Edit Profile (opens in new tab) MacWilliams, Florence Jessie Co-Author Distance Author ID: macwilliams.florence-jessie Published as: MacWilliams, F. J.; MacWilliams, F. Jessie; MacWilliams, Jessie; MacWilliams, J.; Mac Williams, F. Jessie; Mac Williams, F. J. more...less External Links: Women in Mathematics · MGP · Wikidata · GND · IdRef Documents Indexed: 37 Publications since 1964, including 3 Books Biographic References: 1 Publication Co-Authors: 16 Co-Authors with 23 Joint Publications 708 Co-Co-Authors all top 5 Co-Authors 14 single-authored 14 Sloane, Neil James Alexander 6 Odlyzko, Andrew M. 3 Brouwer, Andries Evert 2 Goethals, Jean-Marie 2 Graham, Ronald Lewis 2 Thompson, John Griggs 2 van Lint, Jacobus Hendricus 1 Berlekamp, Elwyn Ralph 1 Delsarte, Philippe 1 Gilbert, Edgar Nelson 1 Karlin, Maurice 1 Kerdock, Anthony M. 1 Mallows, Colin Lingwood 1 Mann, Henry Berthold 1 Seery, Judith 1 Ward, Harold N. all top 5 Serials 8 IEEE Transactions on Information Theory 6 Bell System Technical Journal 4 Journal of Combinatorial Theory. Series A 3 Kiberneticheskiĭ Sbornik. Novaya Seriya 3 SIAM Journal on Applied Mathematics 2 Discrete Mathematics 2 Information and Control 2 North-Holland Mathematical Library 1 American Mathematical Monthly all top 5 Fields 32 Information and communication theory, circuits (94-XX) 7 Combinatorics (05-XX) 6 Number theory (11-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Associative rings and algebras (16-XX) 1 Statistics (62-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 30 Publications have been cited 2,970 times in 2,668 Documents Cited by ▼ Year ▼ The theory of error-correcting codes. Parts I, II. Zbl 0369.94008MacWilliams, F. J.; Sloane, N. J. A. 2,249 1977 Codes which detect deception. Zbl 0275.94006Gilbert, E. N.; MacWilliams, F. J.; Sloane, N. J. A. 82 1974 On generalized Reed-Muller codes and their relatives. Zbl 0267.94014Delsarte, P.; Goethals, J. M.; Mac Williams, F. J. 81 1970 Permutation decoding of systematic codes. Zbl 0116.35304MacWilliams, Jessie 52 1964 Self-dual codes over GF(4). Zbl 0397.94013MacWilliams, F. J.; Odlyzko, A. M.; Sloane, N. J. A.; Ward, H. N. 51 1978 Generalizations of Gleason’s theorem on weight enumerators of self-dual codes. Zbl 0248.94013MacWilliams, F. Jessie; Mallows, Colin L.; Sloane, Neil J. A. 49 1972 Orthogonal matrices over finite fields. Zbl 0186.33702MacWilliams, J. 46 1969 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 0447.94016MacWilliams, F. J.; Sloane, N. J. A. 44 1979 Good self dual codes exist. Zbl 0248.94011MacWilliams, F. J.; Sloane, N. J. A.; Thompson, J. G. 40 1972 Binary codes which are ideals in the group algebra of an Abelian group. Zbl 0205.20501MacWilliams, F. J. 35 1970 On the \(p\)-rank of the design matrix of a difference set. Zbl 0169.32104MacWilliams, F. J.; Mann, H. B. 32 1968 Bounds for binary codes of length less than 25. Zbl 0369.94011Best, M. R.; Brouwer, A. E.; MacWilliams, F. Jessie; Odlyzko, Andrew M.; Sloane, Neil J. A. 31 1978 On the existence of a projective plane of order 10. Zbl 0251.05020MacWilliams, F. J.; Sloane, N. J. A.; Thompson, J. G. 28 1973 The weight distributions of some minimal cyclic codes. Zbl 0465.94023MacWilliams, Jessie; Seery, Judith 26 1981 Generalized quadratic residue codes. Zbl 0395.94025van Lint, Jacobus H.; MacWilliams, F. Jessie 26 1978 Orthogonal circulant matrices over finite fields, and how to find them. Zbl 0219.15005MacWilliams, F. J. 16 1971 Gleason’s theorem on self-dual codes. Zbl 0239.94005Berlekamp, Elwyn R.; MacWilliams, F. Jessie; Sloane, Neil J. A. 15 1972 On pseudo-random arrays. Zbl 0409.94024van Lint, J. H.; MacWilliams, F. J.; Sloane, N. J. A. 10 1979 The theory of error-correcting codes. Parts I, II. (3rd repr.). Zbl 0657.94010MacWilliams, F. J.; Sloane, N. J. A. 10 1985 The MacWilliams identities for nonlinear codes. Zbl 0301.94010MacWilliams, F. J.; Sloane, N. J. A.; Goethals, J.-M. 9 1972 Codes and ideals in group algebras. Zbl 0301.94009MacWilliams, Jessie 7 1969 On the number of information symbols in difference-set cyclic codes. Zbl 0166.15402Graham, R. L.; MacWilliams, Jessie 6 1966 On binary cyclic codes which are also cyclic codes over \(GF(2^ s)\). Zbl 0205.47001MacWilliams, F. J. 6 1970 The structure and properties of binary cyclic alphabets. Zbl 0132.39902MacWilliams, J. 5 1965 Cyclotomic numbers, coding theory and orthogonal polynomials. Zbl 0248.94010MacWilliams, F. J. 4 1972 Some connections between designs and codes. Zbl 0468.05013MacWilliams, F. J. 3 1981 On finding low weight vectors in quadratic residue codes for \(p=8m\)-1. Zbl 0239.94006Karlin, Maurice; MacWilliams, F. J. 3 1973 Pelikan’s conjecture and cyclotomic cosets. Zbl 0345.12010MacWilliams, F. J.; Odlyzko, A. M. 2 1977 The structure and properties of binary cyclic alphabets. Zbl 0166.15504MacWilliams, J. 1 1967 A new theorem about the Mattson-Solomon polynomial and some applications. Zbl 0277.94007Kerdock, Anthony M.; MacWilliams, F. Jessie; Oldyzko, Andrew M. 1 1974 The theory of error-correcting codes. Parts I, II. (3rd repr.). Zbl 0657.94010MacWilliams, F. J.; Sloane, N. J. A. 10 1985 The weight distributions of some minimal cyclic codes. Zbl 0465.94023MacWilliams, Jessie; Seery, Judith 26 1981 Some connections between designs and codes. Zbl 0468.05013MacWilliams, F. J. 3 1981 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 0447.94016MacWilliams, F. J.; Sloane, N. J. A. 44 1979 On pseudo-random arrays. Zbl 0409.94024van Lint, J. H.; MacWilliams, F. J.; Sloane, N. J. A. 10 1979 Self-dual codes over GF(4). Zbl 0397.94013MacWilliams, F. J.; Odlyzko, A. M.; Sloane, N. J. A.; Ward, H. N. 51 1978 Bounds for binary codes of length less than 25. Zbl 0369.94011Best, M. R.; Brouwer, A. E.; MacWilliams, F. Jessie; Odlyzko, Andrew M.; Sloane, Neil J. A. 31 1978 Generalized quadratic residue codes. Zbl 0395.94025van Lint, Jacobus H.; MacWilliams, F. Jessie 26 1978 The theory of error-correcting codes. Parts I, II. Zbl 0369.94008MacWilliams, F. J.; Sloane, N. J. A. 2,249 1977 Pelikan’s conjecture and cyclotomic cosets. Zbl 0345.12010MacWilliams, F. J.; Odlyzko, A. M. 2 1977 Codes which detect deception. Zbl 0275.94006Gilbert, E. N.; MacWilliams, F. J.; Sloane, N. J. A. 82 1974 A new theorem about the Mattson-Solomon polynomial and some applications. Zbl 0277.94007Kerdock, Anthony M.; MacWilliams, F. Jessie; Oldyzko, Andrew M. 1 1974 On the existence of a projective plane of order 10. Zbl 0251.05020MacWilliams, F. J.; Sloane, N. J. A.; Thompson, J. G. 28 1973 On finding low weight vectors in quadratic residue codes for \(p=8m\)-1. Zbl 0239.94006Karlin, Maurice; MacWilliams, F. J. 3 1973 Generalizations of Gleason’s theorem on weight enumerators of self-dual codes. Zbl 0248.94013MacWilliams, F. Jessie; Mallows, Colin L.; Sloane, Neil J. A. 49 1972 Good self dual codes exist. Zbl 0248.94011MacWilliams, F. J.; Sloane, N. J. A.; Thompson, J. G. 40 1972 Gleason’s theorem on self-dual codes. Zbl 0239.94005Berlekamp, Elwyn R.; MacWilliams, F. Jessie; Sloane, Neil J. A. 15 1972 The MacWilliams identities for nonlinear codes. Zbl 0301.94010MacWilliams, F. J.; Sloane, N. J. A.; Goethals, J.-M. 9 1972 Cyclotomic numbers, coding theory and orthogonal polynomials. Zbl 0248.94010MacWilliams, F. J. 4 1972 Orthogonal circulant matrices over finite fields, and how to find them. Zbl 0219.15005MacWilliams, F. J. 16 1971 On generalized Reed-Muller codes and their relatives. Zbl 0267.94014Delsarte, P.; Goethals, J. M.; Mac Williams, F. J. 81 1970 Binary codes which are ideals in the group algebra of an Abelian group. Zbl 0205.20501MacWilliams, F. J. 35 1970 On binary cyclic codes which are also cyclic codes over \(GF(2^ s)\). Zbl 0205.47001MacWilliams, F. J. 6 1970 Orthogonal matrices over finite fields. Zbl 0186.33702MacWilliams, J. 46 1969 Codes and ideals in group algebras. Zbl 0301.94009MacWilliams, Jessie 7 1969 On the \(p\)-rank of the design matrix of a difference set. Zbl 0169.32104MacWilliams, F. J.; Mann, H. B. 32 1968 The structure and properties of binary cyclic alphabets. Zbl 0166.15504MacWilliams, J. 1 1967 On the number of information symbols in difference-set cyclic codes. Zbl 0166.15402Graham, R. L.; MacWilliams, Jessie 6 1966 The structure and properties of binary cyclic alphabets. Zbl 0132.39902MacWilliams, J. 5 1965 Permutation decoding of systematic codes. Zbl 0116.35304MacWilliams, Jessie 52 1964 all cited Publications top 5 cited Publications all top 5 Cited by 2,811 Authors 74 Solé, Patrick 32 Tonchev, Vladimir D. 31 Key, Jennifer D. 31 Sloane, Neil James Alexander 28 Shi, Minjia 27 Carlet, Claude 27 Zhu, Shixin 25 Dougherty, Steven T. 25 Gulliver, Thomas Aaron 24 Li, Ruihu 20 Solov’eva, Faina Ivanovna 19 Ding, Cunsheng 18 Helleseth, Tor 17 Fu, Fangwei 17 Harada, Masaaki 16 Hamada, Noboru 16 Krotov, Denis S. 16 Villarreal, Rafael Heraclio 15 Cohen, Gérard Denis 15 Fernández-Córdoba, Cristina 15 Jungnickel, Dieter 15 Mesnager, Sihem 15 Östergård, Patric R. J. 15 Zeng, Xiangyong 15 Zinov’ev, Viktor Aleksandrovich 14 Fish, Washiela 14 Hu, Lei 14 Kim, Jon-Lark 14 Liu, Hongwei 14 Liu, Yang 14 Pless, Vera S. 14 Storme, Leo 14 Villanueva, Mercè 13 Kai, Xiaoshan 13 Litsyn, Simon N. 13 Siap, Irfan 12 Borges, Joaquim 12 Calderbank, Arthur Robert 12 Conway, John Horton 12 Gaborit, Philippe 12 Ling, San 12 Mogilnykh, Ivan Yurevich 12 Mwambene, Eric 12 Nechaev, Aleksandr Aleksandrovich 12 Raĭgorodskiĭ, Andreĭ Mikhaĭlovich 12 Rifà, Josep 12 Rodrigues, Bernardo Gabriel 12 Stinson, Douglas Robert 12 Vega, Gerardo 12 Wang, Xiaoqiang 12 Zheng, Dabin 11 Alahmadi, Adel N. 11 Barg, Alexander M. 11 Koukouvinos, Christos 11 Li, Chengju 11 Sharma, Anuradha 11 Yue, Qin 10 Charpin, Pascale 10 Dinh, Hai Quang 10 Hou, Xiang-Dong 10 Hyun, Jong-Yoon 10 La Guardia, Giuliano Gadioli 10 Sarkar, Palash 10 Ward, Harold N. 10 Yang, Shudi 9 Ai, Mingyao 9 Chand Gupta, Kishan 9 Guo, Luobin 9 Lee, Yoonjin 9 Maitra, Subhamoy 9 Markov, Viktor Timofeevich 9 McGuire, Gary 9 Oura, Manabu 9 Schmidt, Kai-Uwe 9 Shiromoto, Keisuke 9 Shparlinski, Igor E. 9 Sok, Lin 9 Wolfmann, Jacques 8 Dodunekov, Stefan Manev 8 Etzion, Tuvi 8 Guenda, Kenza 8 Hirschfeld, James William Peter 8 Honkala, Iiro S. 8 Kim, Hyunkwang 8 Liu, Xiusheng 8 Luo, Jinquan 8 Munemasa, Akihiro 8 Park, Youngho 8 Phelps, Kevin T. 8 Praeger, Cheryl Elisabeth 8 Sala, Massimiliano 8 Tang, Chunming 8 Tapia-Recillas, Horacio 8 Xing, Chaoping 7 Ball, Simeon 7 Batra, Sudhir 7 Beth, Thomas 7 Bhaintwal, Maheshanand 7 Borello, Martino 7 Bruen, Aiden A. ...and 2,711 more Authors all top 5 Cited in 305 Serials 290 Designs, Codes and Cryptography 280 Discrete Mathematics 172 Finite Fields and their Applications 133 Journal of Combinatorial Theory. Series A 99 Discrete Applied Mathematics 85 Applicable Algebra in Engineering, Communication and Computing 69 Cryptography and Communications 58 Linear Algebra and its Applications 55 Quantum Information Processing 51 Advances in Mathematics of Communications 44 Journal of Statistical Planning and Inference 44 European Journal of Combinatorics 39 Problems of Information Transmission 39 Theoretical Computer Science 31 Journal of Algebra 28 Journal of Algebraic Combinatorics 20 Information Processing Letters 20 Journal of Algebra and its Applications 17 Information Sciences 17 SIAM Journal on Algebraic and Discrete Methods 17 Journal of Discrete Mathematical Sciences & Cryptography 15 Communications in Algebra 15 Mathematical Notes 15 Information and Computation 15 Journal of Cryptology 14 International Journal of Theoretical Physics 14 Archiv der Mathematik 14 Applied Mathematics Letters 14 Discrete Mathematics and Applications 14 Journal of Applied Mathematics and Computing 14 Discrete Mathematics, Algorithms and Applications 13 Journal of Pure and Applied Algebra 13 Graphs and Combinatorics 13 SIAM Journal on Discrete Mathematics 13 International Journal of Quantum Information 12 The Electronic Journal of Combinatorics 12 Journal of Algebra, Combinatorics, Discrete Structures and Applications 11 Journal of Geometry 11 Transactions of the American Mathematical Society 11 Journal of Systems Science and Complexity 10 Journal of Number Theory 9 Journal of Computer and System Sciences 9 International Journal of Computer Mathematics 9 Journal of Mathematical Sciences (New York) 9 Doklady Mathematics 8 Computers & Mathematics with Applications 8 Journal of Mathematical Physics 8 Advances in Mathematics 8 Journal of Combinatorial Theory. Series B 8 Statistics & Probability Letters 8 Combinatorica 8 Journal of Symbolic Computation 8 International Journal of Foundations of Computer Science 7 The Annals of Statistics 7 Advances in Applied Mathematics 7 Bulletin of the Korean Mathematical Society 7 Journal of Complexity 7 Cybernetics and Systems Analysis 7 Computational Complexity 7 Computational and Applied Mathematics 7 Sibirskie Èlektronnye Matematicheskie Izvestiya 7 Prikladnaya Diskretnaya Matematika 6 Journal of the Franklin Institute 6 Mathematische Zeitschrift 6 Bulletin of the American Mathematical Society. New Series 6 Science China. Mathematics 5 Journal of Computational and Applied Mathematics 5 Proceedings of the American Mathematical Society 5 Journal of Information & Optimization Sciences 5 Acta Mathematicae Applicatae Sinica. English Series 5 Discrete & Computational Geometry 5 Science in China. Series A 5 Journal de Théorie des Nombres de Bordeaux 5 Theory of Computing Systems 5 Journal of Applied Mathematics 5 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 5 Journal of Mathematical Cryptology 5 Diskretnyĭ Analiz i Issledovanie Operatsiĭ 5 Journal of Theoretical Biology 5 Korean Journal of Mathematics 5 Matematicheskie Voprosy Kriptografii 4 International Journal of Modern Physics B 4 Communications in Mathematical Physics 4 Metrika 4 Mathematics of Computation 4 The Mathematical Intelligencer 4 Annales de l’Institut Fourier 4 Geometriae Dedicata 4 Acta Applicandae Mathematicae 4 Algorithmica 4 Journal of High Energy Physics 4 Journal of Physics A: Mathematical and Theoretical 4 European Journal of Pure and Applied Mathematics 4 Involve 4 Asian-European Journal of Mathematics 4 São Paulo Journal of Mathematical Sciences 3 Bulletin of the Australian Mathematical Society 3 Indian Journal of Pure & Applied Mathematics 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Periodica Mathematica Hungarica ...and 205 more Serials all top 5 Cited in 47 Fields 2,013 Information and communication theory, circuits (94-XX) 673 Combinatorics (05-XX) 596 Number theory (11-XX) 239 Computer science (68-XX) 177 Geometry (51-XX) 149 Quantum theory (81-XX) 145 Group theory and generalizations (20-XX) 109 Algebraic geometry (14-XX) 94 Linear and multilinear algebra; matrix theory (15-XX) 78 Order, lattices, ordered algebraic structures (06-XX) 72 Commutative algebra (13-XX) 67 Statistics (62-XX) 49 Operations research, mathematical programming (90-XX) 46 Associative rings and algebras (16-XX) 40 Field theory and polynomials (12-XX) 35 Numerical analysis (65-XX) 34 Probability theory and stochastic processes (60-XX) 27 Convex and discrete geometry (52-XX) 27 Biology and other natural sciences (92-XX) 21 Special functions (33-XX) 19 Harmonic analysis on Euclidean spaces (42-XX) 16 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 9 Systems theory; control (93-XX) 7 Nonassociative rings and algebras (17-XX) 7 Operator theory (47-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 Approximations and expansions (41-XX) 5 Functional analysis (46-XX) 4 Mathematical logic and foundations (03-XX) 4 Category theory; homological algebra (18-XX) 4 Functions of a complex variable (30-XX) 4 Manifolds and cell complexes (57-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Differential geometry (53-XX) 3 General topology (54-XX) 2 History and biography (01-XX) 2 Topological groups, Lie groups (22-XX) 2 Ordinary differential equations (34-XX) 2 Abstract harmonic analysis (43-XX) 2 Integral transforms, operational calculus (44-XX) 1 General and overarching topics; collections (00-XX) 1 General algebraic systems (08-XX) 1 Measure and integration (28-XX) 1 Difference and functional equations (39-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Algebraic topology (55-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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