Polycyclic codes over Galois rings with applications to repeated-root constacyclic codes
Copyright policy )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^a,m) and generating sets for its ideals are considered. Along with some structure details of the ambient ring, the existance of a certain type of generating set for an ideal is proven.
arXiv admin note: text overlap with arXiv:0906.4008
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FOS: Computer and information sciences, Algebra and Number Theory, Applied Mathematics, Computer Science - Information Theory, Information Theory (cs.IT), Mathematics - Rings and Algebras, Theoretical Computer Science, Rings and Algebras (math.RA), FOS: Mathematics, Engineering(all)
FOS: Computer and information sciences, Algebra and Number Theory, Applied Mathematics, Computer Science - Information Theory, Information Theory (cs.IT), Mathematics - Rings and Algebras, Theoretical Computer Science, Rings and Algebras (math.RA), FOS: Mathematics, Engineering(all)
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