1. Quasi-twisted codes with constacyclic constituent codes.
- Author
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Shi, Minjia and Zhang, Yiping
- Subjects
- *
QUASIANALYTIC functions , *CYCLIC codes , *CODING theory , *POLYNOMIALS , *MATHEMATICAL analysis - Abstract
Quasi-twisted codes are generalizations of the familiar linear quasi-cyclic codes. In this paper, an algebraic method is used to investigate the relationship between quasi-twisted codes and constacyclic codes. Moreover, a generator polynomial of a quasi-twisted code with constacyclic constituent codes is given. Meanwhile, the conditions for a quasi-twisted code C of index ℓ and length ℓm to be equivalent to a constacyclic code of length ℓm are obtained. Finally, some examples are presented to illustrate the discussed results. [ABSTRACT FROM AUTHOR]
- Published
- 2016
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