Repeated-root constacyclic codes of length klp over a finite field
نویسندگان
چکیده
منابع مشابه
Repeated-root constacyclic codes of length slmpn
For any different odd primes ` and p, structure of constacyclic codes of length 2`p over the finite field Fq of characteritic p and their duals is established in term of their generator polynomials. Among other results, the characterization and enumeration of all linear complimentary dual and self-dual constacylic codes of length 2`p are obtained.
متن کاملOn Repeated-Root Constacyclic Codes of Length $2^amp^r$ over Finite Fields
In this paper we investigate the structure of repeated root constacyclic codes of length 2mp over Fps with a ≥ 1 and (m, p) = 1. We characterize the codes in terms of their generator polynomials. This provides simple conditions on the existence of self-dual negacyclic codes. Further, we gave cases where the constacyclic codes are equivalent to cyclic codes.
متن کاملRepeated-root constacyclic codes of length $2\ell^mp^n$
For any different odd primes l and p, structure of constacyclic codes of length 2lp over a finite field Fq of characteritic p and their duals is established in term of their generator polynomials. Among other results, all linear complimentary dual and self-dual constacyclic codes of length 2lp over Fq are obtained.
متن کاملA class of constacyclic codes over a finite field
Article history: Received 11 April 2011 Revised 13 September 2011 Accepted 14 September 2011 Available online 28 September 2011 Communicated by Jacques Wolfmann
متن کاملMatrix-product structure of repeated-root constacyclic codes over finite fields
For any prime number p, positive integers m, k, n satisfying gcd(p, n) = 1 and λ0 ∈ F × pm, we prove that any λ p 0 -constacyclic code of length p n over the finite field Fpm is monomially equivalent to a matrix-product code of a nested sequence of p λ0-constacyclic codes with length n over Fpm.
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ژورنال
عنوان ژورنال: Finite Fields and Their Applications
سال: 2016
ISSN: 1071-5797
DOI: 10.1016/j.ffa.2016.06.006