English

On polycyclic codes over a finite chain ring

Information Theory 2018-11-21 v1 math.IT Rings and Algebras

Abstract

Galois images of polycyclic codes over a finite chain ring SS and their annihilator dual are investigated. The case when a polycyclic codes is Galois-disjoint over the ring S,S, is characterized and, the trace codes and restrictions of free polycyclic codes over SS are also determined givind an analogue of Delsarte theorem among trace map, any S -linear code and its annihilator dual.

Keywords

Cite

@article{arxiv.1811.07975,
  title  = {On polycyclic codes over a finite chain ring},
  author = {Edgar Martínez-Moro and Alexandre Fotue and Thomas Blackford},
  journal= {arXiv preprint arXiv:1811.07975},
  year   = {2018}
}

Comments

Submitted to AMC. S.I. LAWCI

R2 v1 2026-06-23T05:21:25.702Z