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arXiv · 1811.07975

On polycyclic codes over a finite chain ring

Edgar Martínez-Moro·Alexandre Fotue·Thomas Blackford
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Abstract

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

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Edgar Martínez-Moro, Alexandre Fotue, Thomas Blackford. 2018-11-19. On polycyclic codes over a finite chain ring. https://arxiv.org/abs/1811.07975

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