Hadamard and Conference Matrices

Authors

• K. T. Arasu, Wright State University - Main CampusFollow
• Yu Qing Chen, RMIT-City Campus
• Alexander Pott, Otto-von-Guericke-University Magdeburg

Document Type

Article

Publication Date

9-1-2001

Abstract

This paper presents new constructions of Hadamard and conference matrices using relative difference sets. The authors provide the first known example of a relative (n,2,n−1,n−22)(n,2,n-1,\frac{n-2}{2})(n,2,n−1,2n−2​)-difference set in the case where n−1n - 1n−1 is not a prime power, expanding the known theory connecting relative difference sets with combinatorial matrix constructions.

Repository Citation

Arasu, K. T., Chen, Y. Q., & Pott, A. (2001). Hadamard and Conference Matrices. Journal of Algebraic Combinatorics, 14 (2), 103-117.
https://corescholar.libraries.wright.edu/math/560

DOI

10.1023/A:1011929727176