×

zbMATH — the first resource for mathematics

Sloane, Neil James Alexander

Compute Distance To:
Author ID: sloane.neil-j-a Recent zbMATH articles by "Sloane, Neil James Alexander"
Published as: Sloane, N. J. A.; Sloane, Neil J. A.
Homepage: http://neilsloane.com/
External Links: MGP · Wikidata · dblp · GND
Documents Indexed: 231 Publications since 1969, including 14 Books
all top 5

Co-Authors

37 single-authored
53 Conway, John Horton
17 Rains, Eric M.
15 Calderbank, Arthur Robert
14 MacWilliams, Florence Jessie
11 Odlyzko, Andrew M.
10 Mallows, Colin Lingwood
8 Applegate, David L.
8 Hardin, Ronald H.
8 Pless, Vera S.
6 Graham, Ronald Lewis
6 Vaishampayan, Vinay Anant
5 Brouwer, Andries Evert
5 Nebe, Gabriele
4 Shor, Peter Williston
4 Thompson, John Griggs
3 Berlekamp, Elwyn R.
3 Bernstein, Marica
3 Best, Mark R.
3 Cohen, Gérard Denis
3 Hammons, A. Roger jun.
3 Kumar, P. Vijay
3 LeBrun, Marc
3 Lobstein, Antoine-Christophe
3 Solé, Patrick
3 Stufken, John
3 Wilks, Allan R.
2 Bannai, Eiichi
2 Barnes, E. S.
2 Cheng, Ying
2 Cloitre, Benoit
2 Diggavi, Suhas N.
2 Kilby, Karen E.
2 Lagarias, Jeffrey C.
2 Leech, John
2 Leon, Jeffrey S.
2 Linderman, John P.
2 Oggier, Frédérique E.
2 Ward, Harold N.
1 Aho, Alfred Vaino
1 Angelini, Éric
1 Apagodu, Moa
1 Bambah, R. P.
1 Beferull-Lozano, Baltasar
1 Blomberg, Lars
1 Borcherds, Richard Ewen
1 Bos, André
1 Burr, Stefan A.
1 Carroll, Jeremy J.
1 Chaffin, Benjamin
1 Chen, Chin-Long
1 Clayman, Andrew T.
1 Costa, Sueli Irene Rodrigues
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 Fishburn, Peter Clingerman
1 Fisher, G. A.
1 Forney, G. David jun.
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 Lomonaco, Samuel J. jun.
1 McKay, Brendan D.
1 Millar, Jim
1 Mullen, Gary L.
1 Neder, Charlie
1 Niederreiter, Harald
1 Östergård, Patric R. J.
1 Parker, Richard A.
1 Passman, Donald Steven
1 Plouffe, Simon
1 Pol, Omar E.
1 Quebbemann, Heinz-Georg
1 Queen, Larissa
1 Reddy, Sudhakar M.
1 Reeds, James A.
1 Riordan, John F.
1 Rossat, Henri
1 Royle, Gordon F.
1 Rush, Jason A.
1 Schneeberger, W. A.
1 Schroeder, Manfred R.
1 Sehgal, Sudarshan Kumar
1 Seidel, Johan Jacob
...and 22 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 Canadian Journal of Mathematics
5 Journal of Number Theory
5 Mathematika
5 The Electronic Journal of Combinatorics
4 Information and Control
4 Bulletin of the American Mathematical Society. New Series
3 Bell System Technical Journal
3 The Fibonacci Quarterly
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 Journal of Algebra
2 Kiberneticheskiĭ Sbornik. Novaya Seriya
2 Linear Algebra and its Applications
2 Notices of the American Mathematical Society
2 North-Holland Mathematical Library
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Inventiones Mathematicae
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 Physical Review Letters
1 Journal of the Australian Mathematical Society
1 Proceedings of the Cambridge Philosophical Society
1 Bulletin of the American Mathematical 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 Springer Series in Statistics

Publications by Year

Citations contained in zbMATH Open

206 Publications have been cited 8,837 times in 6,571 Documents Cited by Year
The theory of error-correcting codes. Parts I, II. Zbl 0369.94008
MacWilliams, F. J.; Sloane, N. J. A.
1977
The on-line encyclopedia of integer sequences. Zbl 1044.11108
Sloane, N. J. A.
823
2003
The on-line encyclopedia of integer sequences. Zbl 1274.11001
Sloane, N. J. A.
730
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.
377
1999
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.
375
1988
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
374
1994
Orthogonal arrays. Theory and applications. Zbl 0935.05001
Hedayat, A. S.; Sloane, N. J. A.; Stufken, John
271
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.
261
1998
The on-line encyclopedia of integer sequences. (Abstract). Zbl 1159.11327
Sloane, Neil J. A.
135
2007
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.
123
1993
The encyclopedia of integer sequences. Incl. 1 IBM/MS-DOS disk. (3.5). Zbl 0845.11001
Sloane, N. J. A.; Plouffe, Simon
121
1995
A handbook of integer sequences. Zbl 0286.10001
Sloane, N. J. A.
111
1973
Self-dual codes. Zbl 0936.94017
Rains, Eric M.; Sloane, N. J. A.
109
1998
A new upper bound on the minimal distance of self-dual codes. Zbl 0713.94016
Conway, J. H.; Sloane, N. J. A.
106
1990
The on-line encyclopedia of integer sequences. Zbl 1439.11001
Sloane, Neil J. A.
96
2018
Modular and \(p\)-adic cyclic codes. Zbl 0848.94020
Calderbank, A. R.; Sloane, N. J. A.
96
1995
Packing lines, planes, etc.: Packings in Grassmannian spaces. Zbl 0864.51012
Conway, John H.; Hardin, Ronald H.; Sloane, Neil J. A.
92
1996
A note on optimal unimodular lattices. Zbl 0917.11027
Conway, J. H.; Sloane, N. J. A.
91
1998
Quantum error correction and orthogonal geometry. Zbl 1005.94541
Calderbank, A. R.; Rains, E. M.; Shor, P. W.; Sloane, N. J. A.
76
1997
An upper bound for self-dual codes. Zbl 0254.94011
Mallows, C. L.; Sloane, N. J. A.
75
1973
Codes which detect deception. Zbl 0275.94006
Gilbert, E. N.; MacWilliams, F. J.; Sloane, N. J. A.
69
1974
A new table of constant weight codes. Zbl 0713.94017
Brouwer, A. E.; Shearer, James B.; Sloane, N. J. A.; Smith, Warren D.
64
1990
On additive bases and harmonious graphs. Zbl 0499.05049
Graham, R. L.; Sloane, N. J. A.
57
1980
Self-dual codes over the integers modulo 4. Zbl 0763.94018
Conway, J. H.; Sloane, N. J. A.
56
1993
On the classification and enumeration of self-dual codes. Zbl 0305.94011
Pless, Vera; Sloane, N. J. A.
55
1975
Lower bounds for constant weight codes. Zbl 0441.94012
Graham, R. L.; Sloane, N. J. A.
51
1980
Self-dual codes over GF(4). Zbl 0397.94013
MacWilliams, F. J.; Odlyzko, A. M.; Sloane, N. J. A.; Ward, H. N.
46
1978
Self-dual codes and invariant theory. Zbl 1173.94447
Nebe, Gabriele; Rains, Eric M.; Sloane, Neil J. A.
44
2006
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.
44
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.
43
1979
Error-correcting codes and invariant theory: new applications of a nineteenth-century technique. Zbl 0357.94014
Sloane, N. J. A.
41
1977
Two-graphs, switching classes and Euler graphs are equal in number. Zbl 0275.05125
Mallows, C. L.; Sloane, N. J. A.
41
1975
McLaren’s improved snub cube and other new spherical designs in three dimensions. Zbl 0858.05024
Hardin, R. H.; Sloane, N. J. A.
40
1996
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.
40
1972
The theory of error-correcting codes. Parts I, II. Zbl 0447.94016
MacWilliams, F. J.; Sloane, N. J. A.
39
1979
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
38
1993
On the covering radius of codes. Zbl 0585.94012
Graham, R. L.; Sloane, N. J. A.
38
1985
Upper bounds for modular forms, lattices, and codes. Zbl 0311.94002
Mallows, C. L.; Odlyzko, A. M.; Sloane, N. J. A.
38
1975
The shadow theory of modular and unimodular lattices. Zbl 0917.11026
Rains, E. M.; Sloane, N. J. A.
37
1998
Further results on the covering radius of codes. Zbl 0618.94014
Cohen, Gerard D.; Lobstein, Antoine C.; Sloane, N. J. A.
37
1986
Covering arrays and intersecting codes. Zbl 0828.05023
Sloane, N. J. A.
36
1993
Sphere packings and error-correcting codes. Zbl 0207.52205
Leech, J.; Sloane, N. J. A.
35
1971
Self-dual codes over GF(3). Zbl 0343.94011
Mallows, C. L.; Pless, V.; Sloane, N. J. A.
34
1976
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.
33
1992
On single-deletion-correcting codes. Zbl 1021.94530
Sloane, N. J. A.
30
2002
Uniqueness of certain spherical codes. Zbl 0457.05017
Bannai, Eiichi; Sloane, N. J. A.
30
1981
Good self dual codes exist. Zbl 0248.94011
MacWilliams, F. J.; Sloane, N. J. A.; Thompson, J. G.
30
1972
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.
29
1978
Self-dual codes and lattices. Zbl 0407.94009
Sloane, N. J. A.
28
1979
On the existence of a projective plane of order 10. Zbl 0251.05020
MacWilliams, F. J.; Sloane, N. J. A.; Thompson, J. G.
27
1973
Low-dimensional lattices. VI: Voronoi reduction of three-dimensional lattices. Zbl 0747.11027
Conway, J. H.; Sloane, N. J. A.
26
1992
The invariants of the Clifford groups. Zbl 1002.11057
Nebe, Gabriele; Rains, E. M.; Sloane, N. J. A.
24
2001
A new approach to the construction of optimal designs. Zbl 0799.62082
Hardin, R. H.; Sloane, N. J. A.
24
1993
Twenty-three constructions for the Leech lattice. Zbl 0496.10021
Conway, J. H.; Sloane, N. J. A.
24
1982
Some canonical sequences of integers. Zbl 0832.05002
Bernstein, M.; Sloane, N. J. A.
23
1995
The covering radius of the Leech lattice. Zbl 0496.10020
Conway, J. H.; Parker, R. A.; Sloane, N. J. A.
23
1982
Is there a \((72,36)\) \(d = 16\) self-dual code? Zbl 0248.94012
Sloane, N. J. A.
23
1973
Self-dual codes over GF(5). Zbl 0483.94018
Leon, J. S.; Pless, V.; Sloane, N. J. A.
22
1982
On the enumeration of lattices of determinant one. Zbl 0496.10023
Conway, J. H.; Sloane, N. J. A.
21
1982
The orchard problem. Zbl 0311.05024
Burr, Stefan A.; Grünbaum, Branko; Sloane, N. J. A.
21
1974
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.
20
1980
Some doubly exponential sequences. Zbl 0277.10011
Aho, A. V.; Sloane, N. J. A.
20
1973
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.
19
1999
A linear programming bound for orthogonal arrays with mixed levels. Zbl 0873.05023
Sloane, N. J. A.; Stufken, J.
19
1996
The Coxeter-Todd lattice, the Mitchell group, and related sphere packings. Zbl 0518.10035
Conway, J. H.; Sloane, N. J. A.
19
1983
Cyclic self-dual codes. Zbl 0505.94025
Sloane, N. J. A.; Thompson, J. G.
19
1983
Four-dimensional lattices with the same theta series. Zbl 0770.11022
Conway, J. H.; Sloane, N. J. A.
18
1992
Low-dimensional lattices. IV: The mass formula. Zbl 0655.10023
Conway, J. H.; Sloane, N. J. A.
18
1988
The theory of error-correcting codes. Parts I, II. (3rd repr.). Zbl 0657.94010
MacWilliams, F. J.; Sloane, N. J. A.
18
1985
Hadamard transform optics. Zbl 0477.94001
Harwit, Martin; Sloane, Neil J. A.
18
1979
The cell structures of certain lattices. Zbl 0738.52014
Conway, John H.; Sloane, Neil J. A.
16
1991
Low-dimensional lattices. I: Quadratic forms of small determinant. Zbl 0655.10020
Conway, J. H.; Sloane, N. J. A.
16
1988
New spherical 4-designs. Zbl 0767.05036
Hardin, R. H.; Sloane, N. J. A.
15
1992
Low-dimensional lattices. III: Perfect forms. Zbl 0655.10022
Conway, J. H.; Sloane, N. J. A.
15
1988
An improvement to the Minkowski-Hlawka bound for packing superballs. Zbl 0606.10028
Rush, Jason A.; Sloane, N. J. A.
15
1987
Lexicographic codes: error-correcting codes from game theory. Zbl 0594.94023
Conway, John H.; Sloane, N. J. A.
15
1986
On ternary self-dual codes of length 24. Zbl 0458.94040
Leon, Jeffrey S.; Pless, Vera; Sloane, N. J. A.
15
1981
Bounds on mixed binary/ternary codes. Zbl 0911.94009
Brouwer, A. E.; Hämäläinen, Heikki O.; Östergård, Patric R. J.; Sloane, N. J. A.
14
1998
Double circulant codes over \(\mathbb{Z}_ 4\) and even unimodular lattices. Zbl 0881.94026
Calderbank, A. R.; Sloane, N. J. A.
14
1997
A new operation on sequences: The boustrophedon transform. Zbl 0858.05007
Millar, J.; Sloane, N. J. A.; Young, N. E.
14
1996
An On-line version of “The Encyclopedia of Integer Sequences”. Zbl 0815.11001
Sloane, N. J. A.
14
1994
Codes over GF(4) and complex lattices. Zbl 0376.94009
Sloane, N. J. A.
14
1978
Shift-register synthesis (modulo m). Zbl 0574.68056
Reeds, J. A.; Sloane, N. J. A.
13
1985
Uniqueness of certain spherical codes. Zbl 0411.05028
Bannai, Eiichi; Sloane, N. J. A.
13
1981
An introduction to association schemes and coding theory. Zbl 0333.94001
Sloane, N. J. A.
13
1975
The antipode construction for sphere packings. Zbl 0852.52010
Conway, J. H.; Sloane, N. J. A.
12
1996
On lattices equivalent to their duals. Zbl 0810.11041
Conway, J. H.; Sloane, N. J. A.
12
1994
Low-dimensional lattices. V: Integral coordinates for integral lattices. Zbl 0699.10035
Conway, J. H.; Sloane, N. J. A.
12
1989
Fast quantizing and decoding algorithms for lattice quantizers and codes. Zbl 0497.94013
Conway, J. H.; Sloane, N. J. A.
12
1982
Voronoi regions of lattices, second moments of polytopes, and quantization. Zbl 0495.94003
Conway, J. H.; Sloane, N. J. A.
12
1982
Tables of sphere packings and spherical codes. Zbl 0483.05022
Sloane, N. J. A.
12
1981
New family of single-error correcting codes. Zbl 0206.21201
Sloane, N. J. A.; Whitehead, D. S.
12
1970
Low-dimensional lattices. VII: Coordination sequences. Zbl 1066.11505
Conway, J. H.; Sloane, N. J. A.
11
1997
Gray codes for reflection groups. Zbl 0684.20036
Conway, J. H.; Sloane, N. J. A.; Wilks, Allan R.
11
1989
The optimal lattice quantizer in three dimensions. Zbl 0509.52010
Barnes, E. S.; Sloane, N. J. A.
11
1983
Gleason’s theorem on self-dual codes. Zbl 0239.94005
Berlekamp, Elwyn R.; MacWilliams, F. Jessie; Sloane, Neil J. A.
11
1972
Weight enumerator for second-order Reed-Muller codes. Zbl 0205.20701
Sloane, N. J. A.; Berlekamp, E. R.
11
1970
A family of optimal packings in Grassmannian manifolds. Zbl 0904.52009
Shor, P. W.; Sloane, N. J. A.
10
1998
Encrypting by random rotations. Zbl 0507.94010
Sloane, N. J. A.
10
1983
Laminated lattices. Zbl 0502.52016
Conway, J. H.; Sloane, N. J. A.
10
1982
Queens in exile: non-attacking queens on infinite chess boards. Zbl 1435.91038
Dekking, F. Michel; Shallit, Jeffrey; 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.
96
2018
On the number of ON cells in cellular automata. Zbl 1426.11018
Sloane, N. J. A.
1
2018
Analysis of the gift exchange problem. Zbl 1430.05003
Apagodu, Moa; Applegate, David; Sloane, N. J. A.; Zeilberger, Doron
1
2017
2178 and all that. Zbl 1327.11009
Sloane, N. J. A.
1
2014
The on-line encyclopedia of integer sequences. Zbl 1274.11001
Sloane, N. J. A.
730
2013
On curling numbers of integer sequences. Zbl 1301.68210
Chaffin, Benjamin; Linderman, John P.; Sloane, N. J. A.; Wilks, Allan R.
1
2013
A note on projecting the cubic lattice. Zbl 1237.11031
Sloane, N. J. A.; Vaishampayan, Vinay A.; Costa, Sueli I. R.
3
2011
Dismal arithmetic. Zbl 1290.11007
Applegate, David; LeBrun, Marc; Sloane, N. J. A.
2
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.
135
2007
Self-dual codes and invariant theory. Zbl 1173.94447
Nebe, Gabriele; Rains, Eric M.; Sloane, Neil J. A.
44
2006
On the integrality of \(n\)th roots of generating functions. Zbl 1203.94138
Heninger, Nadia; Rains, E. M.; Sloane, N. J. A.
5
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.
9
2004
Codes and invariant theory. Zbl 1077.94024
Nebe, G.; Rains, E. M.; Sloane, N. J. A.
8
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.
4
2004
Approximate squaring. Zbl 1115.11045
Lagarias, J. C.; Sloane, N. J. A.
1
2004
The on-line encyclopedia of integer sequences. Zbl 1044.11108
Sloane, N. J. A.
823
2003
On asymmetric coverings and covering numbers. Zbl 1013.05024
Applegate, David; Rains, E. M.; Sloane, N. J. A.
4
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.
30
2002
A simple construction for the Barnes-Wall lattices. Zbl 1039.94532
Nebe, G.; Rains, E. M.; Sloane, N. J. A.
4
2002
The lattice of \(N\)-run orthogonal arrays. Zbl 0989.62041
Rains, E. M.; Sloane, N. J. A.; Stufken, John
4
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.
24
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.
377
1999
Orthogonal arrays. Theory and applications. Zbl 0935.05001
Hedayat, A. S.; Sloane, N. J. A.; Stufken, John
271
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.
19
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.
5
1999
My favorite integer sequences. Zbl 1049.11026
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.
1
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.
261
1998
Self-dual codes. Zbl 0936.94017
Rains, Eric M.; Sloane, N. J. A.
109
1998
A note on optimal unimodular lattices. Zbl 0917.11027
Conway, J. H.; Sloane, N. J. A.
91
1998
The shadow theory of modular and unimodular lattices. Zbl 0917.11026
Rains, E. M.; Sloane, N. J. A.
37
1998
Bounds on mixed binary/ternary codes. Zbl 0911.94009
Brouwer, A. E.; Hämäläinen, Heikki O.; Östergård, Patric R. J.; Sloane, N. J. A.
14
1998
A family of optimal packings in Grassmannian manifolds. Zbl 0904.52009
Shor, P. W.; Sloane, N. J. A.
10
1998
The sphere packing problem. Zbl 0906.11034
Sloane, N. J. A.
9
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.
76
1997
Double circulant codes over \(\mathbb{Z}_ 4\) and even unimodular lattices. Zbl 0881.94026
Calderbank, A. R.; Sloane, N. J. A.
14
1997
Low-dimensional lattices. VII: Coordination sequences. Zbl 1066.11505
Conway, J. H.; Sloane, N. J. A.
11
1997
On sublattices of the hexagonal lattice. Zbl 0872.94009
Bernstein, M.; Sloane, N. J. A.; Wright, Paul E.
9
1997
Some lattices obtained from Riemann surfaces. Zbl 0898.30036
Bernstein, M.; Sloane, N. J. A.
1
1997
The primary pretenders. Zbl 0863.11005
Conway, J. H.; Guy, R. K.; Schneeberger, W. A.; 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.
92
1996
McLaren’s improved snub cube and other new spherical designs in three dimensions. Zbl 0858.05024
Hardin, R. H.; Sloane, N. J. A.
40
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.
14
1996
The antipode construction for sphere packings. Zbl 0852.52010
Conway, J. H.; Sloane, N. J. A.
12
1996
The encyclopedia of integer sequences. Incl. 1 IBM/MS-DOS disk. (3.5). Zbl 0845.11001
Sloane, N. J. A.; Plouffe, Simon
121
1995
Modular and \(p\)-adic cyclic codes. Zbl 0848.94020
Calderbank, A. R.; Sloane, N. J. A.
96
1995
Some canonical sequences of integers. Zbl 0832.05002
Bernstein, M.; Sloane, N. J. A.
23
1995
A lattice without a basis of minimal vectors. Zbl 0826.11029
Conway, J. H.; Sloane, N. J. A.
8
1995
Codes (spherical) and designs (experimental). Zbl 0838.05027
Hardin, R. H.; Sloane, N. J. A.
7
1995
Minimal-energy clusters of hard spheres. Zbl 0834.90106
Sloane, N. J. A.; Hardin, R. H.; Duff, T. D. S.; Conway, J. H.
6
1995
What are all the best sphere packings in low dimensions? Zbl 0844.52013
Conway, J. H.; Sloane, N. J. A.
6
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
374
1994
An On-line version of “The Encyclopedia of Integer Sequences”. Zbl 0815.11001
Sloane, N. J. A.
14
1994
On lattices equivalent to their duals. Zbl 0810.11041
Conway, J. H.; Sloane, N. J. A.
12
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.
5
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
Comments on: “An On-line version of ‘The Encyclopedia of Integer Sequences”’. Zbl 1364.11001
Sloane, N. J. A.
1
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.
123
1993
Self-dual codes over the integers modulo 4. Zbl 0763.94018
Conway, J. H.; Sloane, N. J. A.
56
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
38
1993
Covering arrays and intersecting codes. Zbl 0828.05023
Sloane, N. J. A.
36
1993
A new approach to the construction of optimal designs. Zbl 0799.62082
Hardin, R. H.; Sloane, N. J. A.
24
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.
9
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.
33
1992
Low-dimensional lattices. VI: Voronoi reduction of three-dimensional lattices. Zbl 0747.11027
Conway, J. H.; Sloane, N. J. A.
26
1992
Four-dimensional lattices with the same theta series. Zbl 0770.11022
Conway, J. H.; Sloane, N. J. A.
18
1992
New spherical 4-designs. Zbl 0767.05036
Hardin, R. H.; Sloane, N. J. A.
15
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.
16
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.
106
1990
A new table of constant weight codes. Zbl 0713.94017
Brouwer, A. E.; Shearer, James B.; Sloane, N. J. A.; Smith, Warren D.
64
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.
9
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
The automorphism group of an [18,9,8] quaternary code. Zbl 0704.94020
Cheng, Ying; Sloane, N. J. A.
2
1990
A [45,13] code with minimal distance 16. Zbl 0704.94019
Conway, J. H.; Lomonaco, S. J. jun.; Sloane, N. J. A.
1
1990
Low-dimensional lattices. V: Integral coordinates for integral lattices. Zbl 0699.10035
Conway, J. H.; Sloane, N. J. A.
12
1989
Gray codes for reflection groups. Zbl 0684.20036
Conway, J. H.; Sloane, N. J. A.; Wilks, Allan R.
11
1989
The solution to Berlekamp’s switching game. Zbl 0664.94024
Fishburn, P. C.; Sloane, N. J. A.
6
1989
Codes from symmetry groups, and a [32,17,8] code. Zbl 0669.94016
Cheng, Ying; Sloane, N. J. A.
3
1989
Representation theory, group rings, and coding theory. Papers in honor of S. D. Berman (1922-1987). Zbl 0666.00005
Isaacs, M. (ed.); Lichtman, A. (ed.); Passman, D. (ed.); Sehgal, S. (ed.); Sloane, N. J. A. (ed.); Zassenhaus, Hans (ed.)
1
1989
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.
375
1988
Low-dimensional lattices. IV: The mass formula. Zbl 0655.10023
Conway, J. H.; Sloane, N. J. A.
18
1988
Low-dimensional lattices. I: Quadratic forms of small determinant. Zbl 0655.10020
Conway, J. H.; Sloane, N. J. A.
16
1988
Low-dimensional lattices. III: Perfect forms. Zbl 0655.10022
Conway, J. H.; Sloane, N. J. A.
15
1988
...and 106 more Documents
all top 5

Cited by 7,185 Authors

94 Solé, Patrick
69 Harada, Masaaki
67 Sloane, Neil James Alexander
64 Mansour, Toufik
46 Dougherty, Steven T.
43 Gulliver, Thomas Aaron
36 Tonchev, Vladimir D.
35 Fu, Fangwei
35 Koukouvinos, Christos
35 Zhu, Shixin
32 Li, Ruihu
32 Nebe, Gabriele
32 Östergård, Patric R. J.
30 Dinh, Hai Quang
29 Shi, Minjia
29 Yildiz, Bahattin
27 Shattuck, Mark A.
26 Carlet, Claude
26 Ling, San
25 Conway, John Horton
25 Kaya, Abidin
25 Key, Jennifer D.
24 Munemasa, Akihiro
23 Kai, Xiaoshan
22 Pless, Vera S.
21 Calderbank, Arthur Robert
21 Gao, Jian
21 Helleseth, Tor
21 Kim, Jon-Lark
21 Merca, Mircea
21 Siap, Irfan
20 Colbourn, Charles J.
20 Lee, Yoonjin
19 Cao, Yonglin
19 Ding, Cunsheng
19 Fernández-Córdoba, Cristina
19 Liu, Hongwei
18 Bannai, Eiichi
18 Lam, Ching Hung
18 Shallit, Jeffrey O.
17 Ai, Mingyao
17 Bachoc, Christine
17 Evangelaras, Haralambos
17 Gaborit, Philippe
17 Hu, Lei
17 Saff, Edward Barry
17 Yue, Qin
16 Baril, Jean-Luc
16 Guenda, Kenza
16 Hamada, Noboru
16 Jungnickel, Dieter
16 Kitazume, Masaaki
16 Novelli, Jean-Christophe
16 Rinaldi, Simone
16 Shapiro, Louis W.
15 Boyvalenkov, Peter G.
15 Cohen, Gérard Denis
15 Sharma, Anuradha
15 Solov’eva, Faina Ivanovna
15 Thibon, Jean-Yves
15 Venkov, Boris B.
15 Zinov’ev, Viktor Aleksandrovich
14 Alahmadi, Adel N.
14 Borges, Joaquim
14 Cheon, Gi-Sang
14 Ferrari, Luca
14 Giraudo, Samuele
14 Jitman, Somphong
14 Krotov, Denis S.
14 Ma, Shi-Mei
14 Oura, Manabu
14 Sriboonchitta, Songsak
14 Villanueva, Mercè
14 Xing, Chaoping
14 Zeng, Xiangyong
13 Cao, Xiwang
13 Costa, Sueli Irene Rodrigues
13 Feng, Keqin
13 Graham, Ronald Lewis
13 Knopfmacher, Arnold
13 Litsyn, Simon N.
13 Mesnager, Sihem
13 Munarini, Emanuele
13 Rains, Eric M.
13 Shimakura, Hiroki
13 Villarreal, Rafael Heraclio
13 Wagner, Stephan G.
12 Abualrub, Taher A.
12 Cameron, Peter Jephson
12 Cao, Yuan
12 Etzion, Tuvi
12 Gildea, Joe
12 Greferath, Marcus
12 Guo, Luobin
12 Honkala, Iiro S.
12 Hou, Xiang-Dong
12 La Guardia, Giuliano Gadioli
12 Nechaev, Aleksandr Aleksandrovich
12 Pambianco, Fernanda
12 Parker, Matthew Geoffrey
...and 7,085 more Authors
all top 5

Cited in 589 Serials

577 Discrete Mathematics
402 Designs, Codes and Cryptography
264 Journal of Combinatorial Theory. Series A
232 Finite Fields and their Applications
195 Discrete Applied Mathematics
173 European Journal of Combinatorics
169 Linear Algebra and its Applications
126 Theoretical Computer Science
120 Journal of Statistical Planning and Inference
116 Journal of Integer Sequences
111 Journal of Algebra
98 Applicable Algebra in Engineering, Communication and Computing
97 Journal of Number Theory
81 Journal of Algebraic Combinatorics
77 Advances in Applied Mathematics
67 Cryptography and Communications
63 Advances in Mathematics
63 Quantum Information Processing
63 Advances in Mathematics of Communications
54 Discrete & Computational Geometry
53 Transactions of the American Mathematical Society
46 Information Processing Letters
44 Mathematics of Computation
43 Graphs and Combinatorics
42 The Electronic Journal of Combinatorics
39 Journal of Pure and Applied Algebra
39 Journal de Théorie des Nombres de Bordeaux
38 Problems of Information Transmission
37 Proceedings of the American Mathematical Society
37 Discrete Mathematics, Algorithms and Applications
36 Journal of Mathematical Physics
35 International Journal of Quantum Information
32 International Journal of Theoretical Physics
31 Statistics & Probability Letters
31 Annals of Combinatorics
30 SIAM Journal on Discrete Mathematics
30 Journal of Algebra and its Applications
29 Communications in Mathematical Physics
28 The Annals of Statistics
28 The Ramanujan Journal
28 Journal of High Energy Physics
28 Integers
27 Mathematische Zeitschrift
27 Journal of Discrete Mathematical Sciences & Cryptography
26 Journal of Combinatorial Designs
25 Applied Mathematics and Computation
25 SIAM Journal on Algebraic and Discrete Methods
23 Journal of Combinatorial Theory. Series B
23 Journal of Symbolic Computation
23 Applied Mathematics Letters
23 Experimental Mathematics
23 Journal of Mathematical Sciences (New York)
23 Journal of Applied Mathematics and Computing
22 Computers & Mathematics with Applications
22 Mathematical Notes
22 Archiv der Mathematik
22 Séminaire Lotharingien de Combinatoire
22 Journal of Algebra, Combinatorics, Discrete Structures and Applications
21 Communications in Algebra
21 Journal of Mathematical Analysis and Applications
21 Information Sciences
21 Journal of Computational and Applied Mathematics
21 International Journal of Number Theory
20 Nuclear Physics. B
20 Bulletin of the American Mathematical Society. New Series
19 The Mathematical Intelligencer
19 Journal of Complexity
19 Journal of Difference Equations and Applications
18 Annales de l’Institut Fourier
18 Duke Mathematical Journal
18 Geometriae Dedicata
18 Inventiones Mathematicae
18 Combinatorica
18 Science China. Mathematics
17 Journal of Geometry
17 Information and Computation
17 Applied and Computational Harmonic Analysis
17 Journal of Systems Science and Complexity
15 Journal of the Franklin Institute
15 Journal of Approximation Theory
15 Proceedings of the Japan Academy. Series A
15 Journal of Cryptology
15 Journal of Physics A: Mathematical and Theoretical
14 Asian-European Journal of Mathematics
14 Prikladnaya Diskretnaya Matematika
13 Rocky Mountain Journal of Mathematics
13 International Journal of Computer Mathematics
13 Mathematics in Computer Science
13 Journal of Statistical Theory and Practice
12 Journal of Statistical Physics
12 Journal of Computer and System Sciences
12 Manuscripta Mathematica
12 Mathematische Annalen
12 Mathematika
12 Monatshefte für Mathematik
12 Discrete Mathematics and Applications
12 Journal of Global Optimization
12 Aequationes Mathematicae
12 European Journal of Operational Research
12 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
...and 489 more Serials
all top 5

Cited in 63 Fields

2,508 Information and communication theory, circuits (94-XX)
2,319 Combinatorics (05-XX)
1,786 Number theory (11-XX)
548 Computer science (68-XX)
447 Group theory and generalizations (20-XX)
427 Quantum theory (81-XX)
377 Convex and discrete geometry (52-XX)
304 Statistics (62-XX)
277 Geometry (51-XX)
273 Algebraic geometry (14-XX)
229 Linear and multilinear algebra; matrix theory (15-XX)
189 Numerical analysis (65-XX)
180 Operations research, mathematical programming (90-XX)
172 Order, lattices, ordered algebraic structures (06-XX)
140 Nonassociative rings and algebras (17-XX)
132 Probability theory and stochastic processes (60-XX)
128 Special functions (33-XX)
126 Commutative algebra (13-XX)
121 Associative rings and algebras (16-XX)
85 Harmonic analysis on Euclidean spaces (42-XX)
77 Biology and other natural sciences (92-XX)
76 Statistical mechanics, structure of matter (82-XX)
64 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
59 Manifolds and cell complexes (57-XX)
58 Approximations and expansions (41-XX)
52 Dynamical systems and ergodic theory (37-XX)
49 Field theory and polynomials (12-XX)
44 Functions of a complex variable (30-XX)
43 Differential geometry (53-XX)
40 Functional analysis (46-XX)
38 Category theory; homological algebra (18-XX)
36 Topological groups, Lie groups (22-XX)
29 Partial differential equations (35-XX)
26 Mathematical logic and foundations (03-XX)
26 Algebraic topology (55-XX)
25 Global analysis, analysis on manifolds (58-XX)
24 Difference and functional equations (39-XX)
23 Relativity and gravitational theory (83-XX)
23 Systems theory; control (93-XX)
22 Ordinary differential equations (34-XX)
21 Operator theory (47-XX)
20 General and overarching topics; collections (00-XX)
20 Measure and integration (28-XX)
20 Several complex variables and analytic spaces (32-XX)
18 Calculus of variations and optimal control; optimization (49-XX)
18 Mechanics of deformable solids (74-XX)
17 Integral transforms, operational calculus (44-XX)
16 Real functions (26-XX)
15 History and biography (01-XX)
14 Potential theory (31-XX)
13 General topology (54-XX)
13 Fluid mechanics (76-XX)
11 Sequences, series, summability (40-XX)
10 Mechanics of particles and systems (70-XX)
10 Mathematics education (97-XX)
8 General algebraic systems (08-XX)
8 Abstract harmonic analysis (43-XX)
8 Optics, electromagnetic theory (78-XX)
5 Integral equations (45-XX)
3 \(K\)-theory (19-XX)
2 Astronomy and astrophysics (85-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Geophysics (86-XX)

Citations by Year

Wikidata Timeline

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.