Repeated-root constacyclic codes of prime power length over Fpm[u]〈ua〉 and their duals
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.
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Cyclic, negacyclic and constacyclic codes are part of a larger class of codes called polycyclic codes; namely, those codes which can be viewed as ideals of a factor ring of a polynomial ring. The structure of the ambient ring of polycyclic codes over GR(p,m) and generating sets for its ideals are considered. It is shown that these generating sets are strong Groebner bases. A method for finding ...
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ژورنال
عنوان ژورنال: Discrete Mathematics
سال: 2016
ISSN: 0012-365X
DOI: 10.1016/j.disc.2016.01.020