Polynomial realization of sequential codes over finite fields

Abstract

In this paper we study the relation between polycyclic codes and sequential codes over finite fields. It is shown that, for a sequential code C ⊆ F, C is realized as an ideal in the quotient ring of the polynomial ring. Furthermore, we characterize the dual codes of polycyclic codes. AMS 2010 Mathematics Subject Classification. Primary 94B60; Secondary 94B15, 16D25.