Hadamard ideals and Hadamard matrices with two circulant cores

European Journal of Combinatorics

Volumn 27, Issue 5, 2006, Pages 658-668

  Kotsireas, Ilias S ^a   Koukouvinos, Christos ^b   Seberry, Jennifer ^c  

^a WILFRID LAURIER UNIVERSITY   (Canada)

^b NATIONAL TECHNICAL UNIVERSITY OF ATHENS   (Greece)

^c UNIVERSITY OF WOLLONGONG   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33645851327     PISSN: 01956698     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ejc.2005.03.004     Document Type: Article

References (17)

1. G. Bailey, Hadamard matrices, in: J. Cannon, W. Bosma (Eds.), Handbook of Magma Functions, Version 2.11, Sydney, 2004, pp. 3456-3462 (Chapter 112)
2. D. Cox J. Little D. O'Shea Ideals, Varieties, and Algorithms: An Introduction to Computational Algebraic Geometry and Commutative Algebra UTM 1992 Springer-Verlag New York
3. R.J. Fletcher M. Gysin J. Seberry Application of the discrete Fourier transform to the search for generalised Legendre pairs and Hadamard matrices Australas. J. Combin. 23 2001 75-86
4. S. Georgiou C. Koukouvinos On equivalence of Hadamard matrices and projection properties Ars Combin. 69 2003 79-95
5. S. Georgiou C. Koukouvinos On generalized Legendre pairs and multipliers of the corresponding supplementary difference sets Util. Math. 61 2002 47-63
6. S. Georgiou C. Koukouvinos J. Seberry Hadamard matrices, orthogonal designs and construction algorithms W.D. Wallis Designs 2002: Further Computational and Constructive Design Theory 2003 Kluwer Academic Publishers Norwell, MA 133-205
7. A.V. Geramita J. Seberry Orthogonal designs: Quadratic forms and Hadamard matrices 1979 Marcel Dekker New York, Basel
8. M. Gysin J. Seberry An experimental search and new combinatorial designs via a generalization of cyclotomy J. Combin. Math. Combin. Comput. 27 1998 143-160
9. I.S. Kotsireas, C. Koukouvinos, J. Seberry, Hadamard ideals and Hadamard matrices with circulant core. J. Combin. Math. Combin. Comput. (2005) (in press)
10. J. Cooper J. Milas W.D. Wallis Hadamard equivalence Combinatorial Mathematics Lecture Notes in Mathematics vol. 686 1978 Springer-Verlag Berlin, Heidelberg, New York 126-135
11. R.E.A.C. Paley On orthogonal matrices J. Math. Phys. 12 1933 311-320
12. M.R. Schroeder Number Theory in Science and Communication 1984 Springer-Verlag New York
13. J. Seberry M. Yamada Hadamard matrices, sequences, and block designs J.H. Dinitz D.R. Stinson Contemporary Design Theory: A Collection of Surveys 1992 John Wiley New York 431-560
14. R.G. Stanton D.A. Sprott A family of difference sets Canad. J. Math. 10 1958 73-77
15. B. Sturmfels Solving Systems of Polynomial Equations CBMS Regional Conference Series in Mathematics vol. 97 2002 American Mathematical Society
16. W.D. Wallis A.P. Street J.S. Wallis Combinatorics: Room Squares, Sum-Free Sets, Hadamard matrices Lecture Notes in Mathematics vol. 292 1972 Springer-Verlag
17. A.L. Whiteman A family of difference sets Illinois J. Math. 6 1962 107-121