New Constructions of Menon Difference Sets

Authors

K. T. Arasu
James A. Davis, University of RichmondFollow
Jonathan Jedwab
Surinder K. Sehgal

DOI

10.1016/0097-3165(93)90101-D

Abstract

Menon difference sets have parameters (4N², 2N² − N, N² − N). These have been constructed for N = 2^a3^b, 0 ⩽ a,b, but the only known constructions in abelian groups require that the Sylow 3-subgroup be elementary abelian (there are some nonabelian examples). This paper provides a construction of difference sets in higher exponent groups, and this provides new examples of perfect binary arrays.

Document Type

Article

Publication Date

11-1993

Publisher Statement

Copyright © 1993, Elsevier. This article first appeared in Journal of Combinatorial Theory, Series A: 64:2 (1993), 329-336.

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Recommended Citation

Arasu, K. T., James A. Davis, Jonathan Jedwab, and Surinder K. Sehgal. "New Constructions of Menon Difference Sets." Journal of Combinatorial Theory, Series A 64, no. 2 (November 1993): 329-36. doi: 10.1016/0097-3165(93)90101-D.