منابع مشابه
Constacyclic Codes over $F_p+vF_p$
In this paper, we study constacyclic codes over Fp+vFp, where p is an odd prime and v = v. The polynomial generators of all constacyclic codes over Fp + vFp are characterized and their dual codes are also determined.
متن کاملConstacyclic codes over finite fields
An equivalence relation called isometry is introduced to classify constacyclic codes over a finite field; the polynomial generators of constacyclic codes of length lp are characterized, where p is the characteristic of the finite field and l is a prime different from p.
متن کاملConstacyclic 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 ...
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 ...
متن کاملSkew constacyclic codes over Galois rings
We generalize the construction of linear codes via skew polynomial rings by using Galois rings instead of finite fields as coefficients. The resulting non commutative rings are no longer left and right Euclidean. Codes that are principal ideals in quotient rings of skew polynomial rings by a two sided ideals are studied. As an application, skew constacyclic self-dual codes over GR(4) are constr...
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ژورنال
عنوان ژورنال: International journal of informatics and applied mathematics
سال: 2023
ISSN: ['2667-6990']
DOI: https://doi.org/10.53508/ijiam.1127019