A Ring Theoretic Construction of Hadamard Difference Sets in ℤ8n×ℤ2n

• Authors: Xiang-Dong Hou
• Venue: Journal of Algebraic Combinatorics: An International Journal
• Year: 2005

Let $$S={\rm GR}(2^3, n)$$ be the Galois ring of characteristic 23 and rank n and let $$R=S[X]/(X^2,\,2X-4)$$. We give an explicit construction of Hadamard difference sets in $$(R,+)\cong{\Bbb Z}_8^n\times{\Bbb Z}_2^n$$.}