Let $\mathbb{Z}_p$ be the finite field of integers modulo $p$, where $p>3$ is a prime integer. This paper presents new constructions of linear codes over $\mathbb{Z}_p$. Based on our construction, linear codes of length $p-1$, including a wide family of MDS codes, and codes of length $(p-1)^2$ are constructed. we shall discuss the parameters of the codes defined while describing a generator matrix for the first family.
Rafieepour, A., & Mazrooei, M. (2020). SOME NEW CONSTRUCTIONS OF LINEAR CODES INCLUDING A WIDE FAMILY OF MDS CODES. Journal of Algebraic Systems, 7(2), 291-300. doi: 10.22044/jas.2019.7004.1343
MLA
A. Rafieepour; M. Mazrooei. "SOME NEW CONSTRUCTIONS OF LINEAR CODES INCLUDING A WIDE FAMILY OF MDS CODES". Journal of Algebraic Systems, 7, 2, 2020, 291-300. doi: 10.22044/jas.2019.7004.1343
HARVARD
Rafieepour, A., Mazrooei, M. (2020). 'SOME NEW CONSTRUCTIONS OF LINEAR CODES INCLUDING A WIDE FAMILY OF MDS CODES', Journal of Algebraic Systems, 7(2), pp. 291-300. doi: 10.22044/jas.2019.7004.1343
VANCOUVER
Rafieepour, A., Mazrooei, M. SOME NEW CONSTRUCTIONS OF LINEAR CODES INCLUDING A WIDE FAMILY OF MDS CODES. Journal of Algebraic Systems, 2020; 7(2): 291-300. doi: 10.22044/jas.2019.7004.1343
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