Proof of a conjecture on semiregular relative difference sets in Zp2× Zp2

Authors:
Yutaka Hiramine
Affiliations:
Department of Mathematics, Faculty of Education, Kumamoto University, Kurokami, Kumamoto, Japan
Venue:
Journal of Combinatorial Theory Series A
Year:
2006

Citing 3
Cited 0

On (pa, p, pa, pa−1)-relative difference sets

Designs, Codes and Cryptography
A unifying construction for difference sets

Journal of Combinatorial Theory Series A
Relative ( pa, pb, pa, pa-b-Difference Sets: A Unified Exponent Bound and a Local Ring Construction

Finite Fields and Their Applications

Quantified Score

Hi-index	0.00

Visualization

Abstract

In this article we show that there is no (p3, p, p3, p2)-difference set in Zp2 × Zp2 for all primes p 3. This is an affirmative answer to a conjecture raised by S.L. Ma and B. Schmidt.