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Author ID: bannai.eiichi Recent zbMATH articles by "Bannai, Eiichi"
Published as: Bannai, Eiichi; Bannai, E.
External Links: MGP
all top 5

Co-Authors

49 single-authored
43 Bannai, Etsuko
13 Zhu, Yan
12 Ito, Tatsuro
9 Song, Sung-Yell
9 Tanaka, Hajime
7 Miezaki, Tsuyoshi
7 Zhao, Da
6 Munemasa, Akihiro
4 Oura, Manabu
4 Tagami, Makoto
4 Yu, Wei-Hsuan
3 Harada, Masaaki
3 Hoggar, Stuart G.
3 Ozeki, Michio
3 Shimabukuro, Osamu
3 Sloane, Neil James Alexander
3 Venkov, Boris B.
2 Bannai, Hideo
2 Ceccherini-Silberstein, Tullio G.
2 Conway, John Horton
2 Damerell, Robert Mark
2 Hao, Shen
2 Hirao, Masatake
2 Jaeger, François
2 Kim, Kyoung-tark
2 Koike, Masao
2 Kurihara, Hirotake
2 Lee, Chin-Yen
2 Leech, John
2 Nakasora, Hiroyuki
2 Norton, Simon Phillips
2 Odlyzko, Andrew M.
2 Okuda, Takayuki
2 Parker, Richard A.
2 Queen, Larissa
2 Sali, Attila
2 Sawa, Masanori
2 Scarabotti, Fabio
2 Shigezumi, Junichi
2 Solé, Patrick
2 Suda, Sho
2 Tolli, Filippo
2 Xiang, Ziqing
1 Abdukhalikov, Kanat S.
1 Bachoc, Christine
1 Blokhuis, Aart
1 Borcherds, Richard Ewen
1 Cameron, Peter Jephson
1 Coulangeon, Renaud
1 Delsarte, Philippe
1 Deza, Michel Marie
1 Dougherty, Steven T.
1 Frankl, Péter
1 Griess, Robert L. jun.
1 Haemers, Willem H.
1 Ibukiyama, Tomoyoshi
1 Ikuta, Takuya
1 Iwasaki, Shiro
1 Kahn, Jeff D.
1 Kawanaka, Noriaki
1 Kim, Ann Chi
1 Kojima, Koji
1 Kwok, Wing Man
1 Li, Zengti
1 Minashima, Shinri
1 Nakahara, Mikio
1 Nakata, Yoshifumi
1 Navarro, Gabriel
1 Pétermann, Yves-François S.
1 Praeger, Cheryl Elisabeth
1 Rizo, Noelia
1 Sato, Takahiro
1 Scott, Leonard L.
1 Seidel, Johan Jacob
1 Sekiguchi, Jiro
1 Shinohara, Masashi
1 Stanton, Dennis W.
1 Suprijanto, Djoko
1 Suzuki, Hiroshi
1 Takano, Kyoichi
1 Tanaka, Rie
1 Teranishi, Yasuo
1 Tiep Pham Huu
1 Wei, Hongzeng
1 Yamada, Hiromichi
1 Yamaki, Hiroyoshi
1 Yoshida, Tomoyuki
1 Yudin, Vladimir A.
1 Zhu, Lin
1 Zhu, Yinfeng
all top 5

Serials

17 European Journal of Combinatorics
8 Journal of Algebra
8 Journal of the Mathematical Society of Japan
8 Osaka Journal of Mathematics
8 Graphs and Combinatorics
7 Discrete Mathematics
7 Journal of Combinatorial Theory. Series A
6 Journal of the Faculty of Science. Section I A
5 Journal of Algebraic Combinatorics
4 Kyushu Journal of Mathematics
4 RIMS Kokyuroku
3 Hokkaido Mathematical Journal
3 Designs, Codes and Cryptography
2 Archiv der Mathematik
2 Journal of Combinatorial Theory. Series B
2 Journal of the London Mathematical Society. Second Series
2 Journal of Number Theory
2 Memoirs of the Faculty of Science. Series A. Mathematics
2 Proceedings of the Japan Academy. Series A
2 The Quarterly Journal of Mathematics. Oxford Second Series
2 Combinatorica
2 Sugaku Expositions
2 The Electronic Journal of Combinatorics
2 Journal of Applied Mathematics and Computing
2 Proceedings of the Japan Academy
2 Advanced Studies in Pure Mathematics
2 Grundlehren der Mathematischen Wissenschaften
2 Journal of Physics A: Mathematical and Theoretical
2 Journal of the Faculty of Science. Section I
1 Communications in Algebra
1 IEEE Transactions on Information Theory
1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
1 Advances in Mathematics
1 Annales de l’Institut Fourier
1 Ars Combinatoria
1 Canadian Journal of Mathematics
1 Funkcialaj Ekvacioj. Serio Internacia
1 Geometriae Dedicata
1 Journal of Approximation Theory
1 Journal of Combinatorics, Information & System Sciences
1 Michigan Mathematical Journal
1 Nagoya Mathematical Journal
1 Pacific Journal of Mathematics
1 Proceedings of the London Mathematical Society. Third Series
1 Sūgaku
1 Linear Algebra and its Applications
1 St. Petersburg Mathematical Journal
1 Izvestiya: Mathematics
1 Taiwanese Journal of Mathematics
1 Annals of Combinatorics
1 Moscow Mathematical Journal
1 Contributions to Discrete Mathematics
1 Lecture Notes in Mathematics
1 Proceedings of the Steklov Institute of Mathematics
1 Ars Mathematica Contemporanea
1 Japanese Journal of Mathematics. 3rd Series
1 Moscow Journal of Combinatorics and Number Theory
1 De Gruyter Series in Discrete Mathematics and Applications
1 Mathematics Lecture Note Series

Publications by Year

Citations contained in zbMATH Open

147 Publications have been cited 2,342 times in 1,527 Documents Cited by Year
Algebraic combinatorics. I: Association schemes. Zbl 0555.05019
Bannai, Eiichi; Ito, Tatsuro
914
1984
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.
590
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.
418
1988
A survey on spherical designs and algebraic combinatorics on spheres. Zbl 1207.05022
Bannai, Eiichi; Bannai, Etsuko
77
2009
On finite Moore graphs. Zbl 0275.05121
Bannai, Eiichi; Ito, Tatsuro
74
1973
Tight spherical designs. I. Zbl 0403.05022
Bannai, Eiichi; Damerell, Robert Mark
67
1979
Tight spherical designs. II. Zbl 0436.05018
Bannai, Eiichi; Damerell, Robert Mark
61
1980
Type II codes, even unimodular lattices, and invariant rings. Zbl 0958.94042
Bannai, Eiichi; Dougherty, Steven T.; Harada, Masaaki; Oura, Manabu
61
1999
Subschemes of some association schemes. Zbl 0762.20004
Bannai, Eiichi
42
1991
An upper bound for the cardinality of an s-distance subset in real Euclidean space. II. Zbl 0522.05022
Bannai, Eiichi; Bannai, Etsuko; Stanton, Dennis
37
1983
The nonexistence of certain tight spherical designs. Zbl 1072.05017
Bannai, E.; Munemasa, A.; Venkov, B.
31
2005
Generalized generalized spin models (four-weight spin models). Zbl 0848.05072
Bannai, Eiichi; Bannai, Etsuko
28
1995
Regular graphs with excess one. Zbl 0473.05036
Bannai, Eiichi; Ito, Tatsuro
24
1981
On Euclidean tight 4-designs. Zbl 1104.05016
Bannai, Eiichi; Bannai, Etsuko
22
2006
Codes and designs in Grassmannian spaces. Zbl 1040.05005
Bachoc, Christine; Bannai, Eiichi; Coulangeon, Renaud
22
2004
Type II codes over \(\mathbb F_2+ u\mathbb F_2\) and applications to Hermitian modular forms. Zbl 1048.11038
Bannai, Eiichi; Harada, Masaaki; Ibukiyama, Tomoyoshi; Munemasa, Akihiro; Oura, Manabu
22
2003
On spin models, modular invariance, and duality. Zbl 0880.05083
Bannai, Eiichi; Bannai, Etsuko; Jaeger, François
22
1997
Spin models on finite cyclic groups. Zbl 0803.05058
Bannai, Eiichi; Bannai, Etsuko
22
1994
The Terwilliger algebras of group association schemes. Zbl 0839.05095
Bannai, Eiichi; Munemasa, Akihiro
21
1995
Character tables of the association schemes of finite orthogonal groups acting on the nonisotropic points. Zbl 0762.20005
Bannai, Eiichi; Hao, Shen; Song, Sung-Yell
20
1990
Spherical designs of harmonic index \(t\). Zbl 1312.05030
Bannai, Eiichi; Okuda, Takayuki; Tagami, Makoto
19
2015
Association schemes and fusion algebras. (An introduction). Zbl 0790.05098
Bannai, Eiichi
19
1993
Current research on algebraic combinatorics. Supplements to our book, Algebraic combinatorics I. Zbl 0685.05030
Bannai, Eiichi; Ito, Tatsuro
19
1986
Maximal subgroups of low rank of finite symmetric and alternating groups. Zbl 0262.20003
Bannai, Eiichi
17
1972
The character table of the Hecke algebra \({\mathcal H}(GL_{2n}(\mathbb{F}_ q),Sp_{2n}(\mathbb{F}_ q))\). Zbl 0761.20013
Bannai, Eiichi; Kawanaka, Noriaki; Song, Sung-Yell
16
1990
Algebraic combinatorics. Translated from the Japanese. Originally published by Kyoritsu Shuppan (Kyoritsu Publisher), Tokyo 2016. Zbl 1472.05002
Bannai, Eiichi; Bannai, Etsuko; Ito, Tatsuro; Tanaka, Rie
16
2021
On distance-regular graphs with fixed valency. Zbl 0626.05050
Bannai, Eiichi; Ito, Tatsuro
16
1987
On tight t-designs in compact symmetric spaces of rank one. Zbl 0572.05018
Bannai, Eiichi; Hoggar, Stuart G.
16
1985
On tight designs. Zbl 0391.05005
Bannai, Eiichi
15
1977
Uniqueness of certain spherical codes. Zbl 0411.05028
Bannai, Eiichi; Sloane, N. J. A.
15
1981
Character tables of fission schemes and fusion schemes. Zbl 0794.05131
Bannai, Eiichi; Song, Sung Yell
15
1993
Remarks on the concepts of \(t\)-designs. Zbl 1296.05017
Bannai, Eiichi; Bannai, Etsuko
14
2012
Character tables of commutative association schemes. Zbl 0757.05100
Bannai, Eiichi
14
1990
On distance-regular graphs with fixed valency. II. Zbl 0699.05038
Bannai, Eiichi; Ito, Tatsuro
14
1988
On extremal finite sets in the sphere and other metric spaces. Zbl 0723.05113
Bannai, E.
14
1988
Spherical t-designs which are orbits of finite groups. Zbl 0545.05025
Bannai, Eiichi
14
1984
Association schemes related to universally optimal configurations, Kerdock codes and extremal Euclidean line-sets. Zbl 1250.05119
Abdukhalikov, Kanat; Bannai, Eiichi; Suda, Sho
13
2009
Finite analogues of non-Euclidean spaces and Ramanujan graphs. Zbl 1033.05099
Bannai, Eiichi; Shimabukuro, Osamu; Tanaka, Hajime
13
2004
Design theory from the viewpoint of algebraic combinatorics. Zbl 1365.05301
Bannai, Eiichi; Bannai, Etsuko; Tanaka, Hajime; Zhu, Yan
13
2017
On distance-regular graphs with fixed valency. IV. Zbl 0677.05061
Bannai, Eiichi; Ito, Tatsuro
12
1989
Cubature formulas in numerical analysis and Euclidean tight designs. Zbl 1227.05107
Bannai, Eiichi; Bannai, Etsuko; Hirao, Masatake; Sawa, Masanori
11
2010
Euclidean designs and coherent configurations. Zbl 1231.05019
Bannai, Eiichi; Bannai, Etsuko
11
2010
On relative \(t\)-designs in polynomial association schemes. Zbl 1329.05307
Bannai, Eiichi; Bannai, Etsuko; Suda, Sho; Tanaka, Hajime
11
2015
On distance-regular graphs with fixed valency. III. Zbl 0677.05060
Bannai, Eiichi; Ito, Tatsuro
11
1987
Construction of Jacobi forms from certain combinatorial polynomials. Zbl 0860.11026
Bannai, Eiichi; Ozeki, Michio
10
1996
Tight t-designs and squarefree integers. Zbl 0713.05009
Bannai, E.; Hoggar, S. G.
10
1989
On antipodal spherical \(t\)-designs of degree \(s\) with \(t\geq 2s-3\). Zbl 1270.05017
Bannai, Eiichi; Bannai, Etsuko
10
2009
How many P-polynomial structures can an association scheme have? Zbl 0458.94047
Bannai, Eiichi; Bannai, Etsuko
10
1980
A global study of Jordan-Pochhammer differential equations. Zbl 0349.34009
Takano, Kyoichi; Bannai, Eiichi
9
1976
On perfect codes in the Hamming schemes H(n,q) with q arbitrary. Zbl 0356.94008
Bannai, Eiichi
9
1977
Finite Euclidean graphs and Ramanujan graphs. Zbl 1208.05046
Bannai, Eiichi; Shimabukuro, Osamu; Tanaka, Hajime
9
2009
Spherical designs attached to extremal lattices and the modulo \(p\) property of Fourier coefficients of extremal modular forms. Zbl 1121.11046
Bannai, Eiichi; Koike, Masao; Shinohara, Masashi; Tagami, Makoto
9
2006
The character tables of Paige’s simple Moufang loops and their relationship to the character tables of PSL(2,q). Zbl 0682.20050
Bannai, Eiichi; Song, Sung-Yell
9
1989
Tight Gaussian 4-designs. Zbl 1069.05016
Bannai, Eiichi; Bannai, Etsuko
9
2005
Spherical designs and Euclidean designs. Zbl 1209.05266
Bannai, Eiichi; Bannai, Etsuko
8
2009
Tight relative 2- and 4-designs on binary Hamming association schemes. Zbl 1295.05275
Li, Zengti; Bannai, Eiichi; Bannai, Etsuko
8
2014
Tight relative 2-designs on two shells in Johnson association schemes. Zbl 1327.05347
Zhu, Yan; Bannai, Eiichi; Bannai, Etsuko
8
2016
On the existence of tight relative 2-designs on binary Hamming association schemes. Zbl 1277.05031
Bannai, Eiichi; Bannai, Etsuko; Bannai, Hideo
8
2014
On some spherical t-designs. Zbl 0464.05016
Bannai, Eiichi
8
1979
A note on the spherical embeddings of strongly regular graphs. Zbl 1071.05074
Bannai, Eiichi; Bannai, Etsuko
8
2005
Automorphisms of irreducible Weyl groups. Zbl 0196.05005
Bannai, E.
7
1969
Toy models for D. H. Lehmer’s conjecture. Zbl 1216.11048
Bannai, Eiichi; Miezaki, Tsuyoshi
7
2010
Relative \(t\)-designs in binary Hamming association scheme \(H(n,2)\). Zbl 1367.05027
Bannai, Eiichi; Bannai, Etsuko; Zhu, Yan
7
2017
On the strong non-rigidity of certain tight Euclidean designs. Zbl 1123.05024
Bannai, Eiichi; Bannai, Etsuko; Suprijanto, Djoko
7
2007
An upper bound for the cardinality of an s-distance subset in real euclidean space. Zbl 0491.05024
Bannai, Eiichi; Bannai, Etsuko
7
1981
Generalized spin models and association schemes. Zbl 0797.05082
Bannai, Eiichi; Bannai, Etsuko
7
1993
Classification of small spin models. Zbl 0823.05065
Bannai, Eiichi; Jaeger, François; Sali, Attila
7
1994
On spherical designs of some harmonic indices. Zbl 1361.05023
Zhu, Yan; Bannai, Eiichi; Bannai, Etsuko; Kim, Kyoung-Tark; Yu, Wei-Hsuan
7
2017
On primitive symmetric association schemes with \(m_1=3\). Zbl 1093.05073
Bannai, Eiichi; Bannai, Etsuko
6
2006
Codes in bipartite distance-regular graphs. Zbl 0365.94015
Bannai, Eiichi
6
1977
Doubly transitive permutation representations of the finite projective special linear groups PSL(n,q). Zbl 0253.20007
Bannai, Eiichi
6
1971
Character tables of certain association schemes coming from finite unitary and symplectic groups. Zbl 0824.20009
Bannai, Eiichi; Song, Sung-Yell; Hao, Shen; Wei, Hongzeng
6
1991
Unitary \(t\)-groups. Zbl 1485.20016
Bannai, Eiichi; Navarro, Gabriel; Rizo, Noelia; Tiep, Pham Huu
6
2020
Some results on modular forms – subgroups of the modular group whose ring of modular forms is a polynomial ring. Zbl 1029.11012
Bannai, Eiichi; Koike, Masao; Munemasa, Akihiro; Sekiguchi, Jiro
6
2001
The decomposition of the permutation character \(1^{\text{GL}(2n,q)}_{\text{GL}(n,q^2)}\). Zbl 1031.20040
Bannai, Eiichi; Tanaka, Hajime
6
2003
The study of distance-regular graphs from the algebraic (i.e., character theoretical) viewpoint. Zbl 0677.05059
Bannai, Eiichi; Ito, Tatsuro
6
1987
Orthogonal polynomials in coding theory and algebraic combinatorics. Zbl 0704.42025
Bannai, Eiichi
6
1990
Rigid spherical t-designs and a theorem of Y. Hong. Zbl 0718.05016
Bannai, Eiichi
6
1987
Uniqueness of certain association schemes. Zbl 1200.05258
Bannai, Eiichi; Bannai, Etsuko; Bannai, Hideo
5
2008
On optimal tight 4-designs on 2 concentric spheres. Zbl 1083.62067
Bannai, Eiichi; Bannai, Etsuko
5
2006
On tight spherical designs. Zbl 0425.05015
Bannai, Eiichi
5
1979
On the spectra of certain distance-regular graphs. Zbl 0427.15005
Bannai, Eiichi; Ito, Tatsuro
5
1979
On rank 3 groups with a multiply transitive constituent. Zbl 0241.20003
Bannai, Eiichi
5
1972
Toy models for D. H. Lehmer’s conjecture. II. Zbl 1310.11052
Bannai, Eiichi; Miezaki, Tsuyoshi
5
2013
An elementary approach to toy models for D. H. Lehmer’s conjecture. Zbl 1293.11067
Bannai, Eiichi; Miezaki, Tsuyoshi; Yudin, Vladimir A.
5
2011
Nonexistence of certain distance-transitive digraphs. Zbl 0468.05035
Bannai, Eiichi; Cameron, Peter J.; Kahn, Jeff
5
1981
On some subgroups of the group Sp(2n,2). Zbl 0261.20035
Bannai, Eiichi
4
1971
A note on characters of normal subgroups of multiply transitive permutation groups. Zbl 0285.20015
Bannai, Eiichi
4
1973
Tight \(t\)-designs on two concentric spheres. Zbl 1314.05230
Bannai, Eiichi; Bannai, Etsuko
4
2014
A survey on tight Euclidean \(t\)-designs and tight relative \(t\)-designs in certain association schemes. Zbl 1319.05025
Bannai, Eiichi; Bannai, Etsuko; Zhu, Yan
4
2015
The character table of the commutative association scheme coming from the action of \(GL(n,q)\) on non-incident point-hyperplane pairs. Zbl 0762.20003
Bannai, Eiichi; Song, Sung-Yell
4
1990
An introduction to association schemes. Zbl 0967.05068
Bannai, Eiichi
4
1999
Thoughts on modular forms. Zbl 0957.11500
Bannai, Eiichi
4
1999
On a property of 2-dimensional integral Euclidean lattices. Zbl 1236.11059
Bannai, Eiichi; Miezaki, Tsuyoshi
4
2012
Modular invariance of the character table of the Hamming association scheme \(H(d,q)\). Zbl 0799.05068
Bannai, Eiichi; Bannai, Etsuko
4
1994
Modular invariance property of association schemes, type II codes over finite rings and finite abelian groups and reminiscences of François Jaeger (a survey). Zbl 0917.05086
Bannai, Eiichi
4
1999
Harmonic index designs in binary Hamming schemes. Zbl 1387.05035
Zhu, Yan; Bannai, Eiichi; Bannai, Etsuko; Ikuta, Takuya; Kim, Kyoung-Tark
3
2017
The mathematics of Donald Gordon Higman. Zbl 1165.01309
Bannai, Eiichi; Griess, Robert L. jun.; Praeger, Cheryl E.; Scott, Leonard
3
2009
Latest topics in algebraic combinatorics and association schemes. Zbl 0794.05130
Bannai, Eiichi
3
1993
On the ring of simultaneous invariants for the Gleason-MacWilliams group. Zbl 0944.15022
Bannai, Eiichi; Bannai, Etsuko; Ozeki, Michio; Teranishi, Yasuo
3
1999
A note on the Assmus-Mattson theorem for some binary codes. II. Zbl 07698623
Bannai, Eiichi; Miezaki, Tsuyoshi; Nakasora, Hiroyuki
3
2023
Tight relative \(t\)-designs on two shells in hypercubes, and Hahn and Hermite polynomials. Zbl 1518.05029
Bannai, Eiichi; Bannai, Etsuko; Tanaka, Hajime; Zhu, Yan
3
2022
Algebraic combinatorics. Translated from the Japanese. Originally published by Kyoritsu Shuppan (Kyoritsu Publisher), Tokyo 2016. Zbl 1472.05002
Bannai, Eiichi; Bannai, Etsuko; Ito, Tatsuro; Tanaka, Rie
16
2021
The complex conjugate invariants of Clifford groups. Zbl 1458.15040
Bannai, Eiichi; Oura, Manabu; Zhao, Da
1
2021
Classification of spherical 2-distance \(\{4,2,1\}\)-designs by solving Diophantine equations. Zbl 1475.05021
Bannai, Eiichi; Bannai, Etsuko; Xiang, Ziqing; Yu, Wei-Hsuan; Zhu, Yan
1
2021
Unitary \(t\)-groups. Zbl 1485.20016
Bannai, Eiichi; Navarro, Gabriel; Rizo, Noelia; Tiep, Pham Huu
6
2020
Spherical embeddings of symmetric association schemes in 3-dimensional Euclidean space. Zbl 1436.05139
Bannai, Eiichi; Zhao, Da
1
2020
Gelfand triples and their Hecke algebras. Harmonic analysis for multiplicity-free induced representations of finite groups. With a foreword by Eiichi Bannai. Zbl 1479.20002
Ceccherini-Silberstein, Tullio; Scarabotti, Fabio; Tolli, Filippo
1
2020
Tight \(t\)-designs on one shell of Johnson association schemes. Zbl 1415.05183
Bannai, Eiichi; Zhu, Yan
2
2019
On the explicit constructions of certain unitary \(t\)-designs. Zbl 1509.81147
Bannai, Eiichi; Nakahara, Mikio; Zhao, Da; Zhu, Yan
2
2019
Half of an antipodal spherical design. Zbl 1386.05022
Bannai, Eiichi; Zhao, Da; Zhu, Lin; Zhu, Yan; Zhu, Yinfeng
3
2018
Design theory from the viewpoint of algebraic combinatorics. Zbl 1365.05301
Bannai, Eiichi; Bannai, Etsuko; Tanaka, Hajime; Zhu, Yan
13
2017
Relative \(t\)-designs in binary Hamming association scheme \(H(n,2)\). Zbl 1367.05027
Bannai, Eiichi; Bannai, Etsuko; Zhu, Yan
7
2017
On spherical designs of some harmonic indices. Zbl 1361.05023
Zhu, Yan; Bannai, Eiichi; Bannai, Etsuko; Kim, Kyoung-Tark; Yu, Wei-Hsuan
7
2017
Harmonic index designs in binary Hamming schemes. Zbl 1387.05035
Zhu, Yan; Bannai, Eiichi; Bannai, Etsuko; Ikuta, Takuya; Kim, Kyoung-Tark
3
2017
Tight relative 2-designs on two shells in Johnson association schemes. Zbl 1327.05347
Zhu, Yan; Bannai, Eiichi; Bannai, Etsuko
8
2016
Spherical designs of harmonic index \(t\). Zbl 1312.05030
Bannai, Eiichi; Okuda, Takayuki; Tagami, Makoto
19
2015
On relative \(t\)-designs in polynomial association schemes. Zbl 1329.05307
Bannai, Eiichi; Bannai, Etsuko; Suda, Sho; Tanaka, Hajime
11
2015
A survey on tight Euclidean \(t\)-designs and tight relative \(t\)-designs in certain association schemes. Zbl 1319.05025
Bannai, Eiichi; Bannai, Etsuko; Zhu, Yan
4
2015
Appendix: On some Gelfand pairs and commutative association schemes. Zbl 1346.20004
Bannai, Eiichi; Tanaka, Hajime
1
2015
Tight relative 2- and 4-designs on binary Hamming association schemes. Zbl 1295.05275
Li, Zengti; Bannai, Eiichi; Bannai, Etsuko
8
2014
On the existence of tight relative 2-designs on binary Hamming association schemes. Zbl 1277.05031
Bannai, Eiichi; Bannai, Etsuko; Bannai, Hideo
8
2014
Tight \(t\)-designs on two concentric spheres. Zbl 1314.05230
Bannai, Eiichi; Bannai, Etsuko
4
2014
Toy models for D. H. Lehmer’s conjecture. II. Zbl 1310.11052
Bannai, Eiichi; Miezaki, Tsuyoshi
5
2013
Combinatorics as pure mathematics – aims of algebraic combinatorics. Zbl 1388.05002
Bannai, Eiichi
1
2013
Remarks on the concepts of \(t\)-designs. Zbl 1296.05017
Bannai, Eiichi; Bannai, Etsuko
14
2012
On a property of 2-dimensional integral Euclidean lattices. Zbl 1236.11059
Bannai, Eiichi; Miezaki, Tsuyoshi
4
2012
Maximal \(m\)-distance sets containing the representation of the Johnson graph \(J(n,m)\). Zbl 1252.05150
Bannai, Eiichi; Sato, Takahiro; Shigezumi, Junichi
3
2012
A new Euclidean tight 6-design. Zbl 1256.05034
Bannai, Eiichi; Bannai, Etsuko; Shigezumi, Junichi
2
2012
On the existence of minimum cubature formulas for Gaussian measure on \(\mathbb R^{2}\) of degree \(t\) supported by \([\frac{t}{4}]+1\) circles. Zbl 1235.05027
Bannai, Eiichi; Bannai, Etsuko; Hirao, Masatake; Sawa, Masanori
1
2012
An elementary approach to toy models for D. H. Lehmer’s conjecture. Zbl 1293.11067
Bannai, Eiichi; Miezaki, Tsuyoshi; Yudin, Vladimir A.
5
2011
A note on anticoherent spin states. Zbl 1225.81072
Bannai, Eiichi; Tagami, Makoto
2
2011
Tight 9-designs on two concentric spheres. Zbl 1235.05026
Bannai, Eiichi; Bannai, Etsuko
2
2011
Cubature formulas in numerical analysis and Euclidean tight designs. Zbl 1227.05107
Bannai, Eiichi; Bannai, Etsuko; Hirao, Masatake; Sawa, Masanori
11
2010
Euclidean designs and coherent configurations. Zbl 1231.05019
Bannai, Eiichi; Bannai, Etsuko
11
2010
Toy models for D. H. Lehmer’s conjecture. Zbl 1216.11048
Bannai, Eiichi; Miezaki, Tsuyoshi
7
2010
A survey on spherical designs and algebraic combinatorics on spheres. Zbl 1207.05022
Bannai, Eiichi; Bannai, Etsuko
77
2009
Association schemes related to universally optimal configurations, Kerdock codes and extremal Euclidean line-sets. Zbl 1250.05119
Abdukhalikov, Kanat; Bannai, Eiichi; Suda, Sho
13
2009
On antipodal spherical \(t\)-designs of degree \(s\) with \(t\geq 2s-3\). Zbl 1270.05017
Bannai, Eiichi; Bannai, Etsuko
10
2009
Finite Euclidean graphs and Ramanujan graphs. Zbl 1208.05046
Bannai, Eiichi; Shimabukuro, Osamu; Tanaka, Hajime
9
2009
Spherical designs and Euclidean designs. Zbl 1209.05266
Bannai, Eiichi; Bannai, Etsuko
8
2009
The mathematics of Donald Gordon Higman. Zbl 1165.01309
Bannai, Eiichi; Griess, Robert L. jun.; Praeger, Cheryl E.; Scott, Leonard
3
2009
Uniqueness of certain association schemes. Zbl 1200.05258
Bannai, Eiichi; Bannai, Etsuko; Bannai, Hideo
5
2008
On the zeros of Hecke-type Faber polynomials. Zbl 1190.11030
Bannai, Eiichi; Kojima, Koji; Miezaki, Tsuyoshi
1
2008
On the strong non-rigidity of certain tight Euclidean designs. Zbl 1123.05024
Bannai, Eiichi; Bannai, Etsuko; Suprijanto, Djoko
7
2007
On Euclidean tight 4-designs. Zbl 1104.05016
Bannai, Eiichi; Bannai, Etsuko
22
2006
Spherical designs attached to extremal lattices and the modulo \(p\) property of Fourier coefficients of extremal modular forms. Zbl 1121.11046
Bannai, Eiichi; Koike, Masao; Shinohara, Masashi; Tagami, Makoto
9
2006
On primitive symmetric association schemes with \(m_1=3\). Zbl 1093.05073
Bannai, Eiichi; Bannai, Etsuko
6
2006
On optimal tight 4-designs on 2 concentric spheres. Zbl 1083.62067
Bannai, Eiichi; Bannai, Etsuko
5
2006
The nonexistence of certain tight spherical designs. Zbl 1072.05017
Bannai, E.; Munemasa, A.; Venkov, B.
31
2005
Tight Gaussian 4-designs. Zbl 1069.05016
Bannai, Eiichi; Bannai, Etsuko
9
2005
A note on the spherical embeddings of strongly regular graphs. Zbl 1071.05074
Bannai, Eiichi; Bannai, Etsuko
8
2005
Codes and designs in Grassmannian spaces. Zbl 1040.05005
Bachoc, Christine; Bannai, Eiichi; Coulangeon, Renaud
22
2004
Finite analogues of non-Euclidean spaces and Ramanujan graphs. Zbl 1033.05099
Bannai, Eiichi; Shimabukuro, Osamu; Tanaka, Hajime
13
2004
Type II codes over \(\mathbb F_2+ u\mathbb F_2\) and applications to Hermitian modular forms. Zbl 1048.11038
Bannai, Eiichi; Harada, Masaaki; Ibukiyama, Tomoyoshi; Munemasa, Akihiro; Oura, Manabu
22
2003
The decomposition of the permutation character \(1^{\text{GL}(2n,q)}_{\text{GL}(n,q^2)}\). Zbl 1031.20040
Bannai, Eiichi; Tanaka, Hajime
6
2003
Some results on modular forms – subgroups of the modular group whose ring of modular forms is a polynomial ring. Zbl 1029.11012
Bannai, Eiichi; Koike, Masao; Munemasa, Akihiro; Sekiguchi, Jiro
6
2001
Modular invariants of the modular data of finite groups. Zbl 0991.05510
Bannai, Eiichi; Bannai, Etsuko; Shimabukuro, Osamu; Tagami, Makoto
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.
590
1999
Type II codes, even unimodular lattices, and invariant rings. Zbl 0958.94042
Bannai, Eiichi; Dougherty, Steven T.; Harada, Masaaki; Oura, Manabu
61
1999
An introduction to association schemes. Zbl 0967.05068
Bannai, Eiichi
4
1999
Thoughts on modular forms. Zbl 0957.11500
Bannai, Eiichi
4
1999
Modular invariance property of association schemes, type II codes over finite rings and finite abelian groups and reminiscences of François Jaeger (a survey). Zbl 0917.05086
Bannai, Eiichi
4
1999
On the ring of simultaneous invariants for the Gleason-MacWilliams group. Zbl 0944.15022
Bannai, Eiichi; Bannai, Etsuko; Ozeki, Michio; Teranishi, Yasuo
3
1999
Type II codes over \({\mathbb{F}}_2+u{\mathbb{F}}_2\) and an application to Hermitian modular forms. Zbl 0957.11501
Bannai, Eiichi; Harada, Masaaki; Munemasa, Akihiro; Oura, Manabu
1
1999
On spin models, modular invariance, and duality. Zbl 0880.05083
Bannai, Eiichi; Bannai, Etsuko; Jaeger, François
22
1997
On association schemes of balanced property with \(m_1=4\). Zbl 0935.05095
Bannai, Eiichi; Sali, Attila
1
1997
Construction of Jacobi forms from certain combinatorial polynomials. Zbl 0860.11026
Bannai, Eiichi; Ozeki, Michio
10
1996
On Jacobi forms of weight 4. Zbl 0896.11018
Bannai, Eiichi; Minashima, Shinri; Ozeki, Michio
2
1996
Progress in algebraic combinatorics. Based on the international symposium on algebraic combinatorics, Fukuoka, Japan, 1993 and the research project on algebraic combinatorics, Kyoto, Japan, April 1994 – March 1995. Zbl 0845.00006
2
1996
Generalized generalized spin models (four-weight spin models). Zbl 0848.05072
Bannai, Eiichi; Bannai, Etsuko
28
1995
The Terwilliger algebras of group association schemes. Zbl 0839.05095
Bannai, Eiichi; Munemasa, Akihiro
21
1995
Spin models on finite cyclic groups. Zbl 0803.05058
Bannai, Eiichi; Bannai, Etsuko
22
1994
Classification of small spin models. Zbl 0823.05065
Bannai, Eiichi; Jaeger, François; Sali, Attila
7
1994
Modular invariance of the character table of the Hamming association scheme \(H(d,q)\). Zbl 0799.05068
Bannai, Eiichi; Bannai, Etsuko
4
1994
Association schemes and fusion algebras. (An introduction). Zbl 0790.05098
Bannai, Eiichi
19
1993
Character tables of fission schemes and fusion schemes. Zbl 0794.05131
Bannai, Eiichi; Song, Sung Yell
15
1993
Generalized spin models and association schemes. Zbl 0797.05082
Bannai, Eiichi; Bannai, Etsuko
7
1993
Latest topics in algebraic combinatorics and association schemes. Zbl 0794.05130
Bannai, Eiichi
3
1993
On a theorem of Ikuta, Ito and Munemasa. Zbl 0753.05080
Bannai, Eiichi
1
1992
Subschemes of some association schemes. Zbl 0762.20004
Bannai, Eiichi
42
1991
Character tables of certain association schemes coming from finite unitary and symplectic groups. Zbl 0824.20009
Bannai, Eiichi; Song, Sung-Yell; Hao, Shen; Wei, Hongzeng
6
1991
Character tables of the association schemes of finite orthogonal groups acting on the nonisotropic points. Zbl 0762.20005
Bannai, Eiichi; Hao, Shen; Song, Sung-Yell
20
1990
The character table of the Hecke algebra \({\mathcal H}(GL_{2n}(\mathbb{F}_ q),Sp_{2n}(\mathbb{F}_ q))\). Zbl 0761.20013
Bannai, Eiichi; Kawanaka, Noriaki; Song, Sung-Yell
16
1990
Character tables of commutative association schemes. Zbl 0757.05100
Bannai, Eiichi
14
1990
Orthogonal polynomials in coding theory and algebraic combinatorics. Zbl 0704.42025
Bannai, Eiichi
6
1990
The character table of the commutative association scheme coming from the action of \(GL(n,q)\) on non-incident point-hyperplane pairs. Zbl 0762.20003
Bannai, Eiichi; Song, Sung-Yell
4
1990
Ennola type dualities in the character tables of some association schemes. Zbl 0808.20011
Bannai, Eiichi; Kwok, Wing Man; Song, Sung Yell
2
1990
On distance-regular graphs with fixed valency. IV. Zbl 0677.05061
Bannai, Eiichi; Ito, Tatsuro
12
1989
Tight t-designs and squarefree integers. Zbl 0713.05009
Bannai, E.; Hoggar, S. G.
10
1989
The character tables of Paige’s simple Moufang loops and their relationship to the character tables of PSL(2,q). Zbl 0682.20050
Bannai, Eiichi; Song, Sung-Yell
9
1989
On the number of elements which are not \(n\)-th powers in finite groups. Zbl 0684.20016
Bannai, E.; Deza, M.; Frankl, P.; Kim, A. C.; Kiyota, M.
2
1989
On the character table of the association scheme \(Sp(4,q)/Sz(q)\). Zbl 0762.20002
Bannai, Eiichi; Song, Sung-Yell
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.
418
1988
On distance-regular graphs with fixed valency. II. Zbl 0699.05038
Bannai, Eiichi; Ito, Tatsuro
14
1988
On extremal finite sets in the sphere and other metric spaces. Zbl 0723.05113
Bannai, E.
14
1988
On distance-regular graphs with fixed valency. Zbl 0626.05050
Bannai, Eiichi; Ito, Tatsuro
16
1987
On distance-regular graphs with fixed valency. III. Zbl 0677.05060
Bannai, Eiichi; Ito, Tatsuro
11
1987
The study of distance-regular graphs from the algebraic (i.e., character theoretical) viewpoint. Zbl 0677.05059
Bannai, Eiichi; Ito, Tatsuro
6
1987
Rigid spherical t-designs and a theorem of Y. Hong. Zbl 0718.05016
Bannai, Eiichi
6
1987
...and 47 more Documents
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Cited by 1,201 Authors

70 Bannai, Eiichi
63 Terwilliger, Paul M.
37 Vinet, Luc
32 Bannai, Etsuko
30 Nomura, Kazumasa
29 Muzychuk, Mikhail E.
29 Suda, Sho
28 Koolen, Jack H.
28 Wang, Kaishun
28 Xu, Bangteng
24 Ito, Tatsuro
24 Munemasa, Akihiro
23 Nozaki, Hiroshi
22 Hirasaka, Mitsugu
22 Tanaka, Hajime
21 Gao, Suogang
21 Guo, Jun
21 Zhedanov, Alexei S.
20 Hanaki, Akihide
20 Ponomarenko, Ilya Nikolaevich
20 Solé, Patrick
19 Hiraki, Akira
17 Miezaki, Tsuyoshi
17 Miklavič, Štefko
16 Suzuki, Hiroshi
16 Zhu, Yan
15 MacLean, Mark S.
14 Curtin, Brian
14 Hou, Bo
14 Li, Fenggao
14 Song, Sung-Yell
13 Kharaghani, Hadi
13 Sawa, Masanori
13 Yu, Wei-Hsuan
12 Blau, Harvey I.
12 Boĭvalenkov, Pet”r Georgiev
12 Crampé, Nicolas
11 Dinh, Hai Quang
11 Dougherty, Steven T.
11 Harada, Masaaki
11 Ivanov, Alexander A.
11 Ma, Jianmin
11 Martin, William J.
11 Miller, Mirka
10 Hirao, Masatake
10 Ikuta, Takuya
10 Klin, Mikhail H.
10 Praeger, Cheryl Elisabeth
10 Smith, Jonathan Dallas Hayden
10 Weng, Chih-Wen
9 Balbuena, Camino
9 Oura, Manabu
9 Tsujimoto, Satoshi
8 Choie, YoungJu
8 Evdokimov, Sergeĭ Alekseevich
8 Gavrilyuk, Alexander L.
8 Genest, Vincent X.
8 Godsil, Christopher David
8 Gräf, Manuel
8 Johnson, Kenneth W.
8 Lee, Jaeho
8 Momihara, Koji
8 Okuda, Takayuki
8 Shimabukuro, Osamu
8 Zhao, Da
7 Arad, Zvi
7 Araujo-Pardo, Gabriela
7 Bachoc, Christine
7 Bamberg, John
7 Bang, Sejeong
7 Caughman, John S. IV
7 Ehler, Martin
7 Feng, Tao
7 Fiol, Miquel Angel
7 Mixon, Dustin G.
7 Penjic, Safet
7 Shinohara, Masashi
7 Van Dam, Edwin Robert
7 Wang, Yangxian
7 Zuber, Jean-Bernard
6 Ankur, Raghav
6 Bernard, Pierre-Antoine
6 Cameron, Peter Jephson
6 Cioabă, Sebastian M.
6 Herman, Allen
6 Jasper, John Sahayam
6 Kurihara, Hirotake
6 Lee, Yoonjin
6 Lv, Benjian
6 Moulton, Vincent L.
6 Pascasio, Arlene A.
6 Pasechnik, Dmitrii V.
6 Sriboonchitta, Songsak
6 Stanton, Dennis W.
6 Stoyanova, Maya M.
6 Tan, Yingying
6 Woldar, Andrew J.
6 Yang, Yuefeng
5 Brouwer, Andries Evert
5 Gao, You
...and 1,101 more Authors
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Cited in 223 Serials

151 European Journal of Combinatorics
122 Discrete Mathematics
106 Journal of Algebraic Combinatorics
98 Linear Algebra and its Applications
88 Journal of Combinatorial Theory. Series A
71 Graphs and Combinatorics
67 Journal of Algebra
54 Designs, Codes and Cryptography
42 Journal of Combinatorial Theory. Series B
30 The Electronic Journal of Combinatorics
29 Finite Fields and their Applications
26 Communications in Algebra
22 Discrete Applied Mathematics
18 Transactions of the American Mathematical Society
15 Archiv der Mathematik
14 Combinatorica
14 Journal of Combinatorial Designs
14 Journal of Algebra and its Applications
14 Algebraic Combinatorics
13 Journal of Mathematical Physics
13 Journal of Statistical Planning and Inference
12 Nuclear Physics. B
12 Proceedings of the American Mathematical Society
12 Journal of Mathematical Sciences (New York)
11 Ars Mathematica Contemporanea
10 Advances in Mathematics
9 Journal of Physics A: Mathematical and Theoretical
8 Journal of Approximation Theory
8 Discrete & Computational Geometry
8 SIAM Journal on Discrete Mathematics
7 Communications in Mathematical Physics
7 Letters in Mathematical Physics
7 Journal of Graph Theory
7 Journal of Pure and Applied Algebra
7 St. Petersburg Mathematical Journal
7 The Ramanujan Journal
7 Annals of Combinatorics
6 Linear and Multilinear Algebra
6 Annales de l’Institut Fourier
6 Journal of Computational and Applied Mathematics
6 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
5 Israel Journal of Mathematics
5 Mathematics of Computation
5 Journal of the Mathematical Society of Japan
5 Mathematische Zeitschrift
5 Acta Mathematicae Applicatae Sinica. English Series
5 Indagationes Mathematicae. New Series
5 Applicable Algebra in Engineering, Communication and Computing
5 Journal of Applied Mathematics and Computing
5 Advances in Mathematics of Communications
4 Mathematical Proceedings of the Cambridge Philosophical Society
4 Functional Analysis and its Applications
4 Geometriae Dedicata
4 Journal of Number Theory
4 Results in Mathematics
4 Acta Applicandae Mathematicae
4 Journal of Symbolic Computation
4 Applied and Computational Harmonic Analysis
4 Transformation Groups
4 Proceedings of the Japan Academy
4 Proceedings of the Steklov Institute of Mathematics
3 Mathematica Slovaca
3 Michigan Mathematical Journal
3 Networks
3 Journal of Complexity
3 Constructive Approximation
3 Expositiones Mathematicae
3 ELA. The Electronic Journal of Linear Algebra
3 Séminaire Lotharingien de Combinatoire
3 Infinite Dimensional Analysis, Quantum Probability and Related Topics
3 Interdisciplinary Information Sciences (IIS)
3 Algebra and Discrete Mathematics
3 Sibirskie Èlektronnye Matematicheskie Izvestiya
3 Asian-European Journal of Mathematics
3 Discrete Mathematics, Algorithms and Applications
3 Science China. Mathematics
2 Journal of Mathematical Analysis and Applications
2 Mathematical Notes
2 Problems of Information Transmission
2 Rocky Mountain Journal of Mathematics
2 Beiträge zur Algebra und Geometrie
2 Applied Mathematics and Computation
2 Bulletin of the London Mathematical Society
2 Duke Mathematical Journal
2 International Journal of Mathematics and Mathematical Sciences
2 Journal of Geometry
2 Journal of the Korean Mathematical Society
2 Journal of the London Mathematical Society. Second Series
2 Numerische Mathematik
2 Osaka Journal of Mathematics
2 Proceedings of the Japan Academy. Series A
2 Theoretical Computer Science
2 Bulletin of the Iranian Mathematical Society
2 Physica D
2 Journal of Theoretical Probability
2 Journal of the American Mathematical Society
2 Forum Mathematicum
2 Science in China. Series A
2 Chinese Science Bulletin
2 SIAM Journal on Optimization
...and 123 more Serials
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Cited in 54 Fields

1,096 Combinatorics (05-XX)
260 Group theory and generalizations (20-XX)
190 Information and communication theory, circuits (94-XX)
124 Number theory (11-XX)
107 Special functions (33-XX)
95 Geometry (51-XX)
94 Linear and multilinear algebra; matrix theory (15-XX)
67 Quantum theory (81-XX)
60 Associative rings and algebras (16-XX)
56 Nonassociative rings and algebras (17-XX)
52 Convex and discrete geometry (52-XX)
48 Numerical analysis (65-XX)
45 Harmonic analysis on Euclidean spaces (42-XX)
39 Operations research, mathematical programming (90-XX)
32 Computer science (68-XX)
27 Approximations and expansions (41-XX)
24 Statistics (62-XX)
22 Commutative algebra (13-XX)
21 Abstract harmonic analysis (43-XX)
20 Algebraic geometry (14-XX)
19 Probability theory and stochastic processes (60-XX)
16 Functional analysis (46-XX)
16 Statistical mechanics, structure of matter (82-XX)
13 Order, lattices, ordered algebraic structures (06-XX)
13 Topological groups, Lie groups (22-XX)
12 Field theory and polynomials (12-XX)
12 Manifolds and cell complexes (57-XX)
7 Partial differential equations (35-XX)
6 Category theory; homological algebra (18-XX)
6 Operator theory (47-XX)
5 History and biography (01-XX)
5 Mathematical logic and foundations (03-XX)
4 Potential theory (31-XX)
4 Dynamical systems and ergodic theory (37-XX)
4 Differential geometry (53-XX)
3 \(K\)-theory (19-XX)
3 Several complex variables and analytic spaces (32-XX)
3 Difference and functional equations (39-XX)
3 Global analysis, analysis on manifolds (58-XX)
3 Mechanics of particles and systems (70-XX)
3 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 General and overarching topics; collections (00-XX)
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2 Integral transforms, operational calculus (44-XX)
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