Two Classes of Repeat-Root Constacyclic Codes of Length pS Over the Ring
نویسندگان
چکیده
منابع مشابه
Constacyclic Codes over Group Ring (Zq[v])/G
Recently, codes over some special finite rings especially chain rings have been studied. More recently, codes over finite non-chain rings have been also considered. Study on codes over such rings or rings in general is motivated by the existence of some special maps called Gray maps whose images give codes over fields. Quantum error-correcting (QEC) codes play a crucial role in protecting quantum ...
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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.
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Abstract We study the structure of constacyclic codes of length ps over the ring Fpk + uFpk + · · · + um−1Fpk in terms of ideals in the quotient ring (Fpk + uFpk + · · · + um−1Fpk)[x]/〈xp s − λ〉, where λ is a unit element in Fpk + uFpk + · · · + um−1Fpk . In particular, we complete a structural classification of constacyclic codes of length ps over Fpk + uFpk and determine their minimum Hamming...
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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 کاملGray Images of Constacyclic Codes over some Polynomial Residue Rings
Let be the quotient ring where is the finite field of size and is a positive integer. A Gray map of length over is a special map from to ( . The Gray map is said to be a ( )-Gray map if the image of any -constacyclic code over is a -constacyclic code over the field . In this paper we investigate the existence of ( )-Gray maps over . In this direction, we find an equivalent ...
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ژورنال
عنوان ژورنال: Information Technology Journal
سال: 2014
ISSN: 1812-5638
DOI: 10.3923/itj.2014.377.382