Turkish Journal of Mathematics
DOI
-
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
First Page
221
Last Page
234
Recommended Citation
AL-ASHKER, MOHAMMED M. (2005) "Simplex Codes Over the Ring \sum_{n=0}^su^n F_2," Turkish Journal of Mathematics: Vol. 29: No. 3, Article 2. Available at: https://journals.tubitak.gov.tr/math/vol29/iss3/2
