Skew constacyclic codes over finite chain rings
نویسندگان
چکیده
منابع مشابه
Skew constacyclic codes over finite chain rings
Skew polynomial rings over finite fields ([7] and [10]) and over Galois rings ([8]) have been used to study codes. In this paper, we extend this concept to finite chain rings. Properties of skew constacyclic codes generated by monic right divisors of x − λ, where λ is a unit element, are exhibited. When λ = 1, the generators of Euclidean and Hermitian dual codes of such codes are determined tog...
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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: Advances in Mathematics of Communications
سال: 2012
ISSN: 1930-5346
DOI: 10.3934/amc.2012.6.39