Simplex Codes Over the Ring \sum_{n=0}^su^n F_2

Authors: MOHAMMED M. AL-ASHKER

Abstract: In this paper, we introduce simplex linear codes over the ring \sum_{n=0}^{n=s}u^n F_2 of types \alpha and \beta, where u^{s+1}=0. And we determine their properties. These codes are an extension and generalization of simplex codes over the ring Z_{2^s}.

Keywords: Simplex codes, chain rings, Z_{p^s}-codes and \sum_{n=0}^{n=s}u^n F_2-linear codes

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