One-Sided $k$-Orthogonal Matrices Over Finite Semi-Local Rings And Their Codes

Virgilio P. Sison, Charles R. Repizo

Let $R$ be a finite commutative ring with unity $1_R$ and $k\in R$. Properties of one-sided $k$-orthogonal $n\times n$ matrices over $R$ are presented. When $k$ is idempotent, th…