E. Bannai

发表

On finite Moore graphs

E. Bannai, Tatsuro Ito, 1973 .

Type II Codes, Even Unimodular Lattices, and Invariant Rings

Masaaki Harada, Steven T. Dougherty, Eiichi Bannai, 1999, IEEE Trans. Inf. Theory.

Algebraic Combinatorics I: Association Schemes

E. Bannai, Tatsuro Ito, 1984 .

A survey on tight Euclidean t-designs and tight relative t-designs in certain association schemes

Eiichi Bannai, Etsuko Bannai, Yan Zhu, 2015 .

On the existence of tight relative 2-designs on binary Hamming association schemes

Hideo Bannai, Eiichi Bannai, Etsuko Bannai, 2013 .

Orthogonal Polynomials in Coding Theory and Algebraic Combinatorics

E. Bannai, 1990 .

Spherical t-designs which are orbits of finite groups

Eiichi Bannai, E. Bannai, 1984 .

Spherical Designs Attached to Extremal Lattices and the Modulo p Property of Fourier Coefficients of Extremal Modular Forms

E. Bannai, M. Koike, M. Shinohara, 2006 .

DOUBLY TRANSITIVE PERMUTATION REPRESENTATIONS OF THE FINITE PROJECTIVE SPECIAL LINEAR GROUPS PSL(n,q)

Eiichi Bannai, E. Bannai, 1971 .

On the explicit constructions of certain unitary t-designs

E. Bannai, M. Nakahara, Yan Zhu, 2019, Journal of Physics A: Mathematical and Theoretical.

The Mathematics of Donald Gordon Higman

Jr., C. Praeger, E. Bannai, 2009, 0901.0971.

Classification of feasible parameters by solving Diophantine equations

E. Bannai, Wei-Hsuan Yu, E. Bannai, 2019 .

ON MULTIPLY TRANSITIVE PERMUTATION GROUPS II

E. Bannai, 1974 .

Correction to : Several remarks on transitive extensions of finite permutation groups

E. Bannai, 1972 .

Several remarks on transitive extensions of finite permutation groups

E. Bannai, 1971 .

On the Weight Distribution of Spherical t-designs

Eiichi Bannai, E. Bannai, 1980, Eur. J. Comb..

The real equiangular tight frames obtained from rank $3$ graphs

E. Bannai, Wei-Hsuan Yu, E. Bannai, 2022, 2202.09858.

A note on anticoherent spin states

E. Bannai, M. Tagami, 2011 .

On the strong non-rigidity of certain tight Euclidean designs

E. Bannai, E. Bannai, D. Suprijanto, 2007, Eur. J. Comb..

Appendix: On some Gelfand pairs and commutative association schemes

E. Bannai, Hajime Tanaka, 2015 .

ON THE ZEROS OF HECKE-TYPE FABER POLYNOMIALS

E. Bannai, Koji Kojima, T. Miezaki, 2008 .

Explicit construction of exact unitary designs

Y. Nakata, E. Bannai, Da Zhao, 2020, 2009.11170.

More on spherical designs of harmonic index $t$

E. Bannai, Wei-Hsuan Yu, E. Bannai, 2015, 1507.05373.

C O ] 2 3 M ar 2 01 0 An elementary approach to toy models for D

V. Yudin, E. Bannai, T. Miezaki, 2010 .

On s -distance subsets in real hyperbolic space

E. Bannai, E. Bannai, 2007 .

ON TIGHT DESIGNS

E. Bannai, 1977 .

Design Theory from the Viewpoint of Algebraic Combinatorics

E. Bannai, E. Bannai, Yan Zhu, 2016, Graphs and Combinatorics.

A survey on tight Euclidean t-designs and tight relative t-designs in certain association schemes

E. Bannai, E. Bannai, Yan Zhu, 2015, Proceedings of the Steklov Institute of Mathematics.

The Character Tables of Paige's Sample Moufang Loops and Their Relationship to the Character Tables of Psl(2, q)

Sung Y. Song, E. Bannai, 1989 .

Algebraic Combinatorics I: Association Schemes

E. Bannai, Tatsuro Ito, 1984 .

Relative t-designs in binary Hamming association scheme H(n, 2)

E. Bannai, E. Bannai, Yan Zhu, 2016, Designs, Codes and Cryptography.

Developments of Algebraic Combinatorics, a personal view

E. Bannai, 2013 .

Tight Relative 2- and 4-Designs on Binary Hamming Association Schemes

E. Bannai, E. Bannai, Zengti Li, 2012, Graphs and Combinatorics.

On Some Subgroups of the Group PSp(2n, q)

E. Bannai, 1971 .

Regular graphs with excess one

Tatsuro Ito, Eiichi Bannai, E. Bannai, 1981, Discret. Math..

Association Schemes and Fusion Algebras (An Introduction)

Eiichi Bannai, E. Bannai, 1993 .

Subschemes of some association schemes

Eiichi Bannai, E. Bannai, 1991 .

Quantum Circuits for Exact Unitary t -Designs and Applications to Higher-Order Randomized Benchmarking

Y. Nakata, E. Bannai, Yasunobu Nakamura, 2021, PRX Quantum.

Multivariate P- and/or Q-polynomial association schemes

E. Bannai, Yan Zhu, Da Zhao, 2023, 2305.00707.

Tight relative t-designs on two shells in hypercubes, and Hahn and Hermite polynomials

Eiichi Bannai, Etsuko Bannai, Hajime Tanaka, 2020, Ars Math. Contemp..

Spherical Embeddings of Symmetric Association Schemes in 3-Dimensional Euclidean Space

E. Bannai, Da Zhao, 2019, Graphs and Combinatorics.

Spherical Embeddings of Symmetric Association Schemes in 3-Dimensional Euclidean Space

Eiichi Bannai, Da Zhao, E. Bannai, 2017, Graphs Comb..

Appendix: On some Gelfand pairs and commutative association schemes

E. Bannai, Hajime Tanaka, 2014, Japanese Journal of Mathematics.

On Relative $t$-Designs in Polynomial Association Schemes

Sho Suda, Eiichi Bannai, Etsuko Bannai, 2013, Electron. J. Comb..

A survey on spherical designs and algebraic combinatorics on spheres

Eiichi Bannai, Etsuko Bannai, E. Bannai, 2009, Eur. J. Comb..

THE DECOMPOSITION OF THE PERMUTATION CHARACTER $1^{GL(2n,q)}_{GL(n,q^2)}$ (Topics in Young Diagrams and Representation Theory)

E. Bannai, Hajime Tanaka, 2002 .

Modular invariance property of association schemes, type II codes over finite rings and finite abelian groups and reminiscences of François Jaeger (a survey)

Eiichi Bannai, E. Bannai, 1999 .

COMBINATORICS AS PURE MATHEMATICS —AIMS OF ALGEBRAIC COMBINATORICS—

E. Bannai, EIICHI BANNAI, 2012 .

Association schemes related to universally optimal configurations, Kerdock codes and extremal Euclidean line-sets

Sho Suda, Eiichi Bannai, Kanat S. Abdukhalikov, 2008, J. Comb. Theory A.

Design Theory from the Viewpoint of Algebraic Combinatorics

Eiichi Bannai, Etsuko Bannai, Yan Zhu, 2017, Graphs Comb..

Finite analogues of non-Euclidean spaces and Ramanujan graphs

Eiichi Bannai, Hajime Tanaka, Osamu Shimabukuro, 2004, Eur. J. Comb..

The decomposition of the permutation character 1GL(2n,q)GL(n,q2)

E. Bannai, Hajime Tanaka, 2003 .

Character tables of certain association schemes coming from finite unitary and symplectic groups

Eiichi Bannai, Sung Y. Song, Sung-Yell Song, 1991 .

Character tables of the association schemes of finite orthogonal groups acting on the nonisotropic points

Eiichi Bannai, Shen Hao, Sung-Yell Song, 1990, J. Comb. Theory, Ser. A.

On a theorem of Ikuta, Ito and Munemasa

Eiichi Bannai, E. Bannai, 1992, Eur. J. Comb..

On primitive symmetric association schemes with m1=3

Eiichi Bannai, Etsuko Bannai, E. Bannai, 2006, Contributions Discret. Math..

The character table of the Hecke algebra H(GL2n(Fq), Sp2n(Fq))

Eiichi Bannai, Noriaki Kawanaka, Sung Y. Song, 1990 .

On Spin Models, Modular Invariance, and Duality

Eiichi Bannai, Etsuko Bannai, François Jaeger, 1997 .

Finite Euclidean graphs and Ramanujan graphs

Eiichi Bannai, Hajime Tanaka, Osamu Shimabukuro, 2009, Discret. Math..

Sphere Packings, Lattices and Groups

N. J. A. Sloane, John H. Conway, N. Sloane, 1987, Grundlehren der mathematischen Wissenschaften.

An upper bound for the cardinality of ans-distance subset in real euclidean space, II

Eiichi Bannai, Etsuko Bannai, Dennis Stanton, 1983, Comb..

On tight $t$-designs in compact symmetric spaces of rank one

Eiichi Bannai, S. G. Hoggar, Stuart G. Hoggar, 1985 .

On distance-regular graphs with fixed valency

Tatsuro Ito, Eiichi Bannai, E. Bannai, 1987, Graphs Comb..

On distance-regular graphs with fixed valency, III

Tatsuro Ito, Eiichi Bannai, E. Bannai, 1987 .

Codes in Bipartite Distance-Regular Graphs

Eiichi Bannai, E. Bannai, 1977 .

Uniqueness of Certain Spherical Codes

Eiichi Bannai, Neil J. A. Sloane, N. Sloane, 1981, Canadian Journal of Mathematics.

Tight relative 2-designs on two shells in Johnson association schemes

Eiichi Bannai, Etsuko Bannai, Yan Zhu, 2016, Discret. Math..

Unitary $t$-groups

Eiichi Bannai, Pham Huu Tiep, Gabriel Navarro, 2018, Journal of the Mathematical Society of Japan.

Type II codes over F2 + 11F2 and applications to Hermitian modular forms

Akihiro Munemasa, Masaaki Harada, Eiichi Bannai, 2003 .

On the existence of minimum cubature formulas for Gaussian measure on ℝ2 of degree t supported by $[\frac{t}{4}]+1$ circles

E. Bannai, M. Sawa, Masatake Hirao, 2012 .

Cubature formulas in numerical analysis and Euclidean tight designs

Masanori Sawa, Eiichi Bannai, Etsuko Bannai, 2010, Eur. J. Comb..

On Euclidean tight 4-designs

Eiichi Bannai, Etsuko Bannai, E. Bannai, 2006 .

Tight Gaussian 4-Designs

Eiichi Bannai, Etsuko Bannai, E. Bannai, 2005 .

A note on the spherical embeddings of strongly regular graphs

Eiichi Bannai, Etsuko Bannai, E. Bannai, 2005, Eur. J. Comb..

Half of an antipodal spherical design

E. Bannai, Yan Zhu, Da Zhao, 2017, Archiv der Mathematik.

Spherical designs of harmonic index t

Eiichi Bannai, Makoto Tagami, Takayuki Okuda, 2013, J. Approx. Theory.

The nonexistence of certain tight spherical designs

Akihiro Munemasa, Eiichi Bannai, Boris Venkov, 2005 .

Uniqueness of certain association schemes

Hideo Bannai, Eiichi Bannai, Etsuko Bannai, 2008, Eur. J. Comb..

On the two-distance embedding in real Euclidean space of coherent configuration of type (2,2;3)

E. Bannai, Wei-Hsuan Yu, E. Bannai, 2022, 2211.02331.

On a property of 2-dimensional integral Euclidean lattices

E. Bannai, T. Miezaki, 2009, 0912.1659.

Bivariate Q-polynomial structures for the nonbinary Johnson scheme and the association scheme obtained from attenuated spaces

E. Bannai, Hirotake Kurihara, Da Zhao, 2024, Journal of Algebra.

Algebraic Combinatorics

E. Bannai, E. Bannai, Tatsuro Ito, 2021 .

On Some Spherical t-Designs

Eiichi Bannai, E. Bannai, 1979, J. Comb. Theory A.