On the construction of constacyclically permutable codes from constacyclic codes
Copyright policy )On the construction of constacyclically permutable codes from constacyclic codes
<abstract><p>In this paper, we propose a way to partition any constacyclic code over a finite field in its equivalence classes according to the algebraic structure of the code. Such a method gives the generalization of cyclically permutable codes (CPCs), which are called constacyclically permutable codes (CCPCs), and it is useful to derive a CCPC from a given constacyclic code. Moreover, we present an enumerative formula for the code size of such a CCPC, with all of the terms being positive integers, and we provide an algebraic method to produce such a CCPC.</p></abstract>
- Suqian University China (People's Republic of)
QA1-939, constacyclic code, constacyclically permutable code, group action, primitive idempotent, Mathematics
QA1-939, constacyclic code, constacyclically permutable code, group action, primitive idempotent, Mathematics
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