A Series of Regular Hadamard Matrices
Tóm tắt
Let p and 2p−1 be prime powers and p ≡ 3 (mod 4). Then there exists a symmetric design with parameters (4p2, 2p2 − p, p2 − p). Thus there exists a regular Hadamard matrix of order 4p2.
Tài liệu tham khảo
E. Lander (1983) Symmetric Designs: An Algebraic Approach Cambridge University Press Cambridge
K. H. Leung, S. L. Ma and B. Schmidt, New Hadamard matrices of order 4p2 obtained from Jacobi sums of order 16, preprint.
W. D. Wallis A. P. Street J. S. Wallis (1972) Combinatorics: Room Squares, Sum-Free Sets, Hadamard Matrices Springer-Verlag Berlin–Heidelberg–New York
T. Xia M. Xia J. Seberry (2003) ArticleTitleRegular Hadamard matrices, maximum excess and SBIBD Australasian Journal of Combinatorics 27 263–275 Occurrence Handle2003m:05043