Construction of orthogonal starters and its consequences

• Date: 1992
• Main Authors: Nazarok , A. V., Назарок , А. В.
• Format: Article
• Language: Russian
• Published: Institute of Mathematics, NAS of Ukraine 1992
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/7962
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

A method is proposed for constructing a system of (v−1)/2 pairwise disjoint orthogonal starters of order v for v ≡ 6k+1 ≡ 7 (mod 12) ≡ p ≡ (n2+n+1)/t such that the number 3 is one of the primitive roots of the Galois field of prime order p (k is prime, k ≠ 2, and n and t are positive integers). The...