CYCLIC AND LOCAL CYCLIC CODES OVER POLYNOMIAL RING

  • Nguyễn Bình

Abstract

Traditional cyclic codes are constructed on Ideals of Polynomial ring. Depending on simple technical implementation, these codes are used widely in practice. In this paper, a new class of linear codes is presented. They are called local cyclic codes (LCC). These codes are constructed on decompositions of polynomial ring according to the cyclic multiplicative groups. Traditional cyclic codes are considered as a subclass of Local Cyclic Codes.

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Published
2014-11-27
Section
Articles