Polycyclic codes over Galois rings with applications to repeated-root constacyclic codes
نویسندگان
چکیده
منابع مشابه
Polycyclic codes over Galois rings with applications to repeated-root constacyclic codes
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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Repeated root Cyclic and Negacyclic codes over Galois rings have been studied much less than their simple root counterparts. This situation is beginning to change. For example, repeated root codes of length p, where p is the characteristic of the alphabet ring, have been studied under some additional hypotheses. In each one of those cases, the ambient space for the codes has turned out to be a ...
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ژورنال
عنوان ژورنال: Finite Fields and Their Applications
سال: 2013
ISSN: 1071-5797
DOI: 10.1016/j.ffa.2012.10.002