Etsuko Bannai

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All published works

Action	Title	Year	Authors
+	On the two-distance embedding in real Euclidean space of coherent configuration of type (2,2;3)	2024	Eiichi Bannaĭ Etsuko Bannai Chin-Yen Lee Ziqing Xiang Wei-Hsuan Yu
+	The real equiangular tight frames obtained from rank $3$ graphs	2022	Eiichi Bannaĭ Etsuko Bannai Chin-Yen Lee Hajime Tanaka Wei-Hsuan Yu
+	On the two-distance embedding in real Euclidean space of coherent configuration of type (2,2;3)	2022	Eiichi Bannaĭ Etsuko Bannai Chin-Yen Lee Ziqing Xiang Wei-Hsuan Yu
+ PDF Chat	Tight relative t-designs on two shells in hypercubes, and Hahn and Hermite polynomials	2021	Eiichi Bannaĭ Etsuko Bannai Hajime Tanaka Yan Zhu
+	6 P- and Q-polynomial schemes	2021	Eiichi Bannaĭ Etsuko Bannai Tatsuro Ito Rie Tanaka
+	5 Algebraic combinatorics on spheres and general remarks on algebraic combinatorics	2021	Eiichi Bannaĭ Etsuko Bannai Tatsuro Ito Tanaka Rie
+ PDF Chat	Classification of Spherical $2$-distance $\{4,2,1\}$-designs by Solving Diophantine Equations	2020	Eiichi Bannaĭ Etsuko Bannai Ziqing Xiang Wei-Hsuan Yu Yan Zhu
+	Tight relative $t$-designs on two shells in hypercubes, and Hahn and Hermite polynomials	2020	Eiichi Bannaĭ Etsuko Bannai Hajime Tanaka Yan Zhu
+	On the strong non-rigidity of certain tight Euclidean designs	2017	Eiichi Bannaĭ Etsuko Bannai Djoko Suprijanto
+	Harmonic Index Designs in Binary Hamming Schemes	2017	Yan Zhu Eiichi Bannaĭ Etsuko Bannai Takuya Ikuta Kyoung-Tark Kim
+	On Spherical Designs of Some Harmonic Indices	2017	Yan Zhu Eiichi Bannaĭ Etsuko Bannai Kyoung-Tark Kim Wei-Hsuan Yu
+	On the strong non-rigidity of certain tight Euclidean designs	2017	Eiichi Bannaĭ Etsuko Bannai Djoko Suprijanto
+	Design Theory from the Viewpoint of Algebraic Combinatorics	2016	Eiichi Bannaĭ Etsuko Bannai Hajime Tanaka Yan Zhu
+	Some bounds for the number of blocks III	2016	Etsuko Bannai Ryuzaburo Noda
+ PDF Chat	Relative t-designs in binary Hamming association scheme H(n, 2)	2016	Eiichi Bannaĭ Etsuko Bannai Yan Zhu
+ PDF Chat	On Relative $t$-Designs in Polynomial Association Schemes	2015	Eiichi Bannaĭ Etsuko Bannai Sho Suda Hajime Tanaka
+	Tight relative 2-designs on two shells in Johnson association schemes	2015	Yan Zhu Eiichi Bannaĭ Etsuko Bannai
+	A survey on tight Euclidean t-designs and tight relative t-designs in certain association schemes	2015	Eiichi Bannaĭ Etsuko Bannai Yan Zhu
+	More on spherical designs of harmonic index $t$	2015	Yan Zhu Eiichi Bannaĭ Etsuko Bannai Kyoung-Tark Kim Wei-Hsuan Yu
+	Relative t-designs in binary Hamming association scheme H(n,2)	2015	Eiichi Bannaĭ Etsuko Bannai Yan Zhu
+	Some Bounds for the Number of Blocks III	2014	Etsuko Bannai Ryuzaburo Noda
+	On the existence of tight relative 2-designs on binary Hamming association schemes	2013	Eiichi Bannaĭ Etsuko Bannai Hideo Bannai
+	t -Designs with the number of blocks close to the Fisher type lower bound	2013	Eiichi Bannaĭ Etsuko Bannai
+	On the existence of tight relative 2-designs on binary Hamming association schemes	2013	Eiichi Bannaĭ Etsuko Bannai Hideo Bannai
+	On the existence of tight relative 2-designs on binary Hamming association schemes	2013	Eiichi Bannaĭ Etsuko Bannai Hideo Bannai
+	Tight Relative 2- and 4-Designs on Binary Hamming Association Schemes	2012	Zengti Li Eiichi Bannaĭ Etsuko Bannai
+ PDF Chat	A New Euclidean Tight 6-Design	2012	Eiichi Bannaĭ Etsuko Bannai Junichi Shigezumi
+	Remarks on the concepts of t-designs	2012	Eiichi Bannaĭ Etsuko Bannai
+	Tight 9-designs on two concentric spheres	2011	Eiichi Bannaĭ Etsuko Bannai
+ PDF Chat	On the existence of minimum cubature formulas for Gaussian measure on ℝ2 of degree t supported by $[\frac{t}{4}]+1$ circles	2011	Eiichi Bannaĭ Etsuko Bannai Masatake Hirao Masanori Sawa
+	Tight 9-designs on two concentric spheres	2010	Eiichi Bannaĭ Etsuko Bannai
+	A new example of Euclidean tight 6-design	2010	Eiichi Bannaĭ Etsuko Bannai Junichi Shigezumi
+ PDF Chat	Euclidean designs and coherent configurations	2010	Eiichi Bannaĭ Etsuko Bannai
+	Tight 9-designs on two concentric spheres	2010	Eiichi Bannaĭ Etsuko Bannai
+	Cubature formulas in numerical analysis and Euclidean tight designs	2009	Eiichi Bannaĭ Etsuko Bannai Masatake Hirao Masanori Sawa
+	A survey on spherical designs and algebraic combinatorics on spheres	2009	Eiichi Bannaĭ Etsuko Bannai
+	Euclidean designs and coherent configurations	2009	Eiichi Bannaĭ Etsuko Bannai
+	New examples of Euclidean tight 4-designs	2008	Etsuko Bannai
+	On antipodal spherical t-designs of degree s with $t\geq 2s-3$	2008	Eiichi Bannaĭ Etsuko Bannai
+	Uniqueness of certain association schemes	2007	Eiichi Bannaĭ Etsuko Bannai Hideo Bannai
+	On the strong non-rigidity of certain tight Euclidean designs	2006	Eiichi Bannaĭ Etsuko Bannai Djoko Suprijanto
+ PDF Chat	On antipodal Euclidean tight (2e + 1)-designs	2006	Etsuko Bannai
+ PDF Chat	On Euclidean tight 4-designs	2006	Eiichi Bannaĭ Etsuko Bannai
+	On primitive symmetric association schemes with m_1=3	2006	Eiichi Bannaĭ Etsuko Bannai
+ PDF Chat	Tight Gaussian 4-Designs	2005	Eiichi Bannaĭ Etsuko Bannai
+	A note on the spherical embeddings of strongly regular graphs	2004	Eiichi Bannaĭ Etsuko Bannai
+	On optimal tight 4-designs on 2 concentric spheres	2004	Eiichi Bannaĭ Etsuko Bannai
+	An Upper Bound for the Cardinality of an s -Distance Set in Euclidean Space	2003	Etsuko Bannai Kazuki Kawasaki Yusuke Nitamizu Teppei Sato
+	None	2002	Etsuko Bannai Mitsuhiro Sawano
+	Bose-Mesner Algebras Associated with Four-Weight Spin Models	2001	Etsuko Bannai
+	Modular invariants of the modular data of finite groups (Codes, lattices, vertex operator algebras and finite groups)	2001	Eiichi Bannaĭ Etsuko Bannai Osamu Shimabukuro Makoto Tagami
+	On the Ring of Simultaneous Invariants for the Gleason–MacWilliams Group	1999	Eiichi Bannaĭ Etsuko Bannai Michio Ozeki Yasuo Teranishi
+ PDF Chat	None	1998	Etsuko Bannai Akihiro Munemasa
+ PDF Chat	None	1997	Eiichi Bannaĭ Etsuko Bannai François Jaeger
+	Modular invariance property and spin models attached to cyclic group association schemes	1996	Etsuko Bannai
+ PDF Chat	Generalized generalized spin models (four-weight spin models)	1995	Eiichi Bannaĭ Etsuko Bannai
+	REPRESENTATIONS OF MAPPING CLASS GROUPS OBTAINED FROM THE MODULAR INVARIANCE PROPERTY OF CYCLIC GROUP ASSOCIATION SCHEMES	1995	Etsuko Bannai
+ PDF Chat	None	1994	Eiichi Bannaĭ Etsuko Bannai
+ PDF Chat	GENERALIZED SPIN MODELS AND ASSOCIATION SCHEMES	1993	Eiichi Bannaĭ Etsuko Bannai
+	An upper bound for the cardinality of ans-distance subset in real euclidean space, II	1983	Eiichi Bannaĭ Etsuko Bannai Dennis Stanton
+	An upper bound for the cardinality of ans-distance subset in real euclidean space	1981	Eiichi Bannaĭ Etsuko Bannai
+	How many P-polynomial Structures can an Association Scheme have?	1980	Eiichi Bannaĭ Etsuko Bannai
+ PDF Chat	Fundamental groups of the spaces of regular orbits of the finite unitary reflection groups of dimension 2	1976	Etsuko Bannai
+	Fundamental Groups of the Spaces of Regular Orbits of Affine Weyl Groups of Rank 2 (超曲面の特異点)	1975	Etsuko Bannai
+	On some finite subgroups of $GL(n,Q)$	1973	Eiichi Bannaĭ Etsuko Bannai

Common Coauthors

Coauthor	Papers Together
Eiichi Bannaĭ	53
Yan Zhu	11
Wei-Hsuan Yu	4
Hajime Tanaka	4
Hideo Bannai	4
Djoko Suprijanto	3
Ziqing Xiang	3
Chin-Yen Lee	3
Ryuzaburo Noda	2
Wei-Hsuan Yu	2
Masanori Sawa	2
Junichi Shigezumi	2
Tatsuro Ito	2
Masatake Hirao	2
Kyoung-Tark Kim	2
Tanaka Rie	1
François Jaeger	1
Kazuki Kawasaki	1
Rie Tanaka	1
Hajime Tanaka	1
Osamu Shimabukuro	1
Akihiro Munemasa	1
Takuya Ikuta	1
Dennis Stanton	1
Yasuo Teranishi	1
Sho Suda	1
Mitsuhiro Sawano	1
Yusuke Nitamizu	1
Zengti Li	1
Teppei Sato	1
Kyoung-Tark Kim	1
Michio Ozeki	1
Makoto Tagami	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Spherical codes and designs	1977	P. Delsarte J.-M. Goethals J.J. Seidel	25
+	Discrete measures for spherical designs, eutactic stars and lattices	1988	Arnold Neumaier J.J. Seidel	24
+	Fisher type inequalities for Euclidean t-designs	1989	P. Delsarte J.J. Seidel	24
+ PDF Chat	On Euclidean tight 4-designs	2006	Eiichi Bannaĭ Etsuko Bannai	16
+	On Two-Distance Sets in Euclidean Space	1977	D Larman C. Rogers J.J. Seidel	14
+ PDF Chat	The nonexistence of certain tight spherical designs	2005	Eiichi Bannaĭ Akihiro Munemasa Boris Venkov	13
+ PDF Chat	Tight spherical designs, I	1979	Eiichi Bannaĭ R. M. Damerell	13
+	Distance-Regular Graphs	1989	Andries E. Brouwer Arjeh M. Cohen Arnold Neumaier	12
+	Distance-Regular Graphs	2011	Andries E. Brouwer Willem H. Haemers	12
+ PDF Chat	On antipodal Euclidean tight (2e + 1)-designs	2006	Etsuko Bannai	12
+	A survey on spherical designs and algebraic combinatorics on spheres	2009	Eiichi Bannaĭ Etsuko Bannai	11
+	Remarks on the concepts of t-designs	2012	Eiichi Bannaĭ Etsuko Bannai	11
+	New examples of Euclidean tight 4-designs	2008	Etsuko Bannai	10
+	Lower Bounds for the Number of Nodes in Cubature Formulae	1979	H. Michael Möller	10
+ PDF Chat	Nonexistence results for tight block designs	2012	Peter J. Dukes Jesse Short-Gershman	9
+ PDF Chat	On Relative $t$-Designs in Polynomial Association Schemes	2015	Eiichi Bannaĭ Etsuko Bannai Sho Suda Hajime Tanaka	8
+	A Fisher type inequality for weighted regular t-wise balanced designs	2012	Ziqing Xiang	8
+	Tight Spherical Disigns, II	1980	Eiichi Bannaĭ R. M. Damerell	8
+	Tight Relative 2- and 4-Designs on Binary Hamming Association Schemes	2012	Zengti Li Eiichi Bannaĭ Etsuko Bannai	8
+ PDF Chat	On knot invariants related to some statistical mechanical models	1989	Vaughan F. R. Jones	7
+	On the existence of tight relative 2-designs on binary Hamming association schemes	2013	Eiichi Bannaĭ Etsuko Bannai Hideo Bannai	7
+	Strongly regular graphs and spin models for the Kauffman polynomial	1992	Fran�ois Jaeger	7
+ PDF Chat	Euclidean designs and coherent configurations	2010	Eiichi Bannaĭ Etsuko Bannai	7
+	Averaging sets: A generalization of mean values and spherical designs	1984	Paul Seymour Thomas Zasĺavsky	6
+	Cubature formulas in numerical analysis and Euclidean tight designs	2009	Eiichi Bannaĭ Etsuko Bannai Masatake Hirao Masanori Sawa	6
+	On Euclidean designs	2006	Béla Bajnok	6
+	On $t$-designs	1975	D. K. Ray-Chaudhuri Richard M. Wilson	6
+ PDF Chat	Orbits of the hyperoctahedral group as Euclidean designs	2006	Béla Bajnok	5
+ PDF Chat	None	1994	Eiichi Bannaĭ Etsuko Bannai	5
+	A note on the spherical embeddings of strongly regular graphs	2004	Eiichi Bannaĭ Etsuko Bannai	5
+	New proofs of the Assmus–Mattson theorem based on the Terwilliger algebra	2008	Hajime Tanaka	5
+	Square λ-Linked Designs	1970	Douglas R. Woodall	5
+ PDF Chat	Uniqueness of Certain Spherical Codes	1988	Eiichi Bannaĭ N. J. A. Sloane	5
+	Universally optimal distribution of points on spheres	2006	Henry Cohn Abhinav Kumar	5
+	A survey on tight Euclidean t-designs and tight relative t-designs in certain association schemes	2015	Eiichi Bannaĭ Etsuko Bannai Yan Zhu	4
+ PDF Chat	Commutative association schemes	2009	William J. Martin Hajime Tanaka	4
+ PDF Chat	Spin models for link polynomials, strongly regular graphs and Jaeger’s Higman-Sims model	1994	Pierre de la Harpe	4
+ PDF Chat	Uniqueness of Certain Spherical Codes	1981	Eiichi Bannaĭ N. J. A. Sloane	4
+	Quadratic forms over GF(2)	1973	Peter J‎. Cameron J.J. Seidel	4
+ PDF Chat	None	1992	Paul Terwilliger	4
+ PDF Chat	On tight spherical designs	2013	Gabriele Nebe Boris Venkov	4
+	On the strong non-rigidity of certain tight Euclidean designs	2006	Eiichi Bannaĭ Etsuko Bannai Djoko Suprijanto	4
+	On cubature formulae of degree 4k+1 attaining M�ller's lower bound for integrals with circular symmetry	1992	Pierre Verlinden Ronald Cools	4
+	Spherical designs of harmonic index <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:mi>t</mml:mi></mml:math>	2014	Eiichi Bannaĭ Takayuki Okuda Makoto Tagami	4
+	BOUNDS FOR SYSTEMS OF LINES, AND JACOBI POLYNOMIALS	1991	P. Delsarte J.-M. Goethals J.J. Seidel	4
+ PDF Chat	Experimental Study of Energy-Minimizing Point Configurations on Spheres	2009	Brandon Ballinger Grigoriy Blekherman Henry Cohn Noah Giansiracusa Elizabeth M. Kelly Achill Schürmann	4
+ PDF Chat	Bounds on the maximum number of vectors with given scalar products	1985	Michel Deza Péter Frankl	4
+	Tight relative 2-designs on two shells in Johnson association schemes	2015	Yan Zhu Eiichi Bannaĭ Etsuko Bannai	4
+ PDF Chat	GENERALIZED SPIN MODELS AND ASSOCIATION SCHEMES	1993	Eiichi Bannaĭ Etsuko Bannai	3
+	t-designs in classical association schemes	1986	Dennis Stanton	3