Edit Profile (opens in new tab) Sloane, Neil James Alexander Co-Author Distance Author ID: sloane.neil-j-a Published as: Sloane, N. J. A.; Sloane, Neil J. A. Homepage: http://neilsloane.com/ External Links: MGP · Wikidata · Google Scholar · dblp · GND · IdRef Documents Indexed: 251 Publications since 1969, including 13 Books and 15 Additional arXiv Preprints 2 Contributions as Editor · 2 Further Contributions Co-Authors: 136 Co-Authors with 213 Joint Publications 3,547 Co-Co-Authors all top 5 Co-Authors 42 single-authored 55 Conway, John Horton 17 Rains, Eric M. 15 Calderbank, Arthur Robert 14 MacWilliams, Florence Jessie 13 Odlyzko, Andrew M. 10 Mallows, Colin Lingwood 9 Applegate, David L. 8 Hardin, Ronald H. 8 Pless, Vera S. 7 Graham, Ronald Lewis 7 Vaishampayan, Vinay Anant 6 Nebe, Gabriele 5 Brouwer, Andries Evert 5 Leech, John 4 Shor, Peter Williston 4 Thompson, John Griggs 4 Zeilberger, Doron 3 Bannai, Eiichi 3 Berlekamp, Elwyn Ralph 3 Bernstein, Mira 3 Blomberg, Lars 3 Cohen, Gérard Denis 3 Ekhad, Shalosh B. (computer) 3 Hammons, A. Roger jun. 3 Kumar, P. Vijay 3 LeBrun, Marc 3 Lobstein, Antoine-Christophe 3 Parker, Richard A. 3 Queen, Larissa 3 Shannon, S. R. 3 Solé, Patrick 3 Stufken, John 3 Wilks, Allan R. 2 Alekseyev, Max A. 2 Angelini, Éric 2 Barnes, E. S. 2 Borcherds, Richard Ewen 2 Chaffin, Benjamin 2 Cheng, Ying 2 Cloitre, Benoit 2 Diggavi, Suhas N. 2 Goodman-Strauss, Chaim 2 Kilby, Karen E. 2 Lagarias, Jeffrey C. 2 Leon, Jeffrey S. 2 Linderman, John P. 2 Norton, Simon Phillips 2 Oggier, Frédérique E. 2 Sigrist, Rémy 2 Tian, Chao 2 Venkov, Boris B. 2 Ward, Harold N. 1 Ahlswede, Rudolf 1 Aho, Alfred Vaino 1 Apagodu, Moa 1 Babai, László 1 Bambah, R. P. 1 Beferull-Lozano, Baltasar 1 Branicky, Michael S. 1 Burr, Stefan A. 1 Buser, Peter 1 Carroll, Jeremy J. 1 Chen, Chin-Long 1 Clayman, Andrew T. 1 Costa, Sueli Irene Rodrigues 1 De Vlieger, Michael 1 Dekking, Frederik Michel 1 Deléham, Philippe 1 Delsarte, Philippe 1 Downie, Diane E. 1 Duff, T. D. S. 1 Edel, Yves 1 Elser, Veit 1 Erdős, Pál 1 Fishburn, Peter Clingerman 1 Fisher, G. A. 1 Forney, G. David jun. 1 Fraïssé, Roland 1 Gijswijt, Dion C. 1 Gilbert, Edgar Nelson 1 Goethals, Jean-Marie 1 Grünbaum, Branko 1 Guy, Richard Kenneth 1 Hämäläinen, Heikki O. 1 Harwit, Martin 1 Havermann, Hans 1 Hedayat, Abdossamad 1 Heninger, Nadia 1 Huffman, W. Cary 1 Isaacs, M. 1 Kurshan, Robert P. 1 Lawrence, K. Mark 1 Lichtman, Alexander I. 1 Liversidge, Anthony 1 Lomonaco, Samuel J. jun. 1 McKay, Brendan D. 1 Millar, Jessica 1 Mullen, Gary L. 1 Myers, Joseph Samuel 1 Neder, Charlie ...and 50 more Co-Authors all top 5 Serials 40 IEEE Transactions on Information Theory 12 Journal of Combinatorial Theory. Series A 11 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 9 Discrete Mathematics 8 Journal of Integer Sequences 7 Discrete & Computational Geometry 6 SIAM Journal on Algebraic and Discrete Methods 5 Journal of Number Theory 5 Mathematika 5 The Electronic Journal of Combinatorics 4 Canadian Journal of Mathematics 4 The Fibonacci Quarterly 4 Information and Control 4 Bulletin of the American Mathematical Society. New Series 3 Bell System Technical Journal 3 Journal of Statistical Planning and Inference 3 Designs, Codes and Cryptography 3 SIAM Journal on Applied Mathematics 3 Experimental Mathematics 3 Journal of Algebraic Combinatorics 3 Journal of Combinatorial Designs 3 Grundlehren der Mathematischen Wissenschaften 2 American Mathematical Monthly 2 Mathematics Magazine 2 Acta Arithmetica 2 Advances in Mathematics 2 Geometriae Dedicata 2 Inventiones Mathematicae 2 Journal of Algebra 2 Kiberneticheskiĭ Sbornik. Novaya Seriya 2 Linear Algebra and its Applications 2 Notices of the American Mathematical Society 2 Bulletin of the American Mathematical Society 2 North-Holland Mathematical Library 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 The Mathematical Intelligencer 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Nachrichten 1 SIAM Journal on Computing 1 Studia Scientiarum Mathematicarum Hungarica 1 Cryptologia 1 European Journal of Combinatorics 1 Order 1 Graphs and Combinatorics 1 SIAM Journal on Discrete Mathematics 1 IMRN. International Mathematics Research Notices 1 Journal of Physics A: Mathematical and General 1 Comptes Rendus de l’Académie des Sciences. Série I 1 AT& T Bell Laboratories Technical Journal 1 Congressus Numerantium 1 Finite Fields and their Applications 1 Documenta Mathematica 1 Annals of Mathematics. Second Series 1 Integers 1 Physical Review Letters 1 Journal of the Australian Mathematical Society 1 Proceedings of the Cambridge Philosophical Society 1 Journal of Combinatorial Theory 1 Annals of the New York Academy of Sciences 1 Contemporary Mathematics 1 Algorithms and Computation in Mathematics 1 Advances in Mathematics of Communications 1 Annales Mathematicae et Informaticae 1 The College Mathematics Journal 1 Journal of Combinatorics and Number Theory 1 Springer Series in Statistics all top 5 Fields 127 Information and communication theory, circuits (94-XX) 100 Number theory (11-XX) 77 Combinatorics (05-XX) 55 Convex and discrete geometry (52-XX) 20 Group theory and generalizations (20-XX) 11 Geometry (51-XX) 7 Statistics (62-XX) 6 General and overarching topics; collections (00-XX) 6 Order, lattices, ordered algebraic structures (06-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 5 Operations research, mathematical programming (90-XX) 4 Commutative algebra (13-XX) 4 Algebraic geometry (14-XX) 4 Numerical analysis (65-XX) 4 Computer science (68-XX) 3 History and biography (01-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Quantum theory (81-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Mathematical logic and foundations (03-XX) 2 Associative rings and algebras (16-XX) 2 Topological groups, Lie groups (22-XX) 2 Special functions (33-XX) 2 Mathematics education (97-XX) 1 Field theory and polynomials (12-XX) 1 Nonassociative rings and algebras (17-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 216 Publications have been cited 11,143 times in 8,617 Documents Cited by ▼ Year ▼ The theory of error-correcting codes. Parts I, II. Zbl 0369.94008 MacWilliams, F. J.; Sloane, N. J. A. 2,383 1977 The On-Line Encyclopedia of Integer Sequences. Zbl 1044.11108 Sloane, N. J. A. 1,508 2003 The On-Line Encyclopedia of Integer Sequences. Zbl 1274.11001 Sloane, N. J. A. 696 2013 Sphere packings, lattices and groups. With additional contributions by E. Bannai, R. E. Borcherds, J. Leech, S. P. Norton, A. M. Odlyzko, R. A. Parker, L. Queen and B. B. Venkov. 3rd ed. Zbl 0915.52003 Conway, J. H.; Sloane, N. J. A. 538 1999 The \(\mathbb Z_4\)-linearity of Kerdock, Preparata, Goethals, and related codes. Zbl 0811.94039 Hammons, A. Roger jun.; Kumar, P. Vijay; Calderbank, A. R.; Sloane, N. J. A.; Solé, Patrick 508 1994 Quantum error correction via codes over \(\mathrm{GF}(4)\). Zbl 0982.94029 Calderbank, A. Robert; Rains, Eric M.; Shor, P. W.; Sloane, Neil J. A. 466 1998 Sphere packings, lattices and groups. With additional contributions by E. Bannai, J. Leech, S. P. Norton, A. M. Odlyzko, R. A. Parker, L. Queen and B. B. Venkov. Zbl 0634.52002 Conway, J. H.; Sloane, N. J. A. 409 1988 Orthogonal arrays. Theory and applications. Zbl 0935.05001 Hedayat, A. S.; Sloane, N. J. A.; Stufken, John 387 1999 The On-Line Encyclopedia of Integer Sequences. Zbl 1439.11001 Sloane, Neil J. A. 173 2018 Sphere packings, lattices and groups. With additional contributions by E. Bannai, R. E. Borcherds, J. Leech, S. P. Norton, A. M. Odlyzko, R. A. Parker, L. Queen and B. B. Venkov. 2. ed. Zbl 0785.11036 Conway, J. H.; Sloane, N. J. A. 146 1993 The encyclopedia of integer sequences. Incl. 1 IBM/MS-DOS disk. (3.5). Zbl 0845.11001 Sloane, N. J. A.; Plouffe, Simon 141 1995 Self-dual codes. Zbl 0936.94017 Rains, Eric M.; Sloane, N. J. A. 126 1998 A new upper bound on the minimal distance of self-dual codes. Zbl 0713.94016 Conway, J. H.; Sloane, N. J. A. 122 1990 Packing lines, planes, etc.: Packings in Grassmannian spaces. Zbl 0864.51012 Conway, John H.; Hardin, Ronald H.; Sloane, Neil J. A. 121 1996 Modular and \(p\)-adic cyclic codes. Zbl 0848.94020 Calderbank, A. R.; Sloane, N. J. A. 120 1995 Quantum error correction and orthogonal geometry. Zbl 1005.94541 Calderbank, A. R.; Rains, E. M.; Shor, P. W.; Sloane, N. J. A. 112 1997 A handbook of integer sequences. Zbl 0286.10001 Sloane, N. J. A. 101 1973 A note on optimal unimodular lattices. Zbl 0917.11027 Conway, J. H.; Sloane, N. J. A. 96 1998 An upper bound for self-dual codes. Zbl 0254.94011 Mallows, C. L.; Sloane, N. J. A. 90 1973 Codes which detect deception. Zbl 0275.94006 Gilbert, E. N.; MacWilliams, F. J.; Sloane, N. J. A. 82 1974 On additive bases and harmonious graphs. Zbl 0499.05049 Graham, R. L.; Sloane, N. J. A. 80 1980 A new table of constant weight codes. Zbl 0713.94017 Brouwer, A. E.; Shearer, James B.; Sloane, N. J. A.; Smith, Warren D. 71 1990 On the period matrix of a Riemann surface of large genus (with an appendix by J. H. Conway and N. J. A. Sloane). Zbl 0814.14033 Buser, P.; Sarnak, P. 70 1994 Self-dual codes over the integers modulo 4. Zbl 0763.94018 Conway, J. H.; Sloane, N. J. A. 69 1993 Self-dual codes and invariant theory. Zbl 1173.94447 Nebe, Gabriele; Rains, Eric M.; Sloane, Neil J. A. 66 2006 On the classification and enumeration of self-dual codes. Zbl 0305.94011 Pless, Vera; Sloane, N. J. A. 63 1975 Lower bounds for constant weight codes. Zbl 0441.94012 Graham, R. L.; Sloane, N. J. A. 60 1980 Self-dual codes over GF(4). Zbl 0397.94013 MacWilliams, F. J.; Odlyzko, A. M.; Sloane, N. J. A.; Ward, H. N. 54 1978 Generalizations of Gleason’s theorem on weight enumerators of self-dual codes. Zbl 0248.94013 MacWilliams, F. Jessie; Mallows, Colin L.; Sloane, Neil J. A. 53 1972 Self-dual codes over GF(3) and GF(4) of length not exceeding 16. Zbl 0401.94025 Conway, John H.; Pless, Vera; Sloane, Neil J. A. 52 1979 New bounds on the number of unit spheres that can touch a unit sphere in n dimensions. Zbl 0408.52007 Odlyzko, A. M.; Sloane, N. J. A. 52 1979 McLaren’s improved snub cube and other new spherical designs in three dimensions. Zbl 0858.05024 Hardin, R. H.; Sloane, N. J. A. 51 1996 A linear construction for certain Kerdock and Preparata codes. Zbl 0783.94026 Calderbank, A. R.; Hammons, A. R. jun.; Kumar, P. Vijay; Sloane, N. J. A.; Solé, Patrick 47 1993 The theory of error-correcting codes. Parts I, II. (Теория кодов, исправляющих ошибки. Части. I, II) (Translation from the English by I. I. Grushko and V. A. Zinov’ev, edited by L. A. Bassalygo.) Zbl 0447.94016 MacWilliams, F. J.; Sloane, N. J. A. 44 1979 Error-correcting codes and invariant theory: new applications of a nineteenth-century technique. Zbl 0357.94014 Sloane, N. J. A. 44 1977 The On-Line Encyclopedia of Integer Sequences. (Abstract). Zbl 1159.11327 Sloane, Neil J. A. 44 2007 The shadow theory of modular and unimodular lattices. Zbl 0917.11026 Rains, E. M.; Sloane, N. J. A. 43 1998 Sphere packings and error-correcting codes. Zbl 0207.52205 Leech, J.; Sloane, N. J. A. 42 1971 The binary self-dual codes of length up to 32: A revised enumeration. Zbl 0751.94009 Conway, J. H.; Pless, Vera S.; Sloane, N. J. A. 42 1992 Self-dual codes over GF(3). Zbl 0343.94011 Mallows, C. L.; Pless, V.; Sloane, N. J. A. 41 1976 On the covering radius of codes. Zbl 0585.94012 Graham, R. L.; Sloane, N. J. A. 40 1985 Covering arrays and intersecting codes. Zbl 0828.05023 Sloane, N. J. A. 40 1993 Good self dual codes exist. Zbl 0248.94011 MacWilliams, F. J.; Sloane, N. J. A.; Thompson, J. G. 40 1972 Further results on the covering radius of codes. Zbl 0618.94014 Cohen, Gerard D.; Lobstein, Antoine C.; Sloane, N. J. A. 38 1986 Upper bounds for modular forms, lattices, and codes. Zbl 0311.94002 Mallows, C. L.; Odlyzko, A. M.; Sloane, N. J. A. 37 1975 Low-dimensional lattices. VI: Voronoi reduction of three-dimensional lattices. Zbl 0747.11027 Conway, J. H.; Sloane, N. J. A. 36 1992 Two-graphs, switching classes and Euler graphs are equal in number. Zbl 0275.05125 Mallows, C. L.; Sloane, N. J. A. 35 1975 On single-deletion-correcting codes. Zbl 1021.94530 Sloane, N. J. A. 34 2002 Bounds for binary codes of length less than 25. Zbl 0369.94011 Best, M. R.; Brouwer, A. E.; MacWilliams, F. Jessie; Odlyzko, Andrew M.; Sloane, Neil J. A. 32 1978 Some canonical sequences of integers. Zbl 0832.05002 Bernstein, M.; Sloane, N. J. A. 29 1995 Some doubly exponential sequences. Zbl 0277.10011 Aho, A. V.; Sloane, N. J. A. 28 1973 On the existence of a projective plane of order 10. Zbl 0251.05020 MacWilliams, F. J.; Sloane, N. J. A.; Thompson, J. G. 28 1973 The invariants of the Clifford groups. Zbl 1002.11057 Nebe, Gabriele; Rains, E. M.; Sloane, N. J. A. 28 2001 Low-dimensional lattices. IV: The mass formula. Zbl 0655.10023 Conway, J. H.; Sloane, N. J. A. 28 1988 A new approach to the construction of optimal designs. Zbl 0799.62082 Hardin, R. H.; Sloane, N. J. A. 28 1993 Self-dual codes over GF(5). Zbl 0483.94018 Leon, J. S.; Pless, V.; Sloane, N. J. A. 27 1982 The covering radius of the Leech lattice. Zbl 0496.10020 Conway, J. H.; Parker, R. A.; Sloane, N. J. A. 27 1982 Twenty-three constructions for the Leech lattice. Zbl 0496.10021 Conway, J. H.; Sloane, N. J. A. 26 1982 On the enumeration of lattices of determinant one. Zbl 0496.10023 Conway, J. H.; Sloane, N. J. A. 25 1982 Ternary codes of minimum weight 6 and the classification of the self-dual codes of length 20. Zbl 0434.94013 Pless, Vera; Sloane, N. J. A.; Ward, Harold N. 24 1980 A group-theoretic framework for the construction of packings in Grassmannian spaces. Zbl 0941.51033 Calderbank, A. R.; Hardin, R. H.; Rains, E. M.; Shor, P. W.; Sloane, N. J. A. 24 1999 Is there a \((72,36)\) \(d = 16\) self-dual code? Zbl 0248.94012 Sloane, N. J. A. 23 1973 The orchard problem. Zbl 0311.05024 Burr, Stefan A.; Grünbaum, Branko; Sloane, N. J. A. 22 1974 Cyclic self-dual codes. Zbl 0505.94025 Sloane, N. J. A.; Thompson, J. G. 22 1983 On ternary self-dual codes of length 24. Zbl 0458.94040 Leon, Jeffrey S.; Pless, Vera; Sloane, N. J. A. 21 1981 Low-dimensional lattices. I: Quadratic forms of small determinant. Zbl 0655.10020 Conway, J. H.; Sloane, N. J. A. 21 1988 Four-dimensional lattices with the same theta series. Zbl 0770.11022 Conway, J. H.; Sloane, N. J. A. 21 1992 Bounds on mixed binary/ternary codes. Zbl 0911.94009 Brouwer, A. E.; Hämäläinen, Heikki O.; Östergård, Patric R. J.; Sloane, N. J. A. 20 1998 The Coxeter-Todd lattice, the Mitchell group, and related sphere packings. Zbl 0518.10035 Conway, J. H.; Sloane, N. J. A. 20 1983 The cell structures of certain lattices. Zbl 0738.52014 Conway, John H.; Sloane, Neil J. A. 20 1991 A linear programming bound for orthogonal arrays with mixed levels. Zbl 0873.05023 Sloane, N. J. A.; Stufken, J. 19 1996 Low-dimensional lattices. VII: Coordination sequences. Zbl 1066.11505 Conway, J. H.; Sloane, N. J. A. 18 1997 Double circulant codes over \(\mathbb{Z}_ 4\) and even unimodular lattices. Zbl 0881.94026 Calderbank, A. R.; Sloane, N. J. A. 18 1997 New spherical 4-designs. Zbl 0767.05036 Hardin, R. H.; Sloane, N. J. A. 18 1992 Lexicographic codes: error-correcting codes from game theory. Zbl 0594.94023 Conway, John H.; Sloane, N. J. A. 17 1986 Low-dimensional lattices. III: Perfect forms. Zbl 0655.10022 Conway, J. H.; Sloane, N. J. A. 17 1988 Hadamard transform optics. Zbl 0477.94001 Harwit, Martin; Sloane, Neil J. A. 17 1979 Gleason’s theorem on self-dual codes. Zbl 0239.94005 Berlekamp, Elwyn R.; MacWilliams, F. Jessie; Sloane, Neil J. A. 17 1972 Self-dual codes and lattices. Zbl 0407.94009 Sloane, N. J. A. 16 1979 Shift-register synthesis (modulo \(m\)). Zbl 0574.68056 Reeds, J. A.; Sloane, N. J. A. 16 1985 Low-dimensional lattices. V: Integral coordinates for integral lattices. Zbl 0699.10035 Conway, J. H.; Sloane, N. J. A. 16 1989 Uniqueness of certain spherical codes. Zbl 0411.05028 Bannai, Eiichi; Sloane, N. J. A. 15 1981 A new operation on sequences: The boustrophedon transform. Zbl 0858.05007 Millar, J.; Sloane, N. J. A.; Young, N. E. 15 1996 An improvement to the Minkowski-Hlawka bound for packing superballs. Zbl 0606.10028 Rush, Jason A.; Sloane, N. J. A. 15 1987 Weight enumerator for second-order Reed-Muller codes. Zbl 0205.20701 Sloane, Neil J. A.; Berlekamp, Elwyn R. 15 1970 The optimal lattice quantizer in three dimensions. Zbl 0509.52010 Barnes, E. S.; Sloane, N. J. A. 15 1983 An introduction to association schemes and coding theory. Zbl 0333.94001 Sloane, N. J. A. 14 1975 Codes over GF(4) and complex lattices. Zbl 0376.94009 Sloane, N. J. A. 14 1978 Tables of sphere packings and spherical codes. Zbl 0483.05022 Sloane, N. J. A. 14 1981 Voronoi regions of lattices, second moments of polytopes, and quantization. Zbl 0495.94003 Conway, J. H.; Sloane, N. J. A. 14 1982 New sphere packings in dimensions 9 - 15. Zbl 0198.55103 Leech, J.; Sloane, N. J. A. 13 1970 New family of single-error correcting codes. Zbl 0206.21201 Sloane, N. J. A.; Whitehead, D. S. 13 1970 New lattice packings of spheres. Zbl 0474.10022 Barnes, E. S.; Sloane, N. J. A. 13 1983 On lattices equivalent to their duals. Zbl 0810.11041 Conway, J. H.; Sloane, N. J. A. 12 1994 A family of optimal packings in Grassmannian manifolds. Zbl 0904.52009 Shor, P. W.; Sloane, N. J. A. 12 1998 Fast quantizing and decoding algorithms for lattice quantizers and codes. Zbl 0497.94013 Conway, J. H.; Sloane, N. J. A. 12 1982 An on-line version of “The Encyclopedia of Integer Sequences”. Zbl 0815.11001 Sloane, N. J. A. 11 1994 Gray codes for reflection groups. Zbl 0684.20036 Conway, J. H.; Sloane, N. J. A.; Wilks, Allan R. 11 1989 Low-dimensional lattices. II: Subgroups of \(\text{GL}(n, \mathbb Z)\). Zbl 0655.10021 Conway, J. H.; Sloane, N. J. A. 11 1988 The Nordstrom-Robinson code is the binary image of the octacode. Zbl 0804.94021 Forney, G. D. jun.; Sloane, N. J. A.; Trott, M. D. 11 1993 Graphical enumeration and stained glass windows. I: Rectangular grids. Zbl 1487.51009 Blomberg, Lars; Shannon, S. R.; Sloane, N. J. A. 1 2021 Queens in exile: non-attacking queens on infinite chess boards. Zbl 1435.91038 Dekking, F. Michel; Shallit, Jeffrey; Sloane, N. J. A. 3 2020 On Kaprekar’s junction numbers. Zbl 07730644 Alekseyev, Max A.; Sloane, N. J. A. 1 2020 “Choix de Bruxelles”: a new operation on positive integers. Zbl 1457.11014 Angelini, Éric; Blomberg, Lars; Neder, Charlie; Sigrist, Rémy; Sloane, N. J. A. 1 2019 The On-Line Encyclopedia of Integer Sequences. Zbl 1439.11001 Sloane, Neil J. A. 173 2018 On the number of ON cells in cellular automata. Zbl 1426.11018 Sloane, N. J. A. 3 2018 Analysis of the gift exchange problem. Zbl 1430.05003 Apagodu, Moa; Applegate, David; Sloane, N. J. A.; Zeilberger, Doron 2 2017 The Yellowstone permutation. Zbl 1332.11031 Applegate, David L.; Havermann, Hans; Selcoe, Robert G.; Shevelev, Vladimir; Sloane, N. J. A.; Zumkeller, Reinhard 1 2015 2178 and all that. Zbl 1327.11009 Sloane, N. J. A. 2 2014 The On-Line Encyclopedia of Integer Sequences. Zbl 1274.11001 Sloane, N. J. A. 696 2013 On curling numbers of integer sequences. Zbl 1301.68210 Chaffin, Benjamin; Linderman, John P.; Sloane, N. J. A.; Wilks, Allan R. 2 2013 Carryless arithmetic\(\mod 10\). Zbl 1272.97019 Applegate, David; LeBrun, Marc; Sloane, N. J. A. 1 2012 Dismal arithmetic. Zbl 1290.11007 Applegate, David; LeBrun, Marc; Sloane, N. J. A. 3 2011 A note on projecting the cubic lattice. Zbl 1237.11031 Sloane, N. J. A.; Vaishampayan, Vinay A.; Costa, Sueli I. R. 3 2011 The toothpick sequence and other sequences from cellular automata. Zbl 1262.11046 Applegate, David; Pol, Omar E.; Sloane, N. J. A. 1 2010 A coding algorithm for constant weight vectors: a geometric approach based on dissections. Zbl 1367.94379 Tian, Chao; Vaishampayan, Vinay A.; Sloane, N. J. A. 1 2009 The On-Line Encyclopedia of Integer Sequences. (Abstract). Zbl 1159.11327 Sloane, Neil J. A. 44 2007 A slow-growing sequence defined by an unusual recurrence. Zbl 1137.11010 van de Bult, Fokko J.; Gijswijt, Dion C.; Linderman, John P.; Sloane, N. J. A.; Wilks, Allan R. 1 2007 The optimal isodual lattice quantizer in three dimensions. Zbl 1210.52009 Conway, J. H.; Sloane, N. J. A. 1 2007 Self-dual codes and invariant theory. Zbl 1173.94447 Nebe, Gabriele; Rains, Eric M.; Sloane, Neil J. A. 66 2006 On the integrality of \(n\)th roots of generating functions. Zbl 1203.94138 Heninger, Nadia; Rains, E. M.; Sloane, N. J. A. 7 2006 On non-squashing partitions. Zbl 1128.11046 Sloane, N. J. A.; Sellers, James A. 9 2005 Complete weight enumerators of generalized doubly-even self-dual codes. Zbl 1107.94013 Nebe, Gabriele; Quebbemann, H.-G.; Rains, E. M.; Sloane, N. J. A. 10 2004 Codes and invariant theory. Zbl 1077.94024 Nebe, G.; Rains, E. M.; Sloane, N. J. A. 9 2004 Acyclic digraphs and eigenvalues of \((0,1)\)-matrices. Zbl 1064.05101 McKay, Brendan D.; Oggier, Frédérique E.; Royle, Gordon F.; Sloane, N. J. A.; Wanless, Ian M.; Wilf, Herbert S. 6 2004 Approximate squaring. Zbl 1115.11045 Lagarias, J. C.; Sloane, N. J. A. 1 2004 The number of hierarchical orderings. Zbl 1055.06003 Sloane, N. J. A.; Wieder, Thomas 1 2004 The On-Line Encyclopedia of Integer Sequences. Zbl 1044.11108 Sloane, N. J. A. 1,508 2003 On asymmetric coverings and covering numbers. Zbl 1013.05024 Applegate, David; Rains, E. M.; Sloane, N. J. A. 6 2003 Quantizing using lattice intersections. Zbl 1077.52508 Sloane, N. J. A.; Beferull-Lozano, B. 2 2003 Numerical analogues of Aronson’s sequence. Zbl 1142.11310 Cloitre, Benoit; Sloane, N. J. A.; Vandermast, Matthew J. 1 2003 On single-deletion-correcting codes. Zbl 1021.94530 Sloane, N. J. A. 34 2002 The lattice of \(N\)-run orthogonal arrays. Zbl 0989.62041 Rains, E. M.; Sloane, N. J. A.; Stufken, John 5 2002 A simple construction for the Barnes-Wall lattices. Zbl 1039.94532 Nebe, G.; Rains, E. M.; Sloane, N. J. A. 5 2002 The EKG sequence. Zbl 1117.11302 Lagarias, J. C.; Rains, E. M.; Sloane, N. J. A. 2 2002 A Zador-like formula for quantizers based on periodic tilings. Zbl 1062.94018 Sloane, Neil J. A.; Vaishampayan, Vinay A. 1 2002 The invariants of the Clifford groups. Zbl 1002.11057 Nebe, Gabriele; Rains, E. M.; Sloane, N. J. A. 28 2001 Multiple-description vector quantization with lattice codebooks: Design and analysis. Zbl 0999.94015 Vaishampayan, Vinay A.; Sloane, N. J. A.; Servetto, Sergio D. 1 2001 Sphere packings, lattices and groups. With additional contributions by E. Bannai, R. E. Borcherds, J. Leech, S. P. Norton, A. M. Odlyzko, R. A. Parker, L. Queen and B. B. Venkov. 3rd ed. Zbl 0915.52003 Conway, J. H.; Sloane, N. J. A. 538 1999 Orthogonal arrays. Theory and applications. Zbl 0935.05001 Hedayat, A. S.; Sloane, N. J. A.; Stufken, John 387 1999 A group-theoretic framework for the construction of packings in Grassmannian spaces. Zbl 0941.51033 Calderbank, A. R.; Hardin, R. H.; Rains, E. M.; Shor, P. W.; Sloane, N. J. A. 24 1999 My favorite integer sequences. Zbl 1049.11026 Sloane, N. J. A. 6 1999 Updated tables of parameters of \((t,m,s)\)-nets. Zbl 0929.05011 Clayman, Andrew T.; Lawrence, K. Mark; Mullen, Gary L.; Niederreiter, Harald; Sloane, N. J. A. 5 1999 On Cayley’s enumeration of alkanes (or 4-valent trees). Zbl 0999.05053 Rains, E. M.; Sloane, N. J. A. 4 1999 On the existence of similar sublattices. Zbl 0963.52006 Conway, J. H.; Rains, E. M.; Sloane, N. J. A. 2 1999 Quantum error correction via codes over \(\mathrm{GF}(4)\). Zbl 0982.94029 Calderbank, A. Robert; Rains, Eric M.; Shor, P. W.; Sloane, Neil J. A. 466 1998 Self-dual codes. Zbl 0936.94017 Rains, Eric M.; Sloane, N. J. A. 126 1998 A note on optimal unimodular lattices. Zbl 0917.11027 Conway, J. H.; Sloane, N. J. A. 96 1998 The shadow theory of modular and unimodular lattices. Zbl 0917.11026 Rains, E. M.; Sloane, N. J. A. 43 1998 Bounds on mixed binary/ternary codes. Zbl 0911.94009 Brouwer, A. E.; Hämäläinen, Heikki O.; Östergård, Patric R. J.; Sloane, N. J. A. 20 1998 A family of optimal packings in Grassmannian manifolds. Zbl 0904.52009 Shor, P. W.; Sloane, N. J. A. 12 1998 The sphere packing problem. Zbl 0906.11034 Sloane, N. J. A. 8 1998 On kissing numbers in dimensions 32 to 128. Zbl 0901.52019 Edel, Yves; Rains, E. M.; Sloane, N. J. A. 3 1998 Quantum error correction and orthogonal geometry. Zbl 1005.94541 Calderbank, A. R.; Rains, E. M.; Shor, P. W.; Sloane, N. J. A. 112 1997 Low-dimensional lattices. VII: Coordination sequences. Zbl 1066.11505 Conway, J. H.; Sloane, N. J. A. 18 1997 Double circulant codes over \(\mathbb{Z}_ 4\) and even unimodular lattices. Zbl 0881.94026 Calderbank, A. R.; Sloane, N. J. A. 18 1997 On sublattices of the hexagonal lattice. Zbl 0872.94009 Bernstein, M.; Sloane, N. J. A.; Wright, Paul E. 9 1997 The primary pretenders. Zbl 0863.11005 Conway, J. H.; Guy, R. K.; Schneeberger, W. A.; Sloane, N. J. A. 3 1997 Some lattices obtained from Riemann surfaces. Zbl 0898.30036 Bernstein, M.; Sloane, N. J. A. 1 1997 Packing lines, planes, etc.: Packings in Grassmannian spaces. Zbl 0864.51012 Conway, John H.; Hardin, Ronald H.; Sloane, Neil J. A. 121 1996 McLaren’s improved snub cube and other new spherical designs in three dimensions. Zbl 0858.05024 Hardin, R. H.; Sloane, N. J. A. 51 1996 A linear programming bound for orthogonal arrays with mixed levels. Zbl 0873.05023 Sloane, N. J. A.; Stufken, J. 19 1996 A new operation on sequences: The boustrophedon transform. Zbl 0858.05007 Millar, J.; Sloane, N. J. A.; Young, N. E. 15 1996 The antipode construction for sphere packings. Zbl 0852.52010 Conway, J. H.; Sloane, N. J. A. 11 1996 The encyclopedia of integer sequences. Incl. 1 IBM/MS-DOS disk. (3.5). Zbl 0845.11001 Sloane, N. J. A.; Plouffe, Simon 141 1995 Modular and \(p\)-adic cyclic codes. Zbl 0848.94020 Calderbank, A. R.; Sloane, N. J. A. 120 1995 Some canonical sequences of integers. Zbl 0832.05002 Bernstein, M.; Sloane, N. J. A. 29 1995 Codes (spherical) and designs (experimental). Zbl 0838.05027 Hardin, R. H.; Sloane, N. J. A. 10 1995 What are all the best sphere packings in low dimensions? Zbl 0844.52013 Conway, J. H.; Sloane, N. J. A. 9 1995 A lattice without a basis of minimal vectors. Zbl 0826.11029 Conway, J. H.; Sloane, N. J. A. 8 1995 Minimal-energy clusters of hard spheres. Zbl 0834.90106 Sloane, N. J. A.; Hardin, R. H.; Duff, T. D. S.; Conway, J. H. 7 1995 The \(\mathbb Z_4\)-linearity of Kerdock, Preparata, Goethals, and related codes. Zbl 0811.94039 Hammons, A. Roger jun.; Kumar, P. Vijay; Calderbank, A. R.; Sloane, N. J. A.; Solé, Patrick 508 1994 On the period matrix of a Riemann surface of large genus (with an appendix by J. H. Conway and N. J. A. Sloane). Zbl 0814.14033 Buser, P.; Sarnak, P. 70 1994 On lattices equivalent to their duals. Zbl 0810.11041 Conway, J. H.; Sloane, N. J. A. 12 1994 An on-line version of “The Encyclopedia of Integer Sequences”. Zbl 0815.11001 Sloane, N. J. A. 11 1994 Quaternary constructions for the binary single-error-correcting codes of Julin, Best and others. Zbl 0802.94022 Conway, J. H.; Sloane, N. J. A. 4 1994 Expressing \((a^ 2+b^ 2+c^ 2+d^ 2)^ 3\) as a sum of 23 sixth powers. Zbl 0810.05010 Hardin, R. H.; Sloane, N. J. A. 4 1994 Comments on: “An on-line version of ‘The Encyclopedia of Integer Sequences{’}”. Zbl 1364.11001 Sloane, N. J. A. 3 1994 Sphere packings, lattices and groups. With additional contributions by E. Bannai, R. E. Borcherds, J. Leech, S. P. Norton, A. M. Odlyzko, R. A. Parker, L. Queen and B. B. Venkov. 2. ed. Zbl 0785.11036 Conway, J. H.; Sloane, N. J. A. 146 1993 Self-dual codes over the integers modulo 4. Zbl 0763.94018 Conway, J. H.; Sloane, N. J. A. 69 1993 A linear construction for certain Kerdock and Preparata codes. Zbl 0783.94026 Calderbank, A. R.; Hammons, A. R. jun.; Kumar, P. Vijay; Sloane, N. J. A.; Solé, Patrick 47 1993 Covering arrays and intersecting codes. Zbl 0828.05023 Sloane, N. J. A. 40 1993 A new approach to the construction of optimal designs. Zbl 0799.62082 Hardin, R. H.; Sloane, N. J. A. 28 1993 The Nordstrom-Robinson code is the binary image of the octacode. Zbl 0804.94021 Forney, G. D. jun.; Sloane, N. J. A.; Trott, M. D. 11 1993 Claude Elwood Shannon. Collected papers. Edited by N. J. A. Sloane and Aaron D. Wyner. With a profile of Shannon by Anthony Liversidge. Zbl 0846.01022 Shannon, Claude Elwood 10 1993 On the apparent duality of the Kerdock and Preparata codes. Zbl 0786.94020 Hammons, A. Roger jun.; Kumar, P. Vijay; Calderbank, A. R.; Sloane, N. J. A.; Solé, Patrick 1 1993 The binary self-dual codes of length up to 32: A revised enumeration. Zbl 0751.94009 Conway, J. H.; Pless, Vera S.; Sloane, N. J. A. 42 1992 Low-dimensional lattices. VI: Voronoi reduction of three-dimensional lattices. Zbl 0747.11027 Conway, J. H.; Sloane, N. J. A. 36 1992 Four-dimensional lattices with the same theta series. Zbl 0770.11022 Conway, J. H.; Sloane, N. J. A. 21 1992 New spherical 4-designs. Zbl 0767.05036 Hardin, R. H.; Sloane, N. J. A. 18 1992 On the covering multiplicity of lattices. Zbl 0754.52007 Conway, J. H.; Sloane, N. J. A. 2 1992 The cell structures of certain lattices. Zbl 0738.52014 Conway, John H.; Sloane, Neil J. A. 20 1991 A strengthening of the Assmus-Mattson theorem. Zbl 0734.94018 Calderbank, A. R.; Delsarte, P.; Sloane, N. J. A. 8 1991 Lattices with few distances. Zbl 0737.11017 Conway, J. H.; Sloane, N. J. A. 6 1991 A new upper bound on the minimal distance of self-dual codes. Zbl 0713.94016 Conway, J. H.; Sloane, N. J. A. 122 1990 A new table of constant weight codes. Zbl 0713.94017 Brouwer, A. E.; Shearer, James B.; Sloane, N. J. A.; Smith, Warren D. 71 1990 A new upper bound for the minimum of an integral lattice of determinant 1. Zbl 0709.11030 Conway, J. H.; Sloane, N. J. A. 10 1990 Penny-packing and two-dimensional codes. Zbl 0686.52010 Graham, R. L.; Sloane, N. J. A. 8 1990 Orbit and coset analysis of the Golay and related codes. Zbl 0738.94018 Conway, J. H.; Sloane, N. J. A. 5 1990 A [45,13] code with minimal distance 16. Zbl 0704.94019 Conway, J. H.; Lomonaco, S. J. jun.; Sloane, N. J. A. 4 1990 ...and 116 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 8,898 Authors 119 Solé, Patrick 89 Mansour, Toufik 79 Harada, Masaaki 69 Sloane, Neil James Alexander 68 Zhu, Shixin 57 Dougherty, Steven T. 51 Fu, Fangwei 50 Shi, Minjia 45 Dinh, Hai Quang 45 Li, Ruihu 44 Shattuck, Mark A. 43 Gulliver, Thomas Aaron 41 Kai, Xiaoshan 38 Nebe, Gabriele 37 Tonchev, Vladimir D. 36 Koukouvinos, Christos 35 Gao, Jian 35 Shallit, Jeffrey Outlaw 33 Östergård, Patric R. J. 33 Yildiz, Bahattin 31 Carlet, Claude 30 Kaya, Abidin 30 Kim, Jon-Lark 29 Baril, Jean-Luc 29 Ling, San 29 Merca, Mircea 28 Ramírez, José Luis 27 Munemasa, Akihiro 26 Key, Jennifer D. 25 Colbourn, Charles J. 25 Fernández-Córdoba, Cristina 25 Helleseth, Tor 25 Sharma, Anuradha 24 Conway, John Horton 24 Lam, Ching Hung 24 Liu, Hongwei 24 Liu, Min-Qian 24 Liu, Xiusheng 23 Cao, Yonglin 23 Yue, Qin 22 Calderbank, Arthur Robert 22 Ding, Cunsheng 22 Krotov, Denis S. 22 Pless, Vera S. 22 Prakash, Om 22 Siap, Irfan 22 Solov’eva, Faina Ivanovna 22 Zinov’ev, Viktor Aleksandrovich 21 Lee, Yoonjin 21 Saff, Edward Barry 21 Villanueva, Mercè 20 Aydin, Nuh 20 Giraudo, Samuele 20 Liu, Yang 20 Ma, Shi-Mei 20 Pang, Shanqi 19 Ai, Mingyao 19 Alahmadi, Adel N. 19 Boĭvalenkov, Pet”r Georgiev 19 Guenda, Kenza 19 Miezaki, Tsuyoshi 19 Zeng, Xiangyong 18 Abualrub, Taher A. 18 Bachoc, Christine 18 Bhaintwal, Maheshanand 18 Evangelaras, Haralambos 18 Ferrari, Luca 18 Gaborit, Philippe 18 Hu, Lei 18 Mesnager, Sihem 18 Novelli, Jean-Christophe 18 Soykan, Yüksel 17 Cao, Xiwang 17 Gildea, Joe 17 Islam, Habibul 17 Jitman, Somphong 17 Kitaev, Sergey 17 Munarini, Emanuele 17 Oura, Manabu 17 Rifà i Coma, Josep 17 Rinaldi, Simone 17 Tang, Chunming 17 Thibon, Jean-Yves 17 Vallentin, Frank 16 Bannai, Eiichi 16 Borges, Joaquim 16 Cao, Yuan 16 Hamada, Noboru 16 Jungnickel, Dieter 16 Kitazume, Masaaki 16 Knopfmacher, Arnold 16 Korban, Adrian 16 Shimada, Ichiro 16 Shimakura, Hiroki 16 Upadhyay, Ashish Kumar 16 Yeh, Yeong-Nan 15 Bag, Tushar 15 Bényi, Beáta 15 Carmelo Interlando, J. 15 Cheon, Gi-Sang ...and 8,798 more Authors all top 5 Cited in 712 Serials 640 Discrete Mathematics 496 Designs, Codes and Cryptography 274 Finite Fields and their Applications 273 Journal of Combinatorial Theory. 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Mathematical Sciences 16 International Journal of Advances in Applied Mathematics and Mechanics 16 Algebraic Combinatorics 15 Metrika 15 Rocky Mountain Journal of Mathematics 15 Manuscripta Mathematica ...and 612 more Serials all top 5 Cited in 63 Fields 3,219 Information and communication theory, circuits (94-XX) 3,037 Combinatorics (05-XX) 2,434 Number theory (11-XX) 725 Computer science (68-XX) 677 Quantum theory (81-XX) 527 Group theory and generalizations (20-XX) 492 Convex and discrete geometry (52-XX) 386 Statistics (62-XX) 371 Algebraic geometry (14-XX) 315 Linear and multilinear algebra; matrix theory (15-XX) 313 Geometry (51-XX) 227 Order, lattices, ordered algebraic structures (06-XX) 224 Operations research, mathematical programming (90-XX) 221 Numerical analysis (65-XX) 182 Probability theory and stochastic processes (60-XX) 174 Associative rings and algebras (16-XX) 171 Commutative algebra (13-XX) 171 Nonassociative rings and algebras (17-XX) 164 Special functions (33-XX) 117 Harmonic analysis on Euclidean spaces (42-XX) 99 Biology and other natural sciences (92-XX) 98 Statistical mechanics, structure of matter (82-XX) 83 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 70 Approximations and expansions (41-XX) 68 Manifolds and cell complexes (57-XX) 66 Field theory and polynomials (12-XX) 66 Dynamical systems and ergodic theory (37-XX) 62 Functions of a complex variable (30-XX) 53 Differential geometry (53-XX) 52 Category theory; homological algebra (18-XX) 52 Functional analysis (46-XX) 45 Topological groups, Lie groups (22-XX) 38 Partial differential equations (35-XX) 36 Real functions (26-XX) 36 Global analysis, analysis on manifolds (58-XX) 35 General and overarching topics; collections (00-XX) 34 Difference and functional equations (39-XX) 33 Mathematical logic and foundations (03-XX) 33 Relativity and gravitational theory (83-XX) 32 Algebraic topology (55-XX) 31 Systems theory; control (93-XX) 30 Operator theory (47-XX) 29 Measure and integration (28-XX) 28 Several complex variables and analytic spaces (32-XX) 28 Ordinary differential equations (34-XX) 26 Potential theory (31-XX) 26 Calculus of variations and optimal control; optimization (49-XX) 24 Integral transforms, operational calculus (44-XX) 23 History and biography (01-XX) 20 Fluid mechanics (76-XX) 19 Mechanics of deformable solids (74-XX) 18 General topology (54-XX) 17 Sequences, series, summability (40-XX) 14 Mechanics of particles and systems (70-XX) 11 Abstract harmonic analysis (43-XX) 11 Mathematics education (97-XX) 10 General algebraic systems (08-XX) 7 Optics, electromagnetic theory (78-XX) 5 Integral equations (45-XX) 4 \(K\)-theory (19-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Astronomy and astrophysics (85-XX) 2 Geophysics (86-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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