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ON POLYCYCLIC CODES OVER A FINITE CHAIN RING

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摘要

Galois images of polycyclic codes over a finite chain ring S and their annihilator dual are investigated. The case when a polycyclic code is Galois-disjoint over the ring S, is characterized and, the trace codes and restrictions of free polycyclic codes over S are also determined giving an analogue of Delsarte's theorem relating the trace code and the annihilator dual code.
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