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On polycyclic codes over a finite chain ring

by   Edgar Martínez-Moro, et al.
Universidad de Valladolid
Western Illinois University

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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