# zbMATH — the first resource for mathematics

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 Documents Indexed: 38 Publications since 1979, including 2 Books
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#### Co-Authors

 20 single-authored 7 Seberry, Jennifer R. 2 Ito, Tatsuro 2 Momihara, Koji 2 Shiratani, Katsumi 2 Yamamoto, Koichi 1 Cohen, Gavin 1 Finlayson, Ken 1 Fuji-Hara, Ryoh 1 Ishibashi, Haruo 1 Koukouvinos, Christos 1 Kounias, Stratis 1 Lee, Moon Ho 1 Munemasa, Akihiro 1 Rubie, David 1 Shinoda, Koichi
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#### Serials

 5 The Australasian Journal of Combinatorics 3 Discrete Mathematics 3 European Journal of Combinatorics 3 Graphs and Combinatorics 3 JCMCC. The Journal of Combinatorial Mathematics and Combinatorial Computing 2 Utilitas Mathematica 2 Designs, Codes and Cryptography 2 RIMS Kokyuroku 1 Discrete Applied Mathematics 1 Ars Combinatoria 1 Colloquium Mathematicum 1 Commentarii Mathematici Universitatis Sancti Pauli 1 Journal of Combinatorial Theory. Series A 1 Journal of the Mathematical Society of Japan 1 Journal of Statistical Planning and Inference 1 Proceedings of the Japan Academy. Series A 1 Combinatorica 1 Journal of the Australian Mathematical Society. Series A
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#### Fields

 33 Combinatorics (05-XX) 8 Number theory (11-XX) 3 Information and communication theory, circuits (94-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 1 General and overarching topics; collections (00-XX) 1 Field theory and polynomials (12-XX) 1 Statistical mechanics, structure of matter (82-XX)

#### Citations contained in zbMATH Open

27 Publications have been cited 199 times in 167 Documents Cited by Year
Hadamard matrices, sequences, and block designs. Zbl 0776.05028
1992
Amorphous association schemes over the Galois rings of characteristic 4. Zbl 0762.05098
Ito, Tatsuro; Munemasa, Akihiro; Yamada, Mieko
1991
Williamson Hadamard matrices and Gauss sums. Zbl 0584.05016
1985
On the products of Hadamard matrices, Williamson matrices and other orthogonal matrices using M-structures. Zbl 0725.05026
1990
Distance-regular digraphs of girth 4 over an extension ring of Z/4Z. Zbl 0721.05028
1990
Hadamard difference sets over an extension of $$\mathbb Z/4\mathbb Z$$. Zbl 0725.05020
1988
On a series of Hadamard matrices of order $$2^ t$$ and the maximal excess of Hadamard matrices of order $$2^{2t}$$. Zbl 0668.05013
1988
Perfect difference systems of sets and Jacobi sums. Zbl 1191.05025
Fuji-Hara, Ryoh; Momihara, Koji; Yamada, Mieko
2009
Terwilliger algebras of cyclotomic schemes and Jacobi sums. Zbl 0944.05101
Ishibashi, Haruo; Ito, Tatsuro; Yamada, Mieko
1999
Supplementary difference sets and Jacobi sums. Zbl 0776.05021
1992
On the Williamson type j matrices of orders $$4\cdot 29$$, $$4\cdot 41$$, and $$4\cdot 37$$. Zbl 0432.05015
1979
Difference sets over Galois rings with odd extension degrees and characteristic an even power of 2. Zbl 1273.05018
2013
A survey of base sequences, disjoint complementary sequences and $$\text{OD}(4t;t,t,t,t)$$. Zbl 0675.05015
Cohen, Gavin; Rubie, David; Seberry, Jennifer; Koukouvinos, Christos; Kounias, Stratis; Yamada, Mieko
1989
Hadamard matrices of generalized quaternion type. Zbl 0725.05028
1991
Some new series of Hadamard matrices. Zbl 0695.05014
1989
The construction of four-weight spin models by using Hadamard matrices and $$M$$-structures. Zbl 0818.05065
1994
On the Williamson matrices of Turyn’s type and of type j. Zbl 0497.05019
1982
A family of Hadamard matrices of dihedral group type. Zbl 0943.05026
2000
Self-dual $$\mathbb Z_4$$-codes of type IV generated by skew-Hadamard matrices and conference matrices. Zbl 1153.05015
2008
Supplementary difference sets constructed from $$(q+1)$$st cyclotomic classes in $$\text{GF}(q^2)$$. Zbl 1155.05008
2007
Jacket matrices constructed from Hadamard matrices and generalized Hadamard matrices. Zbl 1100.05013
Finlayson, Ken; Lee, Moon Ho; Seberry, Jennifer; Yamada, Mieko
2006
Difference sets over the Galois ring $$\text{GR}(2^n,2)$$. Zbl 1010.05011
2002
On rationality of Jacobi sums. Zbl 0969.11029
1997
Hadamard matrices and spin models. Zbl 0855.05038
1996
Amicable Hadamard matrices and amicable orthogonal designs. Zbl 0762.05027
1991
Supplementary relative difference sets and their applications to Hadamard matrices. Zbl 0732.05015
1988
Hadamard matrices generated by an adaptation of generalized quaternion type array. Zbl 0591.05013
1986
Difference sets over Galois rings with odd extension degrees and characteristic an even power of 2. Zbl 1273.05018
2013
Perfect difference systems of sets and Jacobi sums. Zbl 1191.05025
Fuji-Hara, Ryoh; Momihara, Koji; Yamada, Mieko
2009
Self-dual $$\mathbb Z_4$$-codes of type IV generated by skew-Hadamard matrices and conference matrices. Zbl 1153.05015
2008
Supplementary difference sets constructed from $$(q+1)$$st cyclotomic classes in $$\text{GF}(q^2)$$. Zbl 1155.05008
2007
Jacket matrices constructed from Hadamard matrices and generalized Hadamard matrices. Zbl 1100.05013
Finlayson, Ken; Lee, Moon Ho; Seberry, Jennifer; Yamada, Mieko
2006
Difference sets over the Galois ring $$\text{GR}(2^n,2)$$. Zbl 1010.05011
2002
A family of Hadamard matrices of dihedral group type. Zbl 0943.05026
2000
Terwilliger algebras of cyclotomic schemes and Jacobi sums. Zbl 0944.05101
Ishibashi, Haruo; Ito, Tatsuro; Yamada, Mieko
1999
On rationality of Jacobi sums. Zbl 0969.11029
1997
Hadamard matrices and spin models. Zbl 0855.05038
1996
The construction of four-weight spin models by using Hadamard matrices and $$M$$-structures. Zbl 0818.05065
1994
Hadamard matrices, sequences, and block designs. Zbl 0776.05028
1992
Supplementary difference sets and Jacobi sums. Zbl 0776.05021
1992
Amorphous association schemes over the Galois rings of characteristic 4. Zbl 0762.05098
Ito, Tatsuro; Munemasa, Akihiro; Yamada, Mieko
1991
Hadamard matrices of generalized quaternion type. Zbl 0725.05028
1991
Amicable Hadamard matrices and amicable orthogonal designs. Zbl 0762.05027
1991
On the products of Hadamard matrices, Williamson matrices and other orthogonal matrices using M-structures. Zbl 0725.05026
1990
Distance-regular digraphs of girth 4 over an extension ring of Z/4Z. Zbl 0721.05028
1990
A survey of base sequences, disjoint complementary sequences and $$\text{OD}(4t;t,t,t,t)$$. Zbl 0675.05015
Cohen, Gavin; Rubie, David; Seberry, Jennifer; Koukouvinos, Christos; Kounias, Stratis; Yamada, Mieko
1989
Some new series of Hadamard matrices. Zbl 0695.05014
1989
Hadamard difference sets over an extension of $$\mathbb Z/4\mathbb Z$$. Zbl 0725.05020
1988
On a series of Hadamard matrices of order $$2^ t$$ and the maximal excess of Hadamard matrices of order $$2^{2t}$$. Zbl 0668.05013
1988
Supplementary relative difference sets and their applications to Hadamard matrices. Zbl 0732.05015
1988
Hadamard matrices generated by an adaptation of generalized quaternion type array. Zbl 0591.05013
1986
Williamson Hadamard matrices and Gauss sums. Zbl 0584.05016
1985
On the Williamson matrices of Turyn’s type and of type j. Zbl 0497.05019
1982
On the Williamson type j matrices of orders $$4\cdot 29$$, $$4\cdot 41$$, and $$4\cdot 37$$. Zbl 0432.05015
1979
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#### Cited by 192 Authors

 17 Koukouvinos, Christos 16 Đoković, Dragomir Ž. 15 Seberry, Jennifer R. 11 Yamada, Mieko 10 Momihara, Koji 7 Kotsireas, Ilias S. 5 Kharaghani, Hadi 5 Xiang, Qing 4 de Launey, Warwick 4 Kounias, Stratis 4 Ma, Jianmin 4 Munemasa, Akihiro 4 Xia, Mingyuan 3 Chisaki, Shoko 3 Craigen, Robert 3 Davis, James Avery 3 Egan, Ronan 3 Leung, Ka Hin 3 Miyamoto, Nobuko 3 Stylianou, Stella 3 Terwilliger, Paul M. 2 Barrera Acevedo, Santiago 2 Calderbank, Arthur Robert 2 Chen, Yuqing 2 Dietrich, Heiko 2 Evdokimov, Sergeĭ Alekseevich 2 Feng, Keqin 2 Gao, Suogang 2 Georgiou, Stelios D. 2 Horadam, Kathy J. 2 Hou, Bo 2 Ikuta, Takuya 2 Jaeger, François 2 Jørgensen, Palle E. T. 2 Klee, Victor LaRue 2 Martini, Horst 2 Muzychuk, Mikhail E. 2 Polhill, John B. 2 Ponomarenko, Ilya Nikolaevich 2 Simos, Dimitris E. 2 Sloane, Neil James Alexander 2 Solé, Patrick 2 Suda, Sho 2 Van Dam, Edwin Robert 2 Wang, Kaishun 2 Xia, Tianbing 1 Adams, Joshua 1 Aggarwal, Manohar L. 1 Alaca, Şaban 1 Alvarez, Victor 1 Aoki, Satoshi 1 Arasu, Krishnasamy Thiru 1 Armario, José ándrés 1 Baftani, Farzaneh Farhang 1 Balakrishnan, Narayanaswamy 1 Balonin, N. A. 1 Bamberg, John 1 Bannai, Eiichi 1 Bannai, Etsuko 1 Best, Darcy 1 Bouyukliev, Iliya Georgiev 1 Caro-Lopera, Francisco José 1 Caughman, John S. IV 1 Chaderjian, Anie 1 Chan, Ada 1 Chen, Yu Qing 1 Chen, Zhu 1 Chung, Habong 1 Claasen, Henk L. 1 Crnković, Dean 1 Curtin, Brian 1 Daqqa, Ibtisam 1 Dutkay, Dorin Ervin 1 Evangelaras, Haralambos 1 Fack, Veerle 1 Falcón Ganfornina, Raúl Manuel 1 Fan, Cuiling 1 Fender, Kai 1 Feng, Gui-Liang 1 Feng, Tao 1 Flannery, Dane Laurence 1 Fokkink, Robbert Johan 1 Frau, María Dolores 1 Fuji-Hara, Ryoh 1 Fujisaki, Tatsuya 1 Gao, Xiaojuan 1 Godsil, Christopher David 1 Goldbach, R. W. 1 González, Luis E. 1 Gritzmann, Peter 1 Gudiel, Félix 1 Hacıoğlu, İlhan 1 Hammons, A. Roger jun. 1 Hiramine, Yutaka 1 Holzmann, Wolfgang H. 1 Hudelson, Matthew G. 1 Ishibashi, Haruo 1 Ito, Noboru 1 Ito, Tatsuro 1 Ivanov, Denis Nikolaevich ...and 92 more Authors
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#### Cited in 47 Serials

 21 Discrete Mathematics 19 Designs, Codes and Cryptography 15 Journal of Combinatorial Theory. Series A 10 Journal of Statistical Planning and Inference 9 European Journal of Combinatorics 9 Graphs and Combinatorics 7 Linear Algebra and its Applications 7 Journal of Algebraic Combinatorics 5 Discrete Applied Mathematics 5 Finite Fields and their Applications 4 Special Matrices 3 Statistics & Probability Letters 3 Combinatorica 3 Cryptography and Communications 2 Bulletin of the American Mathematical Society. New Series 2 Computational Statistics and Data Analysis 2 Indagationes Mathematicae. New Series 2 The Australasian Journal of Combinatorics 2 Journal of Mathematical Sciences (New York) 2 Journal of Combinatorial Designs 2 Annals of Combinatorics 2 Mathematics in Computer Science 2 Journal of Statistical Theory and Practice 2 International Journal of Combinatorics 1 Linear and Multilinear Algebra 1 Mathematics of Computation 1 Beiträge zur Algebra und Geometrie 1 Journal of Algebra 1 Journal of Multivariate Analysis 1 Osaka Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 Proceedings of the Japan Academy. Series A 1 Theoretical Computer Science 1 Journal of Symbolic Computation 1 Constructive Approximation 1 Facta Universitatis. Series Mathematics and Informatics 1 Numerical Algorithms 1 Aequationes Mathematicae 1 Expositiones Mathematicae 1 St. Petersburg Mathematical Journal 1 Mathematical Problems in Engineering 1 Abstract and Applied Analysis 1 Journal of Combinatorial Optimization 1 Proceedings of the Japan Academy 1 Science China. Mathematics 1 Symmetry 1 Korean Journal of Mathematics
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#### Cited in 29 Fields

 141 Combinatorics (05-XX) 17 Number theory (11-XX) 16 Information and communication theory, circuits (94-XX) 15 Statistics (62-XX) 14 Linear and multilinear algebra; matrix theory (15-XX) 10 Group theory and generalizations (20-XX) 7 Convex and discrete geometry (52-XX) 6 Commutative algebra (13-XX) 5 Computer science (68-XX) 3 Nonassociative rings and algebras (17-XX) 3 Measure and integration (28-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Geometry (51-XX) 3 Operations research, mathematical programming (90-XX) 2 Field theory and polynomials (12-XX) 2 Associative rings and algebras (16-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Differential geometry (53-XX) 1 Probability theory and stochastic processes (60-XX) 1 Numerical analysis (65-XX) 1 Quantum theory (81-XX)