Can I read Polycyclic codes over Galois rings with applications to repeated-root constacyclic codes on EtoBox?

Polycyclic codes over Galois rings with applications to repeated-root constacyclic codes by Lopez-Permouth, Sergio R.; Ozadam, Hakan; Ozbudak, Ferruh; Szabo, Steve is a scholarly article available to read on EtoBox.

What is Polycyclic codes over Galois rings with applications to repeated-root constacyclic codes about?

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.

Author

Lopez-Permouth, Sergio R.; Ozadam, Hakan; Ozbudak, Ferruh; Szabo, Steve

Published

2012

Language

EN