Symbol-triple distance of repeated-root constacyclic codes of prime power lengths
https://doi.org/10.1142/S0219498820502096Publisher, magazine: ,
Publication year: 2020
Lưu Trích dẫn Chia sẻAbstract
Let p be an odd prime, s and m be positive integers and λ be a nonzero element of Fpm. The λ-constacyclic codes of length ps over Fpm are linearly ordered under set theoretic inclusion as ideals of the chain ring Fpm[x]/⟨xps−λ⟩. Using this structure, the symbol-triple distances of all such λ-constacyclic codes are established in this paper. All maximum distance separable symbol-triple constacyclic codes of length ps are also determined as an application.
Tags: constacyclic codes; symbol-triple distance; MDS codes; chain rings
Các bài viết liên quan đến tác giả Đinh Quang Hải
Some results on self-injective rings and $\Sigma$-CS rings
A decomposition theorem for $\wp\sp *$-semisimple rings
On the b-distance of repeated-root constacyclic codes of prime power lengths
Symbol-triple distance of repeated-root constacyclic codes of prime power lengths
Optimal b-symbol constacyclic codes with respect to the Singleton bound
On matrix-product structure of repeated-root constacyclic codes over finite fields
Construction and enumeration for self-dual cyclic codes of even length over F2m+uF2m
On a Class of Constacyclic Codes of Length 4ps over Fpm[u]?ua?