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## Bannai, Eiichi

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 Author ID: bannai.eiichi Published as: Bannai, Eiichi; Bannai, E. External Links: MGP
 Documents Indexed: 155 Publications since 1969, including 4 Books
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#### Co-Authors

 49 single-authored 39 Bannai, Etsuko 12 Ito, Tatsuro 9 Song, Sung-Yell 8 Zhu, Yan 6 Munemasa, Akihiro 6 Tanaka, Hajime 5 Miezaki, Tsuyoshi 4 Oura, Manabu 4 Tagami, Makoto 3 Harada, Masaaki 3 Hoggar, Stuart G. 3 Ozeki, Michio 3 Shimabukuro, Osamu 3 Zhao, Da 2 Bannai, Hideo 2 Damerell, Robert Mark 2 Hao, Shen 2 Hirao, Masatake 2 Jaeger, François 2 Kim, Kijung 2 Koike, Masao 2 Sali, Attila 2 Sawa, Masanori 2 Shigezumi, Junichi 2 Sloane, Neil James Alexander 2 Solé, Patrick 2 Suda, Sho 1 Abdukhalikov, Kanat S. 1 Bachoc, Christine 1 Blokhuis, Aart 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 Navarro, Gabriel 1 Okuda, Takayuki 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 Venkov, Boris B. 1 Wei, Hongzeng 1 Yamada, Hiromichi 1 Yamaki, Hiroyoshi 1 Yoshida, Tomoyuki 1 Yu, Wei-Hsuan 1 Yudin, Vladimir A. 1 Zhu, Lin 1 Zhu, Yinfeng
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#### 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 2 Archiv der Mathematik 2 Canadian Journal of Mathematics 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 Designs, Codes and Cryptography 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 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 Annales de l’Institut Fourier 1 Ars Combinatoria 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 Annals of Combinatorics 1 Moscow Mathematical Journal 1 Contributions to Discrete Mathematics 1 Proceedings of the Steklov Institute of Mathematics 1 Journal of Physics A: Mathematical and Theoretical 1 Japanese Journal of Mathematics. 3rd Series 1 Moscow Journal of Combinatorics and Number Theory 1 De Gruyter Series in Discrete Mathematics and Applications
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#### Fields

 110 Combinatorics (05-XX) 47 Group theory and generalizations (20-XX) 17 Number theory (11-XX) 16 Information and communication theory, circuits (94-XX) 13 Geometry (51-XX) 6 Numerical analysis (65-XX) 5 Statistics (62-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Convex and discrete geometry (52-XX) 4 Quantum theory (81-XX) 3 General and overarching topics; collections (00-XX) 3 Manifolds and cell complexes (57-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 History and biography (01-XX) 2 Field theory and polynomials (12-XX) 2 Commutative algebra (13-XX) 2 Special functions (33-XX) 2 Operations research, mathematical programming (90-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-XX) 1 Functions of a complex variable (30-XX) 1 Ordinary differential equations (34-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Abstract harmonic analysis (43-XX) 1 Probability theory and stochastic processes (60-XX)

#### Citations contained in zbMATH Open

136 Publications have been cited 1,880 times in 1,245 Documents Cited by Year
Algebraic combinatorics. I: Association schemes. Zbl 0555.05019
Bannai, Eiichi; Ito, Tatsuro
1984
On finite Moore graphs. Zbl 0275.05121
Bannai, Eiichi; Ito, Tatsuro
1973
Tight spherical designs. I. Zbl 0403.05022
Bannai, Eiichi; Damerell, Robert Mark
1979
A survey on spherical designs and algebraic combinatorics on spheres. Zbl 1207.05022
Bannai, Eiichi; Bannai, Etsuko
2009
Tight spherical designs. II. Zbl 0436.05018
Bannai, Eiichi; Damerell, Robert Mark
1980
Type II codes, even unimodular lattices, and invariant rings. Zbl 0958.94042
Bannai, Eiichi; Dougherty, Steven T.; Harada, Masaaki; Oura, Manabu
1999
Subschemes of some association schemes. Zbl 0762.20004
Bannai, Eiichi
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
1983
Generalized generalized spin models (four-weight spin models). Zbl 0848.05072
Bannai, Eiichi; Bannai, Etsuko
1995
The nonexistence of certain tight spherical designs. Zbl 1072.05017
Bannai, E.; Munemasa, A.; Venkov, B.
2005
Uniqueness of certain spherical codes. Zbl 0457.05017
Bannai, Eiichi; Sloane, N. J. A.
1981
On spin models, modular invariance, and duality. Zbl 0880.05083
Bannai, Eiichi; Bannai, Etsuko; Jaeger, François
1997
On Euclidean tight 4-designs. Zbl 1104.05016
Bannai, Eiichi; Bannai, Etsuko
2006
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
1990
Spin models on finite cyclic groups. Zbl 0803.05058
Bannai, Eiichi; Bannai, Etsuko
1994
The Terwilliger algebras of group association schemes. Zbl 0839.05095
Bannai, Eiichi; Munemasa, Akihiro
1995
Current research on algebraic combinatorics. Supplements to our book, Algebraic combinatorics I. Zbl 0685.05030
Bannai, Eiichi; Ito, Tatsuro
1986
Regular graphs with excess one. Zbl 0473.05036
Bannai, Eiichi; Ito, Tatsuro
1981
Codes and designs in Grassmannian spaces. Zbl 1040.05005
Bachoc, Christine; Bannai, Eiichi; Coulangeon, Renaud
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
2003
On distance-regular graphs with fixed valency. Zbl 0626.05050
Bannai, Eiichi; Ito, Tatsuro
1987
Association schemes and fusion algebras. (An introduction). Zbl 0790.05098
Bannai, Eiichi
1993
Character tables of commutative association schemes. Zbl 0757.05100
Bannai, Eiichi
1990
Uniqueness of certain spherical codes. Zbl 0411.05028
Bannai, Eiichi; Sloane, N. J. A.
1981
On distance-regular graphs with fixed valency. II. Zbl 0699.05038
Bannai, Eiichi; Ito, Tatsuro
1988
On tight t-designs in compact symmetric spaces of rank one. Zbl 0572.05018
Bannai, Eiichi; Hoggar, Stuart G.
1985
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
1990
On tight designs. Zbl 0391.05005
Bannai, Eiichi
1977
Spherical t-designs which are orbits of finite groups. Zbl 0545.05025
Bannai, Eiichi
1984
On distance-regular graphs with fixed valency. IV. Zbl 0677.05061
Bannai, Eiichi; Ito, Tatsuro
1989
Character tables of fission schemes and fusion schemes. Zbl 0794.05131
Bannai, Eiichi; Song, Sung Yell
1993
Association schemes related to universally optimal configurations, Kerdock codes and extremal Euclidean line-sets. Zbl 1250.05119
Abdukhalikov, Kanat; Bannai, Eiichi; Suda, Sho
2009
On distance-regular graphs with fixed valency. III. Zbl 0677.05060
Bannai, Eiichi; Ito, Tatsuro
1987
Finite analogues of non-Euclidean spaces and Ramanujan graphs. Zbl 1033.05099
Bannai, Eiichi; Shimabukuro, Osamu; Tanaka, Hajime
2004
Cubature formulas in numerical analysis and Euclidean tight designs. Zbl 1227.05107
Bannai, Eiichi; Bannai, Etsuko; Hirao, Masatake; Sawa, Masanori
2010
Maximal subgroups of low rank of finite symmetric and alternating groups. Zbl 0262.20003
Bannai, Eiichi
1972
Remarks on the concepts of $$t$$-designs. Zbl 1296.05017
Bannai, Eiichi; Bannai, Etsuko
2012
How many P-polynomial structures can an association scheme have? Zbl 0458.94047
Bannai, Eiichi; Bannai, Etsuko
1980
A global study of Jordan-Pochhammer differential equations. Zbl 0349.34009
Takano, Kyoichi; Bannai, Eiichi
1976
Spherical designs of harmonic index $$t$$. Zbl 1312.05030
Bannai, Eiichi; Okuda, Takayuki; Tagami, Makoto
2015
Euclidean designs and coherent configurations. Zbl 1231.05019
Bannai, Eiichi; Bannai, Etsuko
2010
On extremal finite sets in the sphere and other metric spaces. Zbl 0723.05113
Bannai, E.
1988
On some spherical t-designs. Zbl 0464.05016
Bannai, Eiichi
1979
Construction of Jacobi forms from certain combinatorial polynomials. Zbl 0860.11026
Bannai, Eiichi; Ozeki, Michio
1996
Tight Gaussian 4-designs. Zbl 1069.05016
Bannai, Eiichi; Bannai, Etsuko
2005
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
1989
Tight t-designs and squarefree integers. Zbl 0713.05009
Bannai, E.; Hoggar, S. G.
1989
On antipodal spherical $$t$$-designs of degree $$s$$ with $$t\geq 2s-3$$. Zbl 1270.05017
Bannai, Eiichi; Bannai, Etsuko
2009
Spherical designs and Euclidean designs. Zbl 1209.05266
Bannai, Eiichi; Bannai, Etsuko
2009
Finite Euclidean graphs and Ramanujan graphs. Zbl 1208.05046
Bannai, Eiichi; Shimabukuro, Osamu; Tanaka, Hajime
2009
Classification of small spin models. Zbl 0823.05065
Bannai, Eiichi; Jaeger, François; Sali, Attila
1994
On perfect codes in the Hamming schemes H(n,q) with q arbitrary. Zbl 0356.94008
Bannai, Eiichi
1977
A note on the spherical embeddings of strongly regular graphs. Zbl 1071.05074
Bannai, Eiichi; Bannai, Etsuko
2005
On the existence of tight relative 2-designs on binary Hamming association schemes. Zbl 1277.05031
Bannai, Eiichi; Bannai, Etsuko; Bannai, Hideo
2014
On relative $$t$$-designs in polynomial association schemes. Zbl 1329.05307
Bannai, Eiichi; Bannai, Etsuko; Suda, Sho; Tanaka, Hajime
2015
Rigid spherical t-designs and a theorem of Y. Hong. Zbl 0718.05016
Bannai, Eiichi
1987
Generalized spin models and association schemes. Zbl 0797.05082
Bannai, Eiichi; Bannai, Etsuko
1993
Codes in bipartite distance-regular graphs. Zbl 0365.94015
Bannai, Eiichi
1977
Automorphisms of irreducible Weyl groups. Zbl 0196.05005
Bannai, E.
1969
Tight relative 2- and 4-designs on binary Hamming association schemes. Zbl 1295.05275
Li, Zengti; Bannai, Eiichi; Bannai, Etsuko
2014
Tight relative 2-designs on two shells in Johnson association schemes. Zbl 1327.05347
Zhu, Yan; Bannai, Eiichi; Bannai, Etsuko
2016
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
2006
On primitive symmetric association schemes with $$m_1=3$$. Zbl 1093.05073
Bannai, Eiichi; Bannai, Etsuko
2006
Design theory from the viewpoint of algebraic combinatorics. Zbl 1365.05301
Bannai, Eiichi; Bannai, Etsuko; Tanaka, Hajime; Zhu, Yan
2017
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
1991
On tight spherical designs. Zbl 0425.05015
Bannai, Eiichi
1979
On the spectra of certain distance-regular graphs. Zbl 0427.15005
Bannai, Eiichi; Ito, Tatsuro
1979
An upper bound for the cardinality of an s-distance subset in real euclidean space. Zbl 0491.05024
Bannai, Eiichi; Bannai, Etsuko
1981
Uniqueness of certain association schemes. Zbl 1200.05258
Bannai, Eiichi; Bannai, Etsuko; Bannai, Hideo
2008
The study of distance-regular graphs from the algebraic (i.e., character theoretical) viewpoint. Zbl 0677.05059
Bannai, Eiichi; Ito, Tatsuro
1987
On rank 3 groups with a multiply transitive constituent. Zbl 0241.20003
Bannai, Eiichi
1972
The decomposition of the permutation character $$1^{\text{GL}(2n,q)}_{\text{GL}(n,q^2)}$$. Zbl 1031.20040
Bannai, Eiichi; Tanaka, Hajime
2003
On the strong non-rigidity of certain tight Euclidean designs. Zbl 1123.05024
Bannai, Eiichi; Bannai, Etsuko; Suprijanto, Djoko
2007
On a property of 2-dimensional integral Euclidean lattices. Zbl 1236.11059
Bannai, Eiichi; Miezaki, Tsuyoshi
2012
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
2001
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
1990
Nonexistence of certain distance-transitive digraphs. Zbl 0468.05035
Bannai, Eiichi; Cameron, Peter J.; Kahn, Jeff
1981
Modular invariance of the character table of the Hamming association scheme $$H(d,q)$$. Zbl 0799.05068
Bannai, Eiichi; Bannai, Etsuko
1994
Doubly transitive permutation representations of the finite projective special linear groups PSL(n,q). Zbl 0253.20007
Bannai, Eiichi
1971
On some subgroups of the group Sp(2n,2). Zbl 0261.20035
Bannai, Eiichi
1971
A note on characters of normal subgroups of multiply transitive permutation groups. Zbl 0285.20015
Bannai, Eiichi
1973
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
1999
An introduction to association schemes. Zbl 0967.05068
Bannai, Eiichi
1999
Thoughts on modular forms. Zbl 0957.11500
Bannai, Eiichi
1999
Latest topics in algebraic combinatorics and association schemes. Zbl 0794.05130
Bannai, Eiichi
1993
On the spectra of certain distance-regular graphs. II. Zbl 0475.05059
Bannai, Eiichi; Ito, Tatsuro
1981
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
2015
On optimal tight 4-designs on 2 concentric spheres. Zbl 1083.62067
Bannai, Eiichi; Bannai, Etsuko
2006
An addition formula for hyperbolic space. Zbl 0545.51015
Bannai, E.; Blokhuis, A.; Seidel, J. J.; Delsarte, Ph.
1984
On the ring of simultaneous invariants for the Gleason-MacWilliams group. Zbl 0944.15022
Bannai, Eiichi; Bannai, Etsuko; Ozeki, Michio; Teranishi, Yasuo
1999
On spherical designs of some harmonic indices. Zbl 1361.05023
Zhu, Yan; Bannai, Eiichi; Bannai, Etsuko; Kim, Kyoung-Tark; Yu, Wei-Hsuan
2017
Relative $$t$$-designs in binary Hamming association scheme $$H(n,2)$$. Zbl 1367.05027
Bannai, Eiichi; Bannai, Etsuko; Zhu, Yan
2017
Maximal $$m$$-distance sets containing the representation of the Johnson graph $$J(n,m)$$. Zbl 1252.05150
Bannai, Eiichi; Sato, Takahiro; Shigezumi, Junichi
2012
Tight 9-designs on two concentric spheres. Zbl 1235.05026
Bannai, Eiichi; Bannai, Etsuko
2011
Toy models for D. H. Lehmer’s conjecture. Zbl 1216.11048
Bannai, Eiichi; Miezaki, Tsuyoshi
2010
A new Euclidean tight 6-design. Zbl 1256.05034
Bannai, Eiichi; Bannai, Etsuko; Shigezumi, Junichi
2012
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.
1989
Ennola type dualities in the character tables of some association schemes. Zbl 0808.20011
Bannai, Eiichi; Kwok, Wing Man; Song, Sung Yell
1990
On the weight distribution of spherical t-designs. Zbl 0464.05017
Bannai, Eiichi
1980
Primitive extensions of rank 4 of multiply transitive permutation groups. I: The case where all the orbits are self-paired. Zbl 0254.20001
Bannai, Eiichi
1973
Spherical embeddings of symmetric association schemes in 3-dimensional Euclidean space. Zbl 1436.05139
Bannai, Eiichi; Zhao, Da
2020
Tight $$t$$-designs on one shell of Johnson association schemes. Zbl 1415.05183
Bannai, Eiichi; Zhu, Yan
2019
Half of an antipodal spherical design. Zbl 1386.05022
Bannai, Eiichi; Zhao, Da; Zhu, Lin; Zhu, Yan; Zhu, Yinfeng
2018
Design theory from the viewpoint of algebraic combinatorics. Zbl 1365.05301
Bannai, Eiichi; Bannai, Etsuko; Tanaka, Hajime; Zhu, Yan
2017
On spherical designs of some harmonic indices. Zbl 1361.05023
Zhu, Yan; Bannai, Eiichi; Bannai, Etsuko; Kim, Kyoung-Tark; Yu, Wei-Hsuan
2017
Relative $$t$$-designs in binary Hamming association scheme $$H(n,2)$$. Zbl 1367.05027
Bannai, Eiichi; Bannai, Etsuko; Zhu, Yan
2017
Harmonic index designs in binary Hamming schemes. Zbl 1387.05035
Zhu, Yan; Bannai, Eiichi; Bannai, Etsuko; Ikuta, Takuya; Kim, Kyoung-Tark
2017
Tight relative 2-designs on two shells in Johnson association schemes. Zbl 1327.05347
Zhu, Yan; Bannai, Eiichi; Bannai, Etsuko
2016
Spherical designs of harmonic index $$t$$. Zbl 1312.05030
Bannai, Eiichi; Okuda, Takayuki; Tagami, Makoto
2015
On relative $$t$$-designs in polynomial association schemes. Zbl 1329.05307
Bannai, Eiichi; Bannai, Etsuko; Suda, Sho; Tanaka, Hajime
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
2015
Appendix: On some Gelfand pairs and commutative association schemes. Zbl 1346.20004
Bannai, Eiichi; Tanaka, Hajime
2015
On the existence of tight relative 2-designs on binary Hamming association schemes. Zbl 1277.05031
Bannai, Eiichi; Bannai, Etsuko; Bannai, Hideo
2014
Tight relative 2- and 4-designs on binary Hamming association schemes. Zbl 1295.05275
Li, Zengti; Bannai, Eiichi; Bannai, Etsuko
2014
Tight $$t$$-designs on two concentric spheres. Zbl 1314.05230
Bannai, Eiichi; Bannai, Etsuko
2014
Toy models for D. H. Lehmer’s conjecture. II. Zbl 1310.11052
Bannai, Eiichi; Miezaki, Tsuyoshi
2013
Combinatorics as pure mathematics – aims of algebraic combinatorics. Zbl 1388.05002
Bannai, Eiichi
2013
Remarks on the concepts of $$t$$-designs. Zbl 1296.05017
Bannai, Eiichi; Bannai, Etsuko
2012
On a property of 2-dimensional integral Euclidean lattices. Zbl 1236.11059
Bannai, Eiichi; Miezaki, Tsuyoshi
2012
Maximal $$m$$-distance sets containing the representation of the Johnson graph $$J(n,m)$$. Zbl 1252.05150
Bannai, Eiichi; Sato, Takahiro; Shigezumi, Junichi
2012
A new Euclidean tight 6-design. Zbl 1256.05034
Bannai, Eiichi; Bannai, Etsuko; Shigezumi, Junichi
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
2012
Tight 9-designs on two concentric spheres. Zbl 1235.05026
Bannai, Eiichi; Bannai, Etsuko
2011
A note on anticoherent spin states. Zbl 1225.81072
Bannai, Eiichi; Tagami, Makoto
2011
Cubature formulas in numerical analysis and Euclidean tight designs. Zbl 1227.05107
Bannai, Eiichi; Bannai, Etsuko; Hirao, Masatake; Sawa, Masanori
2010
Euclidean designs and coherent configurations. Zbl 1231.05019
Bannai, Eiichi; Bannai, Etsuko
2010
Toy models for D. H. Lehmer’s conjecture. Zbl 1216.11048
Bannai, Eiichi; Miezaki, Tsuyoshi
2010
A survey on spherical designs and algebraic combinatorics on spheres. Zbl 1207.05022
Bannai, Eiichi; Bannai, Etsuko
2009
Association schemes related to universally optimal configurations, Kerdock codes and extremal Euclidean line-sets. Zbl 1250.05119
Abdukhalikov, Kanat; Bannai, Eiichi; Suda, Sho
2009
On antipodal spherical $$t$$-designs of degree $$s$$ with $$t\geq 2s-3$$. Zbl 1270.05017
Bannai, Eiichi; Bannai, Etsuko
2009
Spherical designs and Euclidean designs. Zbl 1209.05266
Bannai, Eiichi; Bannai, Etsuko
2009
Finite Euclidean graphs and Ramanujan graphs. Zbl 1208.05046
Bannai, Eiichi; Shimabukuro, Osamu; Tanaka, Hajime
2009
The mathematics of Donald Gordon Higman. Zbl 1165.01309
Bannai, Eiichi; Griess, Robert L. jun.; Praeger, Cheryl E.; Scott, Leonard
2009
Uniqueness of certain association schemes. Zbl 1200.05258
Bannai, Eiichi; Bannai, Etsuko; Bannai, Hideo
2008
On the zeros of Hecke-type Faber polynomials. Zbl 1190.11030
Bannai, Eiichi; Kojima, Koji; Miezaki, Tsuyoshi
2008
On the strong non-rigidity of certain tight Euclidean designs. Zbl 1123.05024
Bannai, Eiichi; Bannai, Etsuko; Suprijanto, Djoko
2007
On Euclidean tight 4-designs. Zbl 1104.05016
Bannai, Eiichi; Bannai, Etsuko
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
2006
On primitive symmetric association schemes with $$m_1=3$$. Zbl 1093.05073
Bannai, Eiichi; Bannai, Etsuko
2006
On optimal tight 4-designs on 2 concentric spheres. Zbl 1083.62067
Bannai, Eiichi; Bannai, Etsuko
2006
The nonexistence of certain tight spherical designs. Zbl 1072.05017
Bannai, E.; Munemasa, A.; Venkov, B.
2005
Tight Gaussian 4-designs. Zbl 1069.05016
Bannai, Eiichi; Bannai, Etsuko
2005
A note on the spherical embeddings of strongly regular graphs. Zbl 1071.05074
Bannai, Eiichi; Bannai, Etsuko
2005
Codes and designs in Grassmannian spaces. Zbl 1040.05005
Bachoc, Christine; Bannai, Eiichi; Coulangeon, Renaud
2004
Finite analogues of non-Euclidean spaces and Ramanujan graphs. Zbl 1033.05099
Bannai, Eiichi; Shimabukuro, Osamu; Tanaka, Hajime
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
2003
The decomposition of the permutation character $$1^{\text{GL}(2n,q)}_{\text{GL}(n,q^2)}$$. Zbl 1031.20040
Bannai, Eiichi; Tanaka, Hajime
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
2001
Modular invariants of the modular data of finite groups. Zbl 0991.05510
Bannai, Eiichi; Bannai, Etsuko; Shimabukuro, Osamu; Tagami, Makoto
2001
Type II codes, even unimodular lattices, and invariant rings. Zbl 0958.94042
Bannai, Eiichi; Dougherty, Steven T.; Harada, Masaaki; Oura, Manabu
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
1999
An introduction to association schemes. Zbl 0967.05068
Bannai, Eiichi
1999
Thoughts on modular forms. Zbl 0957.11500
Bannai, Eiichi
1999
On the ring of simultaneous invariants for the Gleason-MacWilliams group. Zbl 0944.15022
Bannai, Eiichi; Bannai, Etsuko; Ozeki, Michio; Teranishi, Yasuo
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
1999
On spin models, modular invariance, and duality. Zbl 0880.05083
Bannai, Eiichi; Bannai, Etsuko; Jaeger, François
1997
On association schemes of balanced property with $$m_1=4$$. Zbl 0935.05095
Bannai, Eiichi; Sali, Attila
1997
Construction of Jacobi forms from certain combinatorial polynomials. Zbl 0860.11026
Bannai, Eiichi; Ozeki, Michio
1996
On Jacobi forms of weight 4. Zbl 0896.11018
Bannai, Eiichi; Minashima, Shinri; Ozeki, Michio
1996
Generalized generalized spin models (four-weight spin models). Zbl 0848.05072
Bannai, Eiichi; Bannai, Etsuko
1995
The Terwilliger algebras of group association schemes. Zbl 0839.05095
Bannai, Eiichi; Munemasa, Akihiro
1995
Spin models on finite cyclic groups. Zbl 0803.05058
Bannai, Eiichi; Bannai, Etsuko
1994
Classification of small spin models. Zbl 0823.05065
Bannai, Eiichi; Jaeger, François; Sali, Attila
1994
Modular invariance of the character table of the Hamming association scheme $$H(d,q)$$. Zbl 0799.05068
Bannai, Eiichi; Bannai, Etsuko
1994
Association schemes and fusion algebras. (An introduction). Zbl 0790.05098
Bannai, Eiichi
1993
Character tables of fission schemes and fusion schemes. Zbl 0794.05131
Bannai, Eiichi; Song, Sung Yell
1993
Generalized spin models and association schemes. Zbl 0797.05082
Bannai, Eiichi; Bannai, Etsuko
1993
Latest topics in algebraic combinatorics and association schemes. Zbl 0794.05130
Bannai, Eiichi
1993
On a theorem of Ikuta, Ito and Munemasa. Zbl 0753.05080
Bannai, Eiichi
1992
Subschemes of some association schemes. Zbl 0762.20004
Bannai, Eiichi
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
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
1990
Character tables of commutative association schemes. Zbl 0757.05100
Bannai, Eiichi
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
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
1990
Ennola type dualities in the character tables of some association schemes. Zbl 0808.20011
Bannai, Eiichi; Kwok, Wing Man; Song, Sung Yell
1990
Orthogonal polynomials in coding theory and algebraic combinatorics. Zbl 0704.42025
Bannai, Eiichi
1990
On distance-regular graphs with fixed valency. IV. Zbl 0677.05061
Bannai, Eiichi; Ito, Tatsuro
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
1989
Tight t-designs and squarefree integers. Zbl 0713.05009
Bannai, E.; Hoggar, S. G.
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.
1989
On the character table of the association scheme $$Sp(4,q)/Sz(q)$$. Zbl 0762.20002
Bannai, Eiichi; Song, Sung-Yell
1989
On distance-regular graphs with fixed valency. II. Zbl 0699.05038
Bannai, Eiichi; Ito, Tatsuro
1988
On extremal finite sets in the sphere and other metric spaces. Zbl 0723.05113
Bannai, E.
1988
On distance-regular graphs with fixed valency. Zbl 0626.05050
Bannai, Eiichi; Ito, Tatsuro
1987
On distance-regular graphs with fixed valency. III. Zbl 0677.05060
Bannai, Eiichi; Ito, Tatsuro
1987
Rigid spherical t-designs and a theorem of Y. Hong. Zbl 0718.05016
Bannai, Eiichi
1987
The study of distance-regular graphs from the algebraic (i.e., character theoretical) viewpoint. Zbl 0677.05059
Bannai, Eiichi; Ito, Tatsuro
1987
Current research on algebraic combinatorics. Supplements to our book, Algebraic combinatorics I. Zbl 0685.05030
Bannai, Eiichi; Ito, Tatsuro
1986
On tight t-designs in compact symmetric spaces of rank one. Zbl 0572.05018
Bannai, Eiichi; Hoggar, Stuart G.
1985
Tight t-designs in projective spaces, and Newton polygons. Zbl 0594.05013
Bannai, Eiichi; Hoggar, Stuart G.
1985
Algebraic combinatorics. I: Association schemes. Zbl 0555.05019
Bannai, Eiichi; Ito, Tatsuro
1984
Spherical t-designs which are orbits of finite groups. Zbl 0545.05025
Bannai, Eiichi
1984
An addition formula for hyperbolic space. Zbl 0545.51015
Bannai, E.; Blokhuis, A.; Seidel, J. J.; Delsarte, Ph.
1984
Spherical designs and group representations. Zbl 0559.05017
Bannai, Eiichi
1984
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
1983
On s-distance subsets in real hyperbolic space. Zbl 0501.51008
Bannai, Eiichi
1982
Uniqueness of certain spherical codes. Zbl 0457.05017
Bannai, Eiichi; Sloane, N. J. A.
1981
Regular graphs with excess one. Zbl 0473.05036
Bannai, Eiichi; Ito, Tatsuro
1981
Uniqueness of certain spherical codes. Zbl 0411.05028
Bannai, Eiichi; Sloane, N. J. A.
1981
...and 36 more Documents
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#### Cited by 972 Authors

 63 Bannai, Eiichi 52 Terwilliger, Paul M. 28 Bannai, Etsuko 26 Xu, Bangteng 24 Ito, Tatsuro 23 Nomura, Kazumasa 23 Wang, Kaishun 22 Koolen, Jack H. 22 Muzychuk, Mikhail E. 22 Vinet, Luc 21 Hirasaka, Mitsugu 21 Munemasa, Akihiro 20 Gao, Suogang 19 Guo, Jun 19 Ponomarenko, Ilya Nikolaevich 18 Hanaki, Akihide 18 Suda, Sho 18 Tanaka, Hajime 18 Zhedanov, Alexei S. 17 Nozaki, Hiroshi 17 Solé, Patrick 16 Hiraki, Akira 14 MacLean, Mark S. 14 Miklavič, Štefko 13 Curtin, Brian 13 Hou, Bo 13 Li, Fenggao 13 Ma, Jianmin 13 Song, Sung-Yell 13 Suzuki, Hiroshi 12 Blau, Harvey I. 11 Dougherty, Steven T. 11 Miezaki, Tsuyoshi 11 Miller, Mirka 11 Sawa, Masanori 10 Boĭvalenkov, Pet”r Georgiev 9 Dinh, Hai Quang 9 Harada, Masaaki 9 Ikuta, Takuya 9 Ivanov, Alexander A. 9 Klin, Mikhail H. 9 Martin, William J. 8 Choie, YoungJu 8 Evdokimov, Sergeĭ Alekseevich 8 Hirao, Masatake 8 Johnson, Kenneth W. 8 Kharaghani, Hadi 8 Kim, Kijung 8 Praeger, Cheryl Elisabeth 8 Shimabukuro, Osamu 8 Zhu, Yan 7 Bachoc, Christine 7 Balbuena, Camino 7 Bang, Sejeong 7 Caughman, John S. IV 7 Feng, Tao 7 Genest, Vincent X. 7 Godsil, Christopher David 7 Momihara, Koji 7 Smith, Jonathan Dallas Hayden 7 Tsujimoto, Satoshi 7 Van Dam, Edwin Robert 7 Weng, Chih-Wen 7 Yu, Wei-Hsuan 7 Zuber, Jean-Bernard 6 Cameron, Peter Jephson 6 Gräf, Manuel 6 Lee, Jaeho 6 Moulton, Vincent L. 6 Musin, Oleg R. 6 Shinohara, Masashi 6 Sriboonchitta, Songsak 6 Stanton, Dennis W. 6 Wang, Yangxian 6 Woldar, Andrew J. 5 Ankur 5 Arad, Zvi 5 Araujo-Pardo, Gabriela 5 Ehler, Martin 5 Fiol, Miquel Angel 5 Gao, You 5 Gimbert, Joan 5 Huang, Tayuan 5 Jaeger, François 5 Jurišić, Aleksandar 5 Levenshtein, Vladimir I. 5 Oura, Manabu 5 Pascasio, Arlene A. 5 Pasechnik, Dmitrii V. 5 Petkova, Valentina B. 5 Pineda-Villavicencio, Guillermo 5 Roy, Aidan 5 Saxl, Jan 5 Venkov, Boris B. 5 Vinh, Le Anh 5 Zhao, Da 4 Abdukhalikov, Kanat S. 4 Bagherian, Javad 4 Bajnok, Béla 4 Bamberg, John ...and 872 more Authors
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#### Cited in 189 Serials

 139 European Journal of Combinatorics 107 Discrete Mathematics 87 Linear Algebra and its Applications 86 Journal of Algebraic Combinatorics 79 Journal of Combinatorial Theory. Series A 59 Journal of Algebra 54 Graphs and Combinatorics 44 Designs, Codes and Cryptography 32 Journal of Combinatorial Theory. Series B 24 Communications in Algebra 24 Finite Fields and their Applications 21 Discrete Applied Mathematics 16 Transactions of the American Mathematical Society 13 Archiv der Mathematik 13 Journal of Statistical Planning and Inference 13 Journal of Algebra and its Applications 12 Proceedings of the American Mathematical Society 12 Combinatorica 12 Journal of Mathematical Sciences (New York) 11 Journal of Mathematical Physics 9 Advances in Mathematics 8 Nuclear Physics. B 8 Journal of Approximation Theory 8 Algebraic Combinatorics 7 Journal of Pure and Applied Algebra 7 Discrete & Computational Geometry 7 SIAM Journal on Discrete Mathematics 7 St. Petersburg Mathematical Journal 7 Journal of Combinatorial Designs 6 Communications in Mathematical Physics 6 Annales de l’Institut Fourier 6 Annals of Combinatorics 5 Mathematics of Computation 5 Journal of Computational and Applied Mathematics 5 Journal of Graph Theory 5 Journal of the Mathematical Society of Japan 5 Mathematische Zeitschrift 5 Acta Mathematicae Applicatae Sinica. English Series 5 The Ramanujan Journal 5 Proceedings of the Steklov Institute of Mathematics 5 Ars Mathematica Contemporanea 4 Linear and Multilinear Algebra 4 Functional Analysis and its Applications 4 Geometriae Dedicata 4 Journal of Number Theory 4 Acta Applicandae Mathematicae 4 Journal of Symbolic Computation 4 Indagationes Mathematicae. New Series 4 Applicable Algebra in Engineering, Communication and Computing 4 Applied and Computational Harmonic Analysis 4 Transformation Groups 4 Journal of Applied Mathematics and Computing 4 Proceedings of the Japan Academy 3 Israel Journal of Mathematics 3 Letters in Mathematical Physics 3 Mathematical Notes 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Mathematica Slovaca 3 Michigan Mathematical Journal 3 Networks 3 Results in Mathematics 3 Journal of the American Mathematical Society 3 Expositiones Mathematicae 3 Experimental Mathematics 3 The Electronic Journal of Combinatorics 3 Asian-European Journal of Mathematics 3 Discrete Mathematics, Algorithms and Applications 3 Science China. Mathematics 2 Problems of Information Transmission 2 Rocky Mountain Journal of Mathematics 2 Applied Mathematics and Computation 2 Duke Mathematical Journal 2 Journal of Geometry 2 Numerische Mathematik 2 Osaka Journal of Mathematics 2 Proceedings of the Japan Academy. Series A 2 Theoretical Computer Science 2 Journal of Complexity 2 Constructive Approximation 2 Journal of Theoretical Probability 2 Forum Mathematicum 2 Science in China. Series A 2 Bulletin of the American Mathematical Society. New Series 2 Chinese Science Bulletin 2 SIAM Journal on Optimization 2 Acta Universitatis Matthiae Belii. Series Mathematics 2 Discussiones Mathematicae. Graph Theory 2 Séminaire Lotharingien de Combinatoire 2 Journal of Group Theory 2 Infinite Dimensional Analysis, Quantum Probability and Related Topics 2 Annals of Mathematics. Second Series 2 LMS Journal of Computation and Mathematics 2 Advances in Geometry 2 Sibirskie Èlektronnye Matematicheskie Izvestiya 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 Advances in Mathematics of Communications 2 Japanese Journal of Mathematics. 3rd Series 2 International Journal of Combinatorics 2 Sankhyā. Series A 2 Arabian Journal of Mathematics ...and 89 more Serials
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#### Cited in 51 Fields

 882 Combinatorics (05-XX) 221 Group theory and generalizations (20-XX) 148 Information and communication theory, circuits (94-XX) 98 Number theory (11-XX) 86 Special functions (33-XX) 78 Geometry (51-XX) 68 Linear and multilinear algebra; matrix theory (15-XX) 49 Convex and discrete geometry (52-XX) 48 Associative rings and algebras (16-XX) 44 Nonassociative rings and algebras (17-XX) 44 Quantum theory (81-XX) 38 Numerical analysis (65-XX) 32 Operations research, mathematical programming (90-XX) 28 Harmonic analysis on Euclidean spaces (42-XX) 24 Computer science (68-XX) 23 Approximations and expansions (41-XX) 18 Commutative algebra (13-XX) 18 Statistics (62-XX) 15 Abstract harmonic analysis (43-XX) 15 Probability theory and stochastic processes (60-XX) 15 Statistical mechanics, structure of matter (82-XX) 14 Algebraic geometry (14-XX) 13 Functional analysis (46-XX) 12 Order, lattices, ordered algebraic structures (06-XX) 11 Manifolds and cell complexes (57-XX) 9 Field theory and polynomials (12-XX) 9 Topological groups, Lie groups (22-XX) 5 History and biography (01-XX) 5 Mathematical logic and foundations (03-XX) 5 Category theory; homological algebra (18-XX) 5 Partial differential equations (35-XX) 3 Potential theory (31-XX) 3 Operator theory (47-XX) 3 Differential geometry (53-XX) 3 Mechanics of particles and systems (70-XX) 3 Mechanics of deformable solids (74-XX) 2 $$K$$-theory (19-XX) 2 Real functions (26-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Ordinary differential equations (34-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Difference and functional equations (39-XX) 2 Integral transforms, operational calculus (44-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Biology and other natural sciences (92-XX) 1 General algebraic systems (08-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 General topology (54-XX) 1 Relativity and gravitational theory (83-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX)