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On Optimal and Quantum Code Construction from Cyclic Codes over F sub.qIPQ/I with Applications
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On Optimal and Quantum Code Construction from Cyclic Codes over F sub.qIPQ/I with Applications
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Journal Article
On Optimal and Quantum Code Construction from Cyclic Codes over F sub.qIPQ/I with Applications
2023
Overview
The key objective of this paper is to study the cyclic codes over mixed alphabets on the structure of F[sub.q]PQ, where P=Fq[v]/〈v3−α22v〉 and Q=Fq[u,v]/〈u2−α12,v3−α22v〉 are nonchain finite rings and α[sub.i] is in F[sub.q]/0 for i∈1,2, where q=p[sup.m] with m≥1 is a positive integer and p is an odd prime. Moreover, with the applications, we obtain better and new quantum error-correcting (QEC) codes. For another application over the ring P, we obtain several optimal codes with the help of the Gray image of cyclic codes.
Publisher
MDPI AG
Subject
