Edit Profile Welch, Lloyd Richard Compute Distance To: Compute Author ID: welch.lloyd-r Published as: Welch, L.; Welch, L. R.; Welch, Lloyd R. External Links: MGP · Wikidata · dblp Documents Indexed: 30 Publications since 1958 all top 5 Co-Authors 3 single-authored 8 Scholtz, Robert Arno 5 Golomb, Solomon Wolf 4 Gordon, Basil 4 Rumsey, Howard jun. 4 Terry, C. M. 4 Youngs, J. W. T. 3 McEliece, Robert James 3 Reed, Irving S. 2 Mills, William Harold 2 Rodemich, Eugene R. 2 Truong, Trieu-Kien 1 Berlekamp, Elwyn R. 1 Hoffman, Frederick 1 Kumar, P. Vijay 1 Marsh, Richard W. 1 Motzkin, Theodore Samuel 1 Murakami, Hideo 1 Olsen, John D. 1 Tan, Narciso L. 1 Ward, Robert L. all top 5 Serials 13 IEEE Transactions on Information Theory 3 Canadian Journal of Mathematics 2 Journal of Combinatorial Theory. Series A 2 Bulletin of the American Mathematical Society 2 Journal of Combinatorial Theory 1 American Mathematical Monthly 1 Kiberneticheskiĭ Sbornik. Novaya Seriya 1 Pacific Journal of Mathematics 1 SIAM Journal on Applied Mathematics all top 5 Fields 16 Information and communication theory, circuits (94-XX) 4 Number theory (11-XX) 4 Numerical analysis (65-XX) 2 Combinatorics (05-XX) 2 Group theory and generalizations (20-XX) 1 Field theory and polynomials (12-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Convex and discrete geometry (52-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 24 Publications have been cited 548 times in 494 Documents Cited by ▼ Year ▼ Lower bounds on the maximum cross correlation of signals. Zbl 0298.94006Welch, L. R. 127 1974 Generalized bent functions and their properties. Zbl 0585.94016Kumar, P. V.; Scholtz, R. A.; Welch, L. R. 95 1985 New upper bounds on the rate of a code via the Delsarte-MacWilliams inequalities. Zbl 0361.94016McEliece, Robert J.; Rodemich, Eugene R.; Rumsey, Howard jun.; Welch, Lloyd R. 60 1977 Comma-free codes. Zbl 0081.14601Golomb, S. W.; Gordon, Basil; Welch, L. R. 46 1958 Perfect codes in the Lee metric and the packing of polyominoes. Zbl 0192.56302Golomb, S. W.; Welch, L. R. 37 1970 Some new difference sets. Zbl 0111.24201Gordon, B.; Mills, W. H.; Welch, L. R. 36 1962 Weight distributions of the cosets of the \((32,6)\) Reed-Muller code. Zbl 0228.94003Berlekamp, Elwyn R.; Welch, Lloyd R. 35 1972 Bent-function sequences. Zbl 0492.94019Olsen, John D.; Scholtz, Robert A.; Welch, Lloyd R. 26 1982 The genus of \(K_{12s}\). Zbl 0156.22301Terry, C. M.; Welch, L. R.; Youngs, J. W. T. 15 1967 GMW sequences. Zbl 0544.65005Scholtz, R. A.; Welch, Lloyd R. 14 1984 Algebraic coding and the Lee metric. Zbl 0169.51001Golomb, S. W.; Welch, L. R. 14 1969 Comma-free codes. Zbl 0106.11601Golomb, S. W.; Gordon, B.; Welch, L. R. 9 1958 Continued fractions and Berlekamp’s algorithm. Zbl 0388.94014Welch, Lloyd R.; Scholtz, Robert A. 7 1979 On the enumeration of polygons. Zbl 0092.13807Golomb, S. W.; Welch, L. R. 5 1960 Solution of the Heawood map-coloring problem - Case 4. Zbl 0192.60504Terry, C. M.; Welch, L. R.; Youngs, J. W. T. 4 1970 Totally variant sets in finite groups and vector spaces. Zbl 0223.20022Hoffman, Frederick; Welch, Lloyd R. 3 1968 Round trinomials. Zbl 0431.12016Marsh, Richard W.; Mills, W. H.; Ward, Robert L.; Rumsey, Howard jun.; Welch, Lloyd R. 2 1981 Group characters: Sequences with good correlation properties. Zbl 0392.94011Scholtz, Robert A.; Welch, Lloyd R. 2 1978 The fast decoding of Reed-Solomon codes using Fermat theoretic transforms and continued fractions. Zbl 0371.94038Reed, Irving S.; Scholtz, Robert A.; Truong, T. K.; Welch, Lloyd R. 2 1978 Permanents of 0,1-matrices. Zbl 0315.15002Gordon, B.; Motzkin, T. S.; Welch, L. 2 1974 A low-rate improvement on the Elias bound. Zbl 0298.94008Welch, Lloyd R.; McEliece, Robert J.; Rumsey, Howard jun. 2 1974 The genus of \(K_ n, n = 12s\). Zbl 0135.42102Terry, C. M.; Welch, L. R.; Youngs, J. W. T. 2 1965 The genus of \(K_ n, n = 12(2^ m)\). Zbl 0135.42101Terry, C. M.; Welch, L. R.; Youngs, J. W. T. 2 1965 The fast decoding of Reed-Solomon codes using Fermat transforms. Zbl 0385.94016Reed, Irving S.; Truong, T. K.; Welch, L. R. 1 1978 Generalized bent functions and their properties. Zbl 0585.94016Kumar, P. V.; Scholtz, R. A.; Welch, L. R. 95 1985 GMW sequences. Zbl 0544.65005Scholtz, R. A.; Welch, Lloyd R. 14 1984 Bent-function sequences. Zbl 0492.94019Olsen, John D.; Scholtz, Robert A.; Welch, Lloyd R. 26 1982 Round trinomials. Zbl 0431.12016Marsh, Richard W.; Mills, W. H.; Ward, Robert L.; Rumsey, Howard jun.; Welch, Lloyd R. 2 1981 Continued fractions and Berlekamp’s algorithm. Zbl 0388.94014Welch, Lloyd R.; Scholtz, Robert A. 7 1979 Group characters: Sequences with good correlation properties. Zbl 0392.94011Scholtz, Robert A.; Welch, Lloyd R. 2 1978 The fast decoding of Reed-Solomon codes using Fermat theoretic transforms and continued fractions. Zbl 0371.94038Reed, Irving S.; Scholtz, Robert A.; Truong, T. K.; Welch, Lloyd R. 2 1978 The fast decoding of Reed-Solomon codes using Fermat transforms. Zbl 0385.94016Reed, Irving S.; Truong, T. K.; Welch, L. R. 1 1978 New upper bounds on the rate of a code via the Delsarte-MacWilliams inequalities. Zbl 0361.94016McEliece, Robert J.; Rodemich, Eugene R.; Rumsey, Howard jun.; Welch, Lloyd R. 60 1977 Lower bounds on the maximum cross correlation of signals. Zbl 0298.94006Welch, L. R. 127 1974 Permanents of 0,1-matrices. Zbl 0315.15002Gordon, B.; Motzkin, T. S.; Welch, L. 2 1974 A low-rate improvement on the Elias bound. Zbl 0298.94008Welch, Lloyd R.; McEliece, Robert J.; Rumsey, Howard jun. 2 1974 Weight distributions of the cosets of the \((32,6)\) Reed-Muller code. Zbl 0228.94003Berlekamp, Elwyn R.; Welch, Lloyd R. 35 1972 Perfect codes in the Lee metric and the packing of polyominoes. Zbl 0192.56302Golomb, S. W.; Welch, L. R. 37 1970 Solution of the Heawood map-coloring problem - Case 4. Zbl 0192.60504Terry, C. M.; Welch, L. R.; Youngs, J. W. T. 4 1970 Algebraic coding and the Lee metric. Zbl 0169.51001Golomb, S. W.; Welch, L. R. 14 1969 Totally variant sets in finite groups and vector spaces. Zbl 0223.20022Hoffman, Frederick; Welch, Lloyd R. 3 1968 The genus of \(K_{12s}\). Zbl 0156.22301Terry, C. M.; Welch, L. R.; Youngs, J. W. T. 15 1967 The genus of \(K_ n, n = 12s\). Zbl 0135.42102Terry, C. M.; Welch, L. R.; Youngs, J. W. T. 2 1965 The genus of \(K_ n, n = 12(2^ m)\). Zbl 0135.42101Terry, C. M.; Welch, L. R.; Youngs, J. W. T. 2 1965 Some new difference sets. Zbl 0111.24201Gordon, B.; Mills, W. H.; Welch, L. R. 36 1962 On the enumeration of polygons. Zbl 0092.13807Golomb, S. W.; Welch, L. R. 5 1960 Comma-free codes. Zbl 0081.14601Golomb, S. W.; Gordon, Basil; Welch, L. R. 46 1958 Comma-free codes. Zbl 0106.11601Golomb, S. W.; Gordon, B.; Welch, L. R. 9 1958 all cited Publications top 5 cited Publications all top 5 Cited by 703 Authors 14 Michel, Christian J. 13 Mixon, Dustin G. 11 Fickus, Matthew C. 10 Cao, Xiwang 10 Mesnager, Sihem 9 Hou, Xiang-Dong 9 Özbudak, Ferruh 9 Pott, Alexander 8 Hu, Lei 8 Jasper, John 8 Pirillo, Giuseppe 7 Ding, Cunsheng 7 Fu, Fangwei 7 Gravier, Sylvain 7 Meidl, Wilfried 7 Stănică, Pantelimon 7 Zeng, Xiangyong 6 Bodmann, Bernhard G. 6 Feng, Keqin 6 Fimmel, Elena 6 Haas, John I. IV 6 Helleseth, Tor 6 Niu, Minyao 6 Qi, Yanfeng 6 Strüngmann, Lutz H. 6 Tang, Chunming 6 Tang, Xiaohu 6 Yue, Qin 5 Burnashev, Marat V. 5 Carlet, Claude 5 Fan, Cuiling 5 Maitra, Subhamoy 5 Mollard, Michel 5 Pasalic, Enes 5 Schmidt, Kai-Uwe 5 Xu, Guangkui 4 Alpert, Seth R. 4 Barg, Alexander M. 4 Cusick, Thomas W. 4 Feng, Tao 4 Gangopadhyay, Sugata 4 Horák, Peter 4 Jungnickel, Dieter 4 Klapper, Andrew M. 4 Leung, Ka Hin 4 Levenshtein, Vladimir I. 4 Tan, Yin 4 Tonchev, Vladimir D. 4 Wang, Qichun 4 Xiang, Qing 4 Xu, Shanding 4 Youngs, J. W. T. 4 Zhou, Zhengchun 3 Casazza, Peter George 3 Climent, Joan-Josep 3 Costa, Sueli Irene Rodrigues 3 Datta, Somantika 3 Dorbec, Paul 3 Goresky, Robert Mark 3 Heath, Robert W. jun. 3 Hodžić, Samir 3 Huang, Dongmei 3 Kavut, Selçuk 3 Körner, János 3 Langevin, Philippe 3 Li, Nian 3 Li, Yuan 3 Litsyn, Simon N. 3 Liu, Fengmei 3 Luo, Gaojun 3 Martinsen, Thor 3 Meng, Qingshu 3 Okoudjou, Kasso A. 3 Peterson, Jesse D. 3 Pirillo, Mario A. 3 Polyanskiy, Yury 3 Requena, Verónica 3 Samorodnitsky, Alex 3 Scott, Andrew James 3 Sınak, Ahmet 3 Singh, Brajesh Kumar 3 Solé, Patrick 3 Strapasson, João Eloir 3 Yang, Min 3 Zhang, Aixian 3 Zhang, Huanguo 2 Araújo, Carlos A. G. jun. 2 Bandeira, Afonso S. 2 Beivide, Ramón 2 Benedetto, John J. 2 Bhaintwal, Maheshanand 2 Blokhuis, Aart 2 Bobu, Andrei V. 2 Boche, Holger 2 Boyvalenkov, Peter G. 2 Cahill, Jameson 2 Calderbank, Arthur Robert 2 Campello, Antonio 2 Çeşmelioğlu, Ayça 2 Chen, Yu Qing ...and 603 more Authors all top 5 Cited in 134 Serials 54 Designs, Codes and Cryptography 33 Discrete Mathematics 33 Cryptography and Communications 28 Journal of Combinatorial Theory. Series A 27 Discrete Applied Mathematics 15 Linear Algebra and its Applications 15 Applicable Algebra in Engineering, Communication and Computing 14 Finite Fields and their Applications 12 European Journal of Combinatorics 10 Problems of Information Transmission 10 Applied and Computational Harmonic Analysis 8 Information Processing Letters 8 Advances in Mathematics of Communications 7 Theoretical Computer Science 6 Information Sciences 6 Journal of Combinatorial Theory. Series B 5 Journal of Statistical Planning and Inference 5 Discrete & Computational Geometry 5 SIAM Journal on Discrete Mathematics 5 Journal of Theoretical Biology 4 Journal of Complexity 4 International Journal of Computer Mathematics 4 Journal of Algebraic Combinatorics 4 The Journal of Fourier Analysis and Applications 3 Computers & Mathematics with Applications 3 Bulletin of Mathematical Biology 3 Applied Mathematics and Computation 3 Journal of Soviet Mathematics 3 Acta Applicandae Mathematicae 3 Information and Computation 3 International Journal of Foundations of Computer Science 3 Bulletin of the American Mathematical Society. New Series 3 Journal of Combinatorial Optimization 3 Acta Mathematica Sinica. English Series 2 Bulletin of the Australian Mathematical Society 2 Journal of Mathematical Physics 2 Linear and Multilinear Algebra 2 Mathematical Notes 2 Acta Mathematica 2 Advances in Mathematics 2 Journal of Functional Analysis 2 Proceedings of the American Mathematical Society 2 Transactions of the American Mathematical Society 2 Journal of Cryptology 2 Journal of Combinatorial Designs 2 Advances in Computational Mathematics 2 Discussiones Mathematicae. Graph Theory 2 Mathematical Problems in Engineering 2 Doklady Mathematics 2 Journal of Discrete Mathematical Sciences & Cryptography 2 RAIRO. Theoretical Informatics and Applications 2 Journal of Machine Learning Research (JMLR) 2 Science in China. Series F 2 Bulletin of the American Mathematical Society 2 Journal of Mathematical Cryptology 2 Journal of Physics A: Mathematical and Theoretical 2 Science China. Mathematics 1 Acta Informatica 1 Applicable Analysis 1 IEEE Transactions on Information Theory 1 Inverse Problems 1 Israel Journal of Mathematics 1 Journal d’Analyse Mathématique 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Biology 1 Journal of Statistical Physics 1 Mathematical Biosciences 1 Archiv der Mathematik 1 Duke Mathematical Journal 1 Glasgow Mathematical Journal 1 Journal of Algebra 1 Journal of Approximation Theory 1 Journal of Computer and System Sciences 1 Journal of Geometry 1 Journal of Number Theory 1 Journal of Pure and Applied Algebra 1 Manuscripta Mathematica 1 Numerical Functional Analysis and Optimization 1 Rendiconti del Seminario Matemàtico e Fisico di Milano 1 Advances in Applied Mathematics 1 Journal of Information & Optimization Sciences 1 SIAM Journal on Algebraic and Discrete Methods 1 Bulletin of the Iranian Mathematical Society 1 Applied Numerical Mathematics 1 Acta Mathematicae Applicatae Sinica. English Series 1 Journal of Symbolic Computation 1 Constructive Approximation 1 Algorithmica 1 Applied Mathematics Letters 1 Journal of the American Mathematical Society 1 Science in China. Series A 1 Multidimensional Systems and Signal Processing 1 Neural Computation 1 Aequationes Mathematicae 1 Communications in Statistics. Theory and Methods 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Acta Mathematica Sinica. New Series 1 Mathematical Programming. Series A. Series B 1 Indagationes Mathematicae. New Series 1 Journal of Mathematical Imaging and Vision ...and 34 more Serials all top 5 Cited in 42 Fields 327 Information and communication theory, circuits (94-XX) 160 Combinatorics (05-XX) 121 Number theory (11-XX) 48 Harmonic analysis on Euclidean spaces (42-XX) 40 Order, lattices, ordered algebraic structures (06-XX) 40 Computer science (68-XX) 25 Convex and discrete geometry (52-XX) 21 Biology and other natural sciences (92-XX) 16 Linear and multilinear algebra; matrix theory (15-XX) 15 Geometry (51-XX) 14 Statistics (62-XX) 13 Group theory and generalizations (20-XX) 13 Numerical analysis (65-XX) 12 Operations research, mathematical programming (90-XX) 11 Quantum theory (81-XX) 8 Probability theory and stochastic processes (60-XX) 7 Functional analysis (46-XX) 5 Algebraic geometry (14-XX) 4 Field theory and polynomials (12-XX) 4 Commutative algebra (13-XX) 4 Manifolds and cell complexes (57-XX) 3 Associative rings and algebras (16-XX) 3 Special functions (33-XX) 3 Approximations and expansions (41-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Measure and integration (28-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Operator theory (47-XX) 2 Differential geometry (53-XX) 2 Mechanics of deformable solids (74-XX) 2 Mathematics education (97-XX) 1 Mathematical logic and foundations (03-XX) 1 Nonassociative rings and algebras (17-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Difference and functional equations (39-XX) 1 Sequences, series, summability (40-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 Algebraic topology (55-XX) 1 Statistical mechanics, structure of matter (82-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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