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On polycyclic codes over a finite chain ring
Published 19 Nov 2018 in cs.IT, math.IT, and math.RA | (1811.07975v1)
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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