Abstract
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.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
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
Author information
Authors and Affiliations
Corresponding author
Additional information
Communicated by: P. Wild
Rights and permissions
About this article
Cite this article
Crnković, D. A Series of Regular Hadamard Matrices. Des Codes Crypt 39, 247–251 (2006). https://doi.org/10.1007/s10623-005-3634-3
Received:
Revised:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/s10623-005-3634-3