Turkish Journal of Mathematics
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}.
DOI
-
Keywords
Simplex codes, chain rings, Z_{p^s}-codes and \sum_{n=0}^{n=s}u^n F_2-linear codes
First Page
221
Last Page
234
Recommended Citation
AL-ASHKER, M. M (2005). Simplex Codes Over the Ring \sum_{n=0}^su^n F_2. Turkish Journal of Mathematics 29 (3): 221-234. https://doi.org/-