Edit Profile Calderbank, Arthur Robert Compute Distance To: Compute Author ID: calderbank.robert Published as: Calderbank, A. R.; Calderbank, A. Robert; Calderbank, R.; Calderbank, Robert External Links: MGP · Wikidata · dblp · GND Documents Indexed: 159 Publications since 1980, including 5 Books Biographic References: 1 Publication all top 5 Co-Authors 20 single-authored 15 Sloane, Neil James Alexander 9 Rodrigues, Miguel R. D. 8 Fishburn, Peter Clingerman 7 Diggavi, Suhas N. 7 Howard, Stephen D. 6 Kumar, P. Vijay 6 Kutyniok, Gitta 5 Al-Dhahir, Naofal 5 Carin, Lawrence 5 McGuire, Gary 5 Rabinovich, Asya 5 Renna, Francesco 5 Seshadri, Nambi 5 Tarokh, Vahid 4 Bajwa, Waheed Uz Zaman 4 Boche, Holger 4 Coffman, Edward Grady jun. 4 Hammons, A. Roger jun. 4 Hanlon, Phil 4 Pezeshki, Ali 4 Solé, Patrick 3 Aggarwal, Vaneet 3 Bennatan, Amir 3 Delsarte, Philippe 3 Flatto, Leopold 3 Forney, G. David jun. 3 Helleseth, Tor 3 Jafarpour, Sina 3 Moran, William 3 Naguib, Ayman 3 Rains, Eric M. 3 Shor, Peter Williston 3 Wales, David B. 3 Wang, Liming 2 Blokhuis, Aart 2 Caire, Giuseppe 2 Chi, Yuejie 2 Costello, Daniel J. jun. 2 Daubechies, Ingrid Chantal 2 Dusad, Sanket 2 Frankl, Péter 2 Goethals, Jean-Marie 2 Goparaju, Sreechakra 2 Harms, Andrew 2 Huang, Jiaji 2 Jafarkhani, Hamid 2 Kantor, William M. 2 Lévy, Yannick 2 Li, Wen-Ch’ing Winnie 2 Mathar, Rudolf 2 Mazo, James E. 2 Morton, Patrick 2 Nokleby, Matthew 2 Poonen, Bjorn 2 Pottie, Gregory J. 2 Qiu, Qiang 2 Sirianunpiboon, Songsri 2 Tamo, Itzhak (Zachi) 2 Thompson, Andrew Frank 2 Vahid, Alireza 2 Vardy, Alexander 2 Vybíral, Jan 2 Wu, Yiyue 2 Yuan, Xin 1 Applebaum, Lorne 1 Ashikhmin, Alexei E. 1 Baker, Brenda S. 1 Barg, Alexander M. 1 Beirami, Ahmad 1 Best, Mark R. 1 Betts, W. 1 Bonnecaze, Alexis 1 Brady, David J. 1 Bremner, Andrew 1 Brouwer, Andries Evert 1 Burnashev, Marat V. 1 Cameron, Peter Jephson 1 Can, Trung 1 Carlson, David Edwin 1 Carson, William R. 1 Casazza, Peter George 1 Cevher, Volkan 1 Chen, Minhua 1 Chiang, Mung 1 Christiansen, Mark M. 1 Chung Graham, Fan-Rong King 1 Cochran, Douglas 1 Das, Sushanta 1 Davis, Linda M. 1 Dihidar, Souvik 1 Duarte, Marco F. 1 Duel-Hallen, Alexandra 1 Duffy, Ken R. 1 Eldar, Yonina Chana 1 Fan, John L. 1 Gelblum, E. A. 1 Georghiades, Costas N. 1 Gilbert, Alton L. 1 Gilbert, Gerald 1 Graham, Ronald Lewis ...and 64 more Co-Authors all top 5 Serials 65 IEEE Transactions on Information Theory 11 IEEE Transactions on Signal Processing 6 Journal of Combinatorial Theory. Series A 5 Applied and Computational Harmonic Analysis 4 Designs, Codes and Cryptography 3 Discrete Mathematics 3 IEEE Transactions on Communications 3 European Journal of Combinatorics 3 Journal of Algebraic Combinatorics 3 Applied and Numerical Harmonic Analysis 2 Proceedings of the London Mathematical Society. Third Series 2 Transactions of the American Mathematical Society 2 SIAM Journal on Algebraic and Discrete Methods 2 SIAM Journal on Discrete Mathematics 2 Linear Algebra and its Applications 2 SIAM Journal on Imaging Sciences 1 Philips Journal of Research 1 The Mathematical Intelligencer 1 Bulletin of the London Mathematical Society 1 Journal of Algebra 1 Journal of the Association for Computing Machinery 1 Journal of the London Mathematical Society. Second Series 1 Journal of Number Theory 1 Mathematics of Operations Research 1 Communications in Statistics. Stochastic Models 1 Graphs and Combinatorics 1 Bulletin of the American Mathematical Society. New Series 1 AT& T Bell Laboratories Technical Journal 1 Combinatorics, Probability and Computing 1 Advances in Computational Mathematics 1 Physical Review Letters 1 EURASIP Journal on Applied Signal Processing 1 Communications in Information and Systems 1 Quantum Information Processing 1 Computer Networks 1 DIMACS. Series in Discrete Mathematics and Theoretical Computer Science 1 Proceedings of Symposia in Applied Mathematics 1 International Journal of Information and Coding Theory all top 5 Fields 133 Information and communication theory, circuits (94-XX) 31 Combinatorics (05-XX) 14 Computer science (68-XX) 12 Number theory (11-XX) 7 Geometry (51-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 6 Numerical analysis (65-XX) 5 General and overarching topics; collections (00-XX) 5 Group theory and generalizations (20-XX) 5 Statistics (62-XX) 5 Quantum theory (81-XX) 5 Operations research, mathematical programming (90-XX) 4 Probability theory and stochastic processes (60-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Optics, electromagnetic theory (78-XX) 2 Commutative algebra (13-XX) 2 Nonassociative rings and algebras (17-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Algebraic geometry (14-XX) 1 Special functions (33-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Abstract harmonic analysis (43-XX) 1 Functional analysis (46-XX) 1 Convex and discrete geometry (52-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 95 Publications have been cited 1,837 times in 1,467 Documents Cited by ▼ Year ▼ The \(\mathbb Z_4\)-linearity of Kerdock, Preparata, Goethals, and related codes. Zbl 0811.94039Hammons, A. Roger jun.; Kumar, P. Vijay; Calderbank, A. R.; Sloane, N. J. A.; Solé, Patrick 360 1994 Quantum error correction via codes over \(\mathrm{GF}(4)\). Zbl 0982.94029Calderbank, A. Robert; Rains, Eric M.; Shor, P. W.; Sloane, Neil J. A. 254 1998 The geometry of two-weight codes. Zbl 0582.94019Calderbank, R.; Kantor, W. M. 190 1986 Modular and \(p\)-adic cyclic codes. Zbl 0848.94020Calderbank, A. R.; Sloane, N. J. A. 94 1995 \(\mathbb{Z}_4\)-Kerdock codes, orthogonal spreads, and extremal Euclidean line-sets. Zbl 0916.94014Calderbank, A. R.; Cameron, P. J.; Kantor, W. M.; Seidel, J. J. 79 1997 Quantum error correction and orthogonal geometry. Zbl 1005.94541Calderbank, A. R.; Rains, E. M.; Shor, P. W.; Sloane, N. J. A. 73 1997 Three-weight codes and association schemes. Zbl 0546.94016Calderbank, A. R.; Goethals, J.-M. 53 1984 Space-time block codes from orthogonal designs. Zbl 0965.94004Tarokh, Vahid; Jafarkhani, Hamid; Calderbank, A. R. 47 1999 Space-time codes for high data rate wireless communication: Performance criterion and code construction. Zbl 0910.94013Tarokh, Vahid; Seshadri, Nambi; Calderbank, A. R. 47 1998 Quaternary quadratic residue codes and unimodular lattices. Zbl 0822.94009Bonnecaze, Alexis; Solé, Patrick; Calderbank, A. R. 45 1995 A linear construction for certain Kerdock and Preparata codes. Zbl 0783.94026Calderbank, A. R.; Hammons, A. R. jun.; Kumar, P. Vijay; Sloane, N. J. A.; Solé, Patrick 36 1993 Sensitivity to basis mismatch in compressed sensing. Zbl 1392.94144Chi, Yuejie; Scharf, Louis L.; Pezeshki, Ali; Calderbank, A. Robert 31 2011 Robust dimension reduction, fusion frames, and Grassmannian packings. Zbl 1283.42046Kutyniok, Gitta; Pezeshki, Ali; Calderbank, Robert; Liu, Taotao 31 2009 Wavelet transforms that map integers to integers. Zbl 0941.42017Calderbank, A. R.; Daubechies, Ingrid; Sweldens, Wim; Yeo, Boon-Lock 27 1998 An upper bound for Weil exponential sums over Galois rings and applications. Zbl 0853.11098Kumar, P. Vijay; Helleseth, Tor; Calderbank, A. R. 24 1995 Partitions into even and odd block size and some unusual characters of the symmetric groups. Zbl 0602.20017Calderbank, A. R.; Hanlon, P.; Robinson, R. W. 23 1986 Sparse fusion frames: existence and construction. Zbl 1264.94042Calderbank, Robert; Casazza, Peter G.; Heinecke, Andreas; Kutyniok, Gitta; Pezeshki, Ali 22 2011 A group-theoretic framework for the construction of packings in Grassmannian spaces. Zbl 0941.51033Calderbank, A. R.; Hardin, R. H.; Rains, E. M.; Shor, P. W.; Sloane, N. J. A. 18 1999 Chirp sensing codes: Deterministic compressed sensing measurements for fast recovery. Zbl 1156.94305Applebaum, Lorne; Howard, Stephen D.; Searle, Stephen; Calderbank, Robert 15 2009 The finite Heisenberg-Weyl groups in radar and communications. Zbl 1122.94015Howard, S. D.; Calderbank, A. R.; Moran, W. 15 2006 A global code invariant under the Higman-Sims group. Zbl 0492.20011Calderbank, A. R.; Wales, David B. 15 1982 Two are better than one: fundamental parameters of frame coherence. Zbl 1246.42026Bajwa, Waheed U.; Calderbank, Robert; Mixon, Dustin G. 14 2012 Large families of quaternary sequences with low correlation. Zbl 0943.94512Kumar, P. Vijay; Helleseth, Tor; Calderbank, A. R.; Hammons, A. Roger 14 1996 On uniformly packed [n,n-k,4] codes over GF(q) and a class of caps in PG(k-1,q). Zbl 0545.94014Calderbank, Robert 14 1982 Double circulant codes over \(\mathbb{Z}_ 4\) and even unimodular lattices. Zbl 0881.94026Calderbank, A. R.; Sloane, N. J. A. 13 1997 The application of invariant theory to the existence of quasi-symmetric designs. Zbl 0653.05011Calderbank, A. R. 12 1987 Geometric invariants for quasi-symmetric designs. Zbl 0662.05008Calderbank, A. R. 11 1988 On a pair of dual subschemes of the Hamming scheme \(H_ n(q)\). Zbl 0579.05021Calderbank, A. R.; Goethals, J.-M. 11 1985 On a conjecture of Helleseth regarding pairs of binary \(m\)-sequences. Zbl 0943.94513Calderbank, A. R.; McGuire, Gary; Poonen, Bjorn; Rubinstein, Michael 10 1996 Inequalities for quasisymmetric designs. Zbl 0662.05007Calderbank, A. R. 10 1988 Sequencing problems in two-server systems. Zbl 0593.90033Calderbank, A. R.; Coffman, E. G. jun.; Flatto, L. 10 1985 Efficient and robust compressed sensing using optimized expander graphs. Zbl 1367.94095Jafarpour, Sina; Xu, Weiyu; Hassibi, Babak; Calderbank, Robert 9 2009 The pros and cons of democracy. Zbl 1061.94014Calderbank, A. R.; Daubechies, I. 9 2002 The Sperner capacity of linear and nonlinear codes for the cyclic triangle. Zbl 0778.94004Calderbank, A. R.; Frankl, P.; Graham, R. L.; Li, W.-C. W.; Shepp, L. A. 9 1993 Quasi-symmetric 3-designs and elliptic curves. Zbl 0742.05013Calderbank, A. R.; Morton, Patrick 9 1990 Increasing sequences with nonzero block sums and increasing paths in edge-ordered graphs. Zbl 0542.05058Calderbank, A. R.; Chung, F. R. K.; Sturtevant, D. G. 9 1984 A strengthening of the Assmus-Mattson theorem. Zbl 0734.94018Calderbank, A. R.; Delsarte, P.; Sloane, N. J. A. 8 1991 Approximation algorithms for maximizing the number of squares packed into a rectangle. Zbl 0558.05002Baker, B. S.; Calderbank, A. R.; Coffman, E. G. jun.; Lagarias, J. C. 8 1983 Proof of a conjecture of Sarwate and Pursley regarding pairs of binary \(m\)-sequences. Zbl 0830.94010McGuire, Gary; Calderbank, A. R. 7 1995 A 2-adic approach to the analysis of cyclic codes. Zbl 0898.94011Calderbank, A. R.; Li, Wen-Ching Winnie; Poonen, Bjorn 6 1997 Maximal three-independent subsets of \(\{0,1,2\}^ n\). Zbl 0803.51016Calderbank, A. R.; Fishburn, P. C. 6 1994 Extending the \(t\)-design concept. Zbl 0783.05028Calderbank, A. R.; Delsarte, P. 6 1993 Quasi-symmetric designs and the Smith normal form. Zbl 0766.05008Blokhuis, A.; Calderbank, A. R. 6 1992 Optimum head separation in a disk system with two read/write heads. Zbl 0629.68030Calderbank, A. R.; Coffman, E. G. jun.; Flatto, L. 6 1984 Two-weight ternary codes and the equation \(y^2=4 \times 3^\alpha+13\). Zbl 0517.94012Bremner, A.; Calderbank, R.; Hanlon, P.; Morton, P.; Wolfskill, J. 6 1983 Communications-inspired projection design with application to compressive sensing. Zbl 1260.94010Carson, William R.; Chen, Minhua; Rodrigues, Miguel R. D.; Calderbank, Robert; Carin, Lawrence 5 2012 Space-time codes for high data rate wireless communication: Performance criteria in the presence of channel estimation errors, mobility, and multiple paths. Zbl 0984.94500Tarokh, Vahid; Naguib, Ayman; Seshadri, Nambi; Calderbank, A. R. 5 1999 Minimal tail-biting trellises: the Golay code and more. Zbl 0965.94024Calderbank, A. R.; Forney, G. David jun.; Vardy, Alexander 5 1999 New trellis codes based on lattices and cosets. Zbl 0638.94018Calderbank, A. R.; Sloane, N. J. A. 5 1987 Grassmannian packings from operator Reed-Muller codes. Zbl 1366.94574Ashikhmin, Alexei; Calderbank, A. Robert 4 2010 Volume thresholds for quantum fault tolerance. Zbl 1200.81022Aggarwal, Vaneet; Calderbank, A. Robert; Gilbert, Gerald; Weinstein, Yaakov S. 4 2010 Boolean functions, projection operators, and quantum error correcting codes. Zbl 1214.81064Aggarwal, Vaneet; Calderbank, A. Robert 4 2008 Applications of LDPC codes to the wiretap channel. Zbl 1326.94131Thangaraj, Andrew; Dihidar, Souvik; Calderbank, A. Robert; Mclaughlin, Steven W.; Merolla, Jean-Marc 4 2007 Representations of the symmetric group in deformations of the free Lie algebra. Zbl 0789.17004Calderbank, A. R.; Hanlon, P.; Sundaram, S. 4 1994 Cyclic LRC codes, binary LRC codes, and upper bounds on the distance of cyclic codes. Zbl 1410.94121Tamo, Itzhak; Barg, Alexander; Goparaju, Sreechakra; Calderbank, Robert 3 2016 A survey of compressed sensing. Zbl 1333.94015Boche, Holger; Calderbank, Robert; Kutyniok, Gitta; Vybíral, Jan 3 2015 Doppler resilient Golay complementary waveforms. Zbl 1327.94090Pezeshki, Ali; Calderbank, A. Robert; Moran, William; Howard, Stephen D. 3 2008 A simple signal processing architecture for instantaneous radar polarimetry. Zbl 1205.94035Howard, Stephen D.; Calderbank, A. Robert; Moran, William 3 2007 Construction of a \((64,2^{37},12)\) code via Galois rings. Zbl 0868.94042Calderbank, A. R.; McGuire, Gary 3 1997 Cyclic codes over \(\mathbb{Z}_ 4\), locator polynomials, and Newton’s identities. Zbl 0858.94021Calderbank, A. R.; McGuire, Gary; Kumar, P. Vijay; Helleseth, Tor 3 1996 Multilevel codes for unequal error protection. Zbl 0801.94019Calderbank, A. R.; Seshadri, N. 3 1993 On error-correcting codes and invariant linear forms. Zbl 0768.94020Calderbank, A. R.; Delsarte, P. 3 1993 Symmetric designs as the solution of an extremal problem in combinatorial set theory. Zbl 0654.05007Calderbank, A. R. 3 1988 An Erdős-Ko-Rado theorem for regular intersecting families of octads. Zbl 0616.05010Brouwer, A. E.; Calderbank, A. R. 3 1986 Sequencing two servers on a sphere. Zbl 0554.60092Calderbank, A. R.; Coffman, E. G. jun.; Flatto, L. 3 1985 Bounds on the number of measurements for reliable compressive classification. Zbl 1414.94508Reboredo, Hugo; Renna, Francesco; Calderbank, Robert; Rodrigues, Miguel R. D. 2 2016 An improved sub-packetization bound for minimum storage regenerating codes. Zbl 1360.94374Goparaju, Sreechakra; Tamo, Itzhak; Calderbank, Robert 2 2014 A Bregman matrix and the gradient of mutual information for vector Poisson and Gaussian channels. Zbl 1360.94174Wang, Liming; Carlson, David Edwin; Rodrigues, Miguel R. D.; Calderbank, Robert; Carin, Lawrence 2 2014 Performance bounds for expander-based compressed sensing in Poisson noise. Zbl 1392.94416Raginsky, Maxim; Jafarpour, Sina; Harmany, Zachary T.; Marcia, Roummel F.; Willett, Rebecca M.; Calderbank, Robert 2 2011 The art of signaling: fifty years of coding theory. Zbl 0953.94001Calderbank, A. R. 2 1998 Covering properties of convolutional codes and associated lattices. Zbl 0834.94017Calderbank, A. R.; Fishburn, Peter C.; Rabinovich, Asya 2 1995 Covering bounds for codes. Zbl 0744.94026Calderbank, A. R. 2 1992 Multilevel codes and multistage decoding. Zbl 0667.94010Calderbank, A. R. 2 1989 Nonexistence of a uniformly packed [70,58,5] code. Zbl 0611.94012Calderbank, A. R. 2 1986 Binary convolutional codes with application to magnetic recording. Zbl 0611.94004Calderbank, A. R.; Heegard, Chris; Lee, Ting-Ann 2 1986 A square root bound on the minimum weight in quasi-cyclic codes. Zbl 0519.94009Calderbank, Robert 2 1983 Multiplying vectors in binary quadratic residue codes. Zbl 0504.94029Calderbank, Robert; Wales, David B. 2 1982 Discrimination on the Grassmann manifold: fundamental limits of subspace classifiers. Zbl 1359.94146Nokleby, Matthew; Rodrigues, Miguel; Calderbank, Robert 1 2015 Conditioning of random block subdictionaries with applications to block-sparse recovery and regression. Zbl 1359.94059Bajwa, Waheed U.; Duarte, Marco F.; Calderbank, Robert 1 2015 Compressed sensing and its applications. MATHEON workshop, Berlin, Germany, December 2013. Zbl 1320.94007Boche, Holger (ed.); Calderbank, Robert (ed.); Kutyniok, Gitta (ed.); Vybíral, Jan (ed.) 1 2015 On block coherence of frames. Zbl 1302.65097Calderbank, Robert; Thompson, Andrew; Xie, Yao 1 2015 Reconstruction of signals drawn from a Gaussian mixture via noisy compressive measurements. Zbl 1394.94482Renna, Francesco; Calderbank, Robert; Carin, Lawrence; Rodrigues, Miguel R. D. 1 2014 PETRELS: parallel subspace estimation and tracking by recursive least squares from partial observations. Zbl 1394.94127Chi, Yuejie; Eldar, Yonina C.; Calderbank, Robert 1 2013 Reed-Muller sensing matrices and the LASSO (invited paper). Zbl 1257.94011Calderbank, Robert; Jafarpour, Sina 1 2010 Combined array processing and space-time coding. Zbl 0959.94003Tarokh, Vahid; Naguib, Ayman; Seshadri, Nambi; Calderbank, A. Robert 1 1999 \(\mathbb{Z}_ 4\)-linear codes obtained as projections of Kerdock and Delsarte-Goethals codes. Zbl 0867.94028Calderbank, A. R.; McGuire, Gary 1 1995 The normalized second moment of the binary lattice determined by a convolutional code. Zbl 0803.94020Calderbank, A. R.; Fishburn, P. C. 1 1994 On the apparent duality of the Kerdock and Preparata codes. Zbl 0786.94020Hammons, A. Roger jun.; Kumar, P. Vijay; Calderbank, A. R.; Sloane, N. J. A.; Solé, Patrick 1 1993 Improved upper bounds concerning the Erdős-Ko-Rado theorem. Zbl 0793.05136Calderbank, A. R.; Frankl, P. 1 1992 Upper bounds for small trellis codes. Zbl 0775.94106Calderbank, A. R.; Pottie, G. J. 1 1992 Covering machines. Zbl 0754.94006Calderbank, A. R. 1 1992 Covering radius and the chromatic number of Kneser graphs. Zbl 0729.05017Calderbank, A. R. 1 1990 The extension to root systems of a theorem on tournaments. Zbl 0595.05038Calderbank, A. R.; Hanlon, Phil 1 1986 Four-dimensional modulation with an eight-state trellis code. Zbl 0587.94007Calderbank, A. R.; Sloane, N. J. A. 1 1985 The Haemers partial geometry and the Steiner system S(5,8,24). Zbl 0548.05016Calderbank, Robert; Wales, David B. 1 1984 Cyclic LRC codes, binary LRC codes, and upper bounds on the distance of cyclic codes. Zbl 1410.94121Tamo, Itzhak; Barg, Alexander; Goparaju, Sreechakra; Calderbank, Robert 3 2016 Bounds on the number of measurements for reliable compressive classification. Zbl 1414.94508Reboredo, Hugo; Renna, Francesco; Calderbank, Robert; Rodrigues, Miguel R. D. 2 2016 A survey of compressed sensing. Zbl 1333.94015Boche, Holger; Calderbank, Robert; Kutyniok, Gitta; Vybíral, Jan 3 2015 Discrimination on the Grassmann manifold: fundamental limits of subspace classifiers. Zbl 1359.94146Nokleby, Matthew; Rodrigues, Miguel; Calderbank, Robert 1 2015 Conditioning of random block subdictionaries with applications to block-sparse recovery and regression. Zbl 1359.94059Bajwa, Waheed U.; Duarte, Marco F.; Calderbank, Robert 1 2015 Compressed sensing and its applications. MATHEON workshop, Berlin, Germany, December 2013. Zbl 1320.94007Boche, Holger (ed.); Calderbank, Robert (ed.); Kutyniok, Gitta (ed.); Vybíral, Jan (ed.) 1 2015 On block coherence of frames. Zbl 1302.65097Calderbank, Robert; Thompson, Andrew; Xie, Yao 1 2015 An improved sub-packetization bound for minimum storage regenerating codes. Zbl 1360.94374Goparaju, Sreechakra; Tamo, Itzhak; Calderbank, Robert 2 2014 A Bregman matrix and the gradient of mutual information for vector Poisson and Gaussian channels. Zbl 1360.94174Wang, Liming; Carlson, David Edwin; Rodrigues, Miguel R. D.; Calderbank, Robert; Carin, Lawrence 2 2014 Reconstruction of signals drawn from a Gaussian mixture via noisy compressive measurements. Zbl 1394.94482Renna, Francesco; Calderbank, Robert; Carin, Lawrence; Rodrigues, Miguel R. D. 1 2014 PETRELS: parallel subspace estimation and tracking by recursive least squares from partial observations. Zbl 1394.94127Chi, Yuejie; Eldar, Yonina C.; Calderbank, Robert 1 2013 Two are better than one: fundamental parameters of frame coherence. Zbl 1246.42026Bajwa, Waheed U.; Calderbank, Robert; Mixon, Dustin G. 14 2012 Communications-inspired projection design with application to compressive sensing. Zbl 1260.94010Carson, William R.; Chen, Minhua; Rodrigues, Miguel R. D.; Calderbank, Robert; Carin, Lawrence 5 2012 Sensitivity to basis mismatch in compressed sensing. Zbl 1392.94144Chi, Yuejie; Scharf, Louis L.; Pezeshki, Ali; Calderbank, A. Robert 31 2011 Sparse fusion frames: existence and construction. Zbl 1264.94042Calderbank, Robert; Casazza, Peter G.; Heinecke, Andreas; Kutyniok, Gitta; Pezeshki, Ali 22 2011 Performance bounds for expander-based compressed sensing in Poisson noise. Zbl 1392.94416Raginsky, Maxim; Jafarpour, Sina; Harmany, Zachary T.; Marcia, Roummel F.; Willett, Rebecca M.; Calderbank, Robert 2 2011 Grassmannian packings from operator Reed-Muller codes. Zbl 1366.94574Ashikhmin, Alexei; Calderbank, A. Robert 4 2010 Volume thresholds for quantum fault tolerance. Zbl 1200.81022Aggarwal, Vaneet; Calderbank, A. Robert; Gilbert, Gerald; Weinstein, Yaakov S. 4 2010 Reed-Muller sensing matrices and the LASSO (invited paper). Zbl 1257.94011Calderbank, Robert; Jafarpour, Sina 1 2010 Robust dimension reduction, fusion frames, and Grassmannian packings. Zbl 1283.42046Kutyniok, Gitta; Pezeshki, Ali; Calderbank, Robert; Liu, Taotao 31 2009 Chirp sensing codes: Deterministic compressed sensing measurements for fast recovery. Zbl 1156.94305Applebaum, Lorne; Howard, Stephen D.; Searle, Stephen; Calderbank, Robert 15 2009 Efficient and robust compressed sensing using optimized expander graphs. Zbl 1367.94095Jafarpour, Sina; Xu, Weiyu; Hassibi, Babak; Calderbank, Robert 9 2009 Boolean functions, projection operators, and quantum error correcting codes. Zbl 1214.81064Aggarwal, Vaneet; Calderbank, A. Robert 4 2008 Doppler resilient Golay complementary waveforms. Zbl 1327.94090Pezeshki, Ali; Calderbank, A. Robert; Moran, William; Howard, Stephen D. 3 2008 Applications of LDPC codes to the wiretap channel. Zbl 1326.94131Thangaraj, Andrew; Dihidar, Souvik; Calderbank, A. Robert; Mclaughlin, Steven W.; Merolla, Jean-Marc 4 2007 A simple signal processing architecture for instantaneous radar polarimetry. Zbl 1205.94035Howard, Stephen D.; Calderbank, A. Robert; Moran, William 3 2007 The finite Heisenberg-Weyl groups in radar and communications. Zbl 1122.94015Howard, S. D.; Calderbank, A. R.; Moran, W. 15 2006 The pros and cons of democracy. Zbl 1061.94014Calderbank, A. R.; Daubechies, I. 9 2002 Space-time block codes from orthogonal designs. Zbl 0965.94004Tarokh, Vahid; Jafarkhani, Hamid; Calderbank, A. R. 47 1999 A group-theoretic framework for the construction of packings in Grassmannian spaces. Zbl 0941.51033Calderbank, A. R.; Hardin, R. H.; Rains, E. M.; Shor, P. W.; Sloane, N. J. A. 18 1999 Space-time codes for high data rate wireless communication: Performance criteria in the presence of channel estimation errors, mobility, and multiple paths. Zbl 0984.94500Tarokh, Vahid; Naguib, Ayman; Seshadri, Nambi; Calderbank, A. R. 5 1999 Minimal tail-biting trellises: the Golay code and more. Zbl 0965.94024Calderbank, A. R.; Forney, G. David jun.; Vardy, Alexander 5 1999 Combined array processing and space-time coding. Zbl 0959.94003Tarokh, Vahid; Naguib, Ayman; Seshadri, Nambi; Calderbank, A. Robert 1 1999 Quantum error correction via codes over \(\mathrm{GF}(4)\). Zbl 0982.94029Calderbank, A. Robert; Rains, Eric M.; Shor, P. W.; Sloane, Neil J. A. 254 1998 Space-time codes for high data rate wireless communication: Performance criterion and code construction. Zbl 0910.94013Tarokh, Vahid; Seshadri, Nambi; Calderbank, A. R. 47 1998 Wavelet transforms that map integers to integers. Zbl 0941.42017Calderbank, A. R.; Daubechies, Ingrid; Sweldens, Wim; Yeo, Boon-Lock 27 1998 The art of signaling: fifty years of coding theory. Zbl 0953.94001Calderbank, A. R. 2 1998 \(\mathbb{Z}_4\)-Kerdock codes, orthogonal spreads, and extremal Euclidean line-sets. Zbl 0916.94014Calderbank, A. R.; Cameron, P. J.; Kantor, W. M.; Seidel, J. J. 79 1997 Quantum error correction and orthogonal geometry. Zbl 1005.94541Calderbank, A. R.; Rains, E. M.; Shor, P. W.; Sloane, N. J. A. 73 1997 Double circulant codes over \(\mathbb{Z}_ 4\) and even unimodular lattices. Zbl 0881.94026Calderbank, A. R.; Sloane, N. J. A. 13 1997 A 2-adic approach to the analysis of cyclic codes. Zbl 0898.94011Calderbank, A. R.; Li, Wen-Ching Winnie; Poonen, Bjorn 6 1997 Construction of a \((64,2^{37},12)\) code via Galois rings. Zbl 0868.94042Calderbank, A. R.; McGuire, Gary 3 1997 Large families of quaternary sequences with low correlation. Zbl 0943.94512Kumar, P. Vijay; Helleseth, Tor; Calderbank, A. R.; Hammons, A. Roger 14 1996 On a conjecture of Helleseth regarding pairs of binary \(m\)-sequences. Zbl 0943.94513Calderbank, A. R.; McGuire, Gary; Poonen, Bjorn; Rubinstein, Michael 10 1996 Cyclic codes over \(\mathbb{Z}_ 4\), locator polynomials, and Newton’s identities. Zbl 0858.94021Calderbank, A. R.; McGuire, Gary; Kumar, P. Vijay; Helleseth, Tor 3 1996 Modular and \(p\)-adic cyclic codes. Zbl 0848.94020Calderbank, A. R.; Sloane, N. J. A. 94 1995 Quaternary quadratic residue codes and unimodular lattices. Zbl 0822.94009Bonnecaze, Alexis; Solé, Patrick; Calderbank, A. R. 45 1995 An upper bound for Weil exponential sums over Galois rings and applications. Zbl 0853.11098Kumar, P. Vijay; Helleseth, Tor; Calderbank, A. R. 24 1995 Proof of a conjecture of Sarwate and Pursley regarding pairs of binary \(m\)-sequences. Zbl 0830.94010McGuire, Gary; Calderbank, A. R. 7 1995 Covering properties of convolutional codes and associated lattices. Zbl 0834.94017Calderbank, A. R.; Fishburn, Peter C.; Rabinovich, Asya 2 1995 \(\mathbb{Z}_ 4\)-linear codes obtained as projections of Kerdock and Delsarte-Goethals codes. Zbl 0867.94028Calderbank, A. R.; McGuire, Gary 1 1995 The \(\mathbb Z_4\)-linearity of Kerdock, Preparata, Goethals, and related codes. Zbl 0811.94039Hammons, A. Roger jun.; Kumar, P. Vijay; Calderbank, A. R.; Sloane, N. J. A.; Solé, Patrick 360 1994 Maximal three-independent subsets of \(\{0,1,2\}^ n\). Zbl 0803.51016Calderbank, A. R.; Fishburn, P. C. 6 1994 Representations of the symmetric group in deformations of the free Lie algebra. Zbl 0789.17004Calderbank, A. R.; Hanlon, P.; Sundaram, S. 4 1994 The normalized second moment of the binary lattice determined by a convolutional code. Zbl 0803.94020Calderbank, A. R.; Fishburn, P. C. 1 1994 A linear construction for certain Kerdock and Preparata codes. Zbl 0783.94026Calderbank, A. R.; Hammons, A. R. jun.; Kumar, P. Vijay; Sloane, N. J. A.; Solé, Patrick 36 1993 The Sperner capacity of linear and nonlinear codes for the cyclic triangle. Zbl 0778.94004Calderbank, A. R.; Frankl, P.; Graham, R. L.; Li, W.-C. W.; Shepp, L. A. 9 1993 Extending the \(t\)-design concept. Zbl 0783.05028Calderbank, A. R.; Delsarte, P. 6 1993 Multilevel codes for unequal error protection. Zbl 0801.94019Calderbank, A. R.; Seshadri, N. 3 1993 On error-correcting codes and invariant linear forms. Zbl 0768.94020Calderbank, A. R.; Delsarte, P. 3 1993 On the apparent duality of the Kerdock and Preparata codes. Zbl 0786.94020Hammons, A. Roger jun.; Kumar, P. Vijay; Calderbank, A. R.; Sloane, N. J. A.; Solé, Patrick 1 1993 Quasi-symmetric designs and the Smith normal form. Zbl 0766.05008Blokhuis, A.; Calderbank, A. R. 6 1992 Covering bounds for codes. Zbl 0744.94026Calderbank, A. R. 2 1992 Improved upper bounds concerning the Erdős-Ko-Rado theorem. Zbl 0793.05136Calderbank, A. R.; Frankl, P. 1 1992 Upper bounds for small trellis codes. Zbl 0775.94106Calderbank, A. R.; Pottie, G. J. 1 1992 Covering machines. Zbl 0754.94006Calderbank, A. R. 1 1992 A strengthening of the Assmus-Mattson theorem. Zbl 0734.94018Calderbank, A. R.; Delsarte, P.; Sloane, N. J. A. 8 1991 Quasi-symmetric 3-designs and elliptic curves. Zbl 0742.05013Calderbank, A. R.; Morton, Patrick 9 1990 Covering radius and the chromatic number of Kneser graphs. Zbl 0729.05017Calderbank, A. R. 1 1990 Multilevel codes and multistage decoding. Zbl 0667.94010Calderbank, A. R. 2 1989 Geometric invariants for quasi-symmetric designs. Zbl 0662.05008Calderbank, A. R. 11 1988 Inequalities for quasisymmetric designs. Zbl 0662.05007Calderbank, A. R. 10 1988 Symmetric designs as the solution of an extremal problem in combinatorial set theory. Zbl 0654.05007Calderbank, A. R. 3 1988 The application of invariant theory to the existence of quasi-symmetric designs. Zbl 0653.05011Calderbank, A. R. 12 1987 New trellis codes based on lattices and cosets. Zbl 0638.94018Calderbank, A. R.; Sloane, N. J. A. 5 1987 The geometry of two-weight codes. Zbl 0582.94019Calderbank, R.; Kantor, W. M. 190 1986 Partitions into even and odd block size and some unusual characters of the symmetric groups. Zbl 0602.20017Calderbank, A. R.; Hanlon, P.; Robinson, R. W. 23 1986 An Erdős-Ko-Rado theorem for regular intersecting families of octads. Zbl 0616.05010Brouwer, A. E.; Calderbank, A. R. 3 1986 Nonexistence of a uniformly packed [70,58,5] code. Zbl 0611.94012Calderbank, A. R. 2 1986 Binary convolutional codes with application to magnetic recording. Zbl 0611.94004Calderbank, A. R.; Heegard, Chris; Lee, Ting-Ann 2 1986 The extension to root systems of a theorem on tournaments. Zbl 0595.05038Calderbank, A. R.; Hanlon, Phil 1 1986 On a pair of dual subschemes of the Hamming scheme \(H_ n(q)\). Zbl 0579.05021Calderbank, A. R.; Goethals, J.-M. 11 1985 Sequencing problems in two-server systems. Zbl 0593.90033Calderbank, A. R.; Coffman, E. G. jun.; Flatto, L. 10 1985 Sequencing two servers on a sphere. Zbl 0554.60092Calderbank, A. R.; Coffman, E. G. jun.; Flatto, L. 3 1985 Four-dimensional modulation with an eight-state trellis code. Zbl 0587.94007Calderbank, A. R.; Sloane, N. J. A. 1 1985 Three-weight codes and association schemes. Zbl 0546.94016Calderbank, A. R.; Goethals, J.-M. 53 1984 Increasing sequences with nonzero block sums and increasing paths in edge-ordered graphs. Zbl 0542.05058Calderbank, A. R.; Chung, F. R. K.; Sturtevant, D. G. 9 1984 Optimum head separation in a disk system with two read/write heads. Zbl 0629.68030Calderbank, A. R.; Coffman, E. G. jun.; Flatto, L. 6 1984 The Haemers partial geometry and the Steiner system S(5,8,24). Zbl 0548.05016Calderbank, Robert; Wales, David B. 1 1984 Approximation algorithms for maximizing the number of squares packed into a rectangle. Zbl 0558.05002Baker, B. S.; Calderbank, A. R.; Coffman, E. G. jun.; Lagarias, J. C. 8 1983 Two-weight ternary codes and the equation \(y^2=4 \times 3^\alpha+13\). Zbl 0517.94012Bremner, A.; Calderbank, R.; Hanlon, P.; Morton, P.; Wolfskill, J. 6 1983 A square root bound on the minimum weight in quasi-cyclic codes. Zbl 0519.94009Calderbank, Robert 2 1983 A global code invariant under the Higman-Sims group. Zbl 0492.20011Calderbank, A. R.; Wales, David B. 15 1982 On uniformly packed [n,n-k,4] codes over GF(q) and a class of caps in PG(k-1,q). Zbl 0545.94014Calderbank, Robert 14 1982 Multiplying vectors in binary quadratic residue codes. Zbl 0504.94029Calderbank, Robert; Wales, David B. 2 1982 all cited Publications top 5 cited Publications all top 5 Cited by 1,795 Authors 45 Solé, Patrick 34 Zhu, Shi-xin 27 Dougherty, Steven T. 27 Shi, Minjia 26 Li, Ruihu 24 Dinh, Hai Quang 23 Fu, Fangwei 21 Calderbank, Arthur Robert 21 Kai, Xiaoshan 19 Gao, Jian 19 Harada, Masaaki 18 Gulliver, Thomas Aaron 16 Cao, Yonglin 16 Tonchev, Vladimir D. 15 Helleseth, Tor 15 Sloane, Neil James Alexander 15 Yue, Qin 14 Casazza, Peter George 14 Siap, Irfan 14 Xiang, Qing 13 Fernández-Córdoba, Cristina 13 Ling, San 13 Rúa, Ignacio F. 13 Sriboonchitta, Songsak 12 Feng, Tao 12 Fickus, Matthew C. 11 Abualrub, Taher A. 11 Cossidente, Antonio 11 Ding, Cunsheng 11 Feng, Keqin 11 La Guardia, Giuliano Gadioli 11 Mixon, Dustin G. 11 Yildiz, Bahattin 11 Zhou, Zhengchun 10 Cao, Yuan 10 Greferath, Marcus 10 Guenda, Kenza 10 Guo, Luobin 10 Liu, Hongwei 10 Parker, Matthew Geoffrey 10 Villanueva, Mercè 9 Bhaintwal, Maheshanand 9 Borges, Joaquim 9 Kim, Jon-Lark 9 Lee, Yoonjin 9 Li, Chengju 9 Zinov’ev, Viktor Aleksandrovich 8 Bierbrauer, Jürgen 8 Gaborit, Philippe 8 Heng, Ziling 8 Momihara, Koji 8 Qian, Jianfa 8 Tang, Chunming 7 Abdukhalikov, Kanat S. 7 Ashraf, Mohammad 7 Aydin, Nuh 7 Bag, Tushar 7 Bodmann, Bernhard G. 7 Byrne, Eimear 7 Cao, Xiwang 7 Davis, James Avery 7 Ge, Gennian 7 Kantor, William M. 7 Krahmer, Felix 7 Langevin, Philippe 7 Liu, Xiusheng 7 Liu, Yang 7 Mohammad, Ghulam 7 Park, Youngho 7 Upadhyay, Ashish Kumar 7 Wang, Liqi 6 Alahmadi, Adel N. 6 Aydogdu, Ismail 6 Bachoc, Christine 6 Bandi, Ramakrishna 6 Bannai, Eiichi 6 Bartoli, Daniele 6 Chen, Jianzhang 6 Danielsen, Lars Eirik 6 Galindo Pastor, Carlos 6 Guo, Ying 6 Hernando, Fernando 6 Katz, Daniel J. 6 Kutyniok, Gitta 6 Li, Nian 6 Lu, Liangdong 6 Luo, Gaojun 6 Ma, Yuena 6 Marcugini, Stefano 6 Martínez-Moro, Edgar 6 Matsumoto, Ryutaroh 6 Nguyen, Bac Trong 6 Pambianco, Fernanda 6 Rains, Eric M. 6 Rifà, Josep 6 Roy, Aidan 6 Shiromoto, Keisuke 6 Singh, Abhay Kumar 6 Solov’eva, Faina Ivanovna 6 Suda, Sho ...and 1,695 more Authors all top 5 Cited in 216 Serials 162 Designs, Codes and Cryptography 114 Discrete Mathematics 104 Finite Fields and their Applications 59 Journal of Combinatorial Theory. Series A 57 Quantum Information Processing 40 Journal of Algebraic Combinatorics 35 Linear Algebra and its Applications 32 Applied and Computational Harmonic Analysis 32 Cryptography and Communications 31 Advances in Mathematics of Communications 30 European Journal of Combinatorics 30 Applicable Algebra in Engineering, Communication and Computing 29 International Journal of Quantum Information 26 Discrete Applied Mathematics 25 International Journal of Theoretical Physics 24 Journal of Mathematical Physics 21 Discrete Mathematics, Algorithms and Applications 19 Journal of Applied Mathematics and Computing 16 Problems of Information Transmission 15 EURASIP Journal on Advances in Signal Processing 13 The Journal of Fourier Analysis and Applications 12 Journal of Combinatorial Designs 12 Journal of Systems Science and Complexity 12 Journal of Algebra and its Applications 11 Journal of the Franklin Institute 11 Journal of Geometry 11 Journal of Number Theory 11 Graphs and Combinatorics 11 Science in China. Series F 10 Journal of Pure and Applied Algebra 9 Asian-European Journal of Mathematics 9 Journal of Algebra, Combinatorics, Discrete Structures and Applications 8 Information Sciences 8 Journal of Statistical Planning and Inference 8 Transactions of the American Mathematical Society 8 Journal of Physics A: Mathematical and Theoretical 7 Journal of Algebra 6 Information Processing Letters 6 Journal of Mathematical Analysis and Applications 6 Proceedings of the American Mathematical Society 6 Theoretical Computer Science 6 Journal of Complexity 6 Advances in Computational Mathematics 6 New Journal of Physics 6 Physical Review A, Third Series 6 Science China. Mathematics 5 Bulletin of the Korean Mathematical Society 5 International Journal of Computer Mathematics 5 Journal de Théorie des Nombres de Bordeaux 5 Mathematical Problems in Engineering 5 Foundations of Physics 5 SIAM Journal on Imaging Sciences 4 Journal of Combinatorial Theory. Series B 4 Combinatorica 4 Circuits, Systems, and Signal Processing 4 Acta Applicandae Mathematicae 4 Discrete & Computational Geometry 4 Information and Computation 4 Signal Processing 4 Multidimensional Systems and Signal Processing 4 International Journal of Wavelets, Multiresolution and Information Processing 4 Korean Journal of Mathematics 3 International Journal of Modern Physics B 3 Bulletin of the Australian Mathematical Society 3 Communications in Algebra 3 Communications in Mathematical Physics 3 Communications on Pure and Applied Mathematics 3 Applied Mathematics and Computation 3 Journal of Approximation Theory 3 Advances in Applied Mathematics 3 Chinese Annals of Mathematics. Series B 3 SIAM Journal on Discrete Mathematics 3 Science in China. Series A 3 Pattern Recognition 3 Journal of Mathematical Sciences (New York) 3 Wuhan University Journal of Natural Sciences (WUJNS) 3 Physical Review Letters 3 Journal of Applied Mathematics 3 Journal of Shanghai Jiaotong University (Science) 3 Science China. Information Sciences 2 Computers & Mathematics with Applications 2 Indian Journal of Pure & Applied Mathematics 2 Linear and Multilinear Algebra 2 Physica A 2 Mathematics of Computation 2 The Mathematical Intelligencer 2 Annales de l’Institut Fourier 2 The Annals of Statistics 2 Archiv der Mathematik 2 Geometriae Dedicata 2 Mathematische Zeitschrift 2 Journal of Symbolic Computation 2 Algorithmica 2 Applied Mathematics Letters 2 Mathematical and Computer Modelling 2 Random Structures & Algorithms 2 International Journal of Foundations of Computer Science 2 Discrete Mathematics and Applications 2 Automation and Remote Control 2 European Journal of Operational Research ...and 116 more Serials all top 5 Cited in 55 Fields 987 Information and communication theory, circuits (94-XX) 335 Combinatorics (05-XX) 329 Number theory (11-XX) 255 Quantum theory (81-XX) 107 Geometry (51-XX) 76 Harmonic analysis on Euclidean spaces (42-XX) 73 Computer science (68-XX) 51 Group theory and generalizations (20-XX) 47 Numerical analysis (65-XX) 45 Commutative algebra (13-XX) 44 Linear and multilinear algebra; matrix theory (15-XX) 37 Operations research, mathematical programming (90-XX) 28 Associative rings and algebras (16-XX) 24 Statistics (62-XX) 23 Algebraic geometry (14-XX) 22 Functional analysis (46-XX) 21 Systems theory; control (93-XX) 20 Order, lattices, ordered algebraic structures (06-XX) 19 Convex and discrete geometry (52-XX) 17 Nonassociative rings and algebras (17-XX) 13 Field theory and polynomials (12-XX) 12 Biology and other natural sciences (92-XX) 11 Operator theory (47-XX) 11 Probability theory and stochastic processes (60-XX) 6 Topological groups, Lie groups (22-XX) 6 Approximations and expansions (41-XX) 5 Algebraic topology (55-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Special functions (33-XX) 3 History and biography (01-XX) 3 Category theory; homological algebra (18-XX) 2 General and overarching topics; collections (00-XX) 2 Measure and integration (28-XX) 2 Functions of a complex variable (30-XX) 2 Partial differential equations (35-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Abstract harmonic analysis (43-XX) 2 Integral transforms, operational calculus (44-XX) 2 Integral equations (45-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Manifolds and cell complexes (57-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Optics, electromagnetic theory (78-XX) 1 Mathematical logic and foundations (03-XX) 1 General algebraic systems (08-XX) 1 \(K\)-theory (19-XX) 1 Real functions (26-XX) 1 Ordinary differential equations (34-XX) 1 Differential geometry (53-XX) 1 General topology (54-XX) 1 Mechanics of deformable solids (74-XX) 1 Relativity and gravitational theory (83-XX) 1 Geophysics (86-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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