Title :
A classification of linear codes based on algebraic structures and Local Cyclic Codes
Author :
Hieu Nguyen Trung ; Trung Nguyen Van ; Binh Nguyen
Author_Institution :
Fac. of Electron. Eng. 1, Posts & Telecommun. Inst. of Technol., Hanoi, Vietnam
Abstract :
In this paper, a view point of classification of linear codes based on algebraic structure and Local Cyclic Codes is presented. Linear codes are divided into two types (structural and non-structural); almost all these codes are used widely in practice. Local Cyclic Codes are described in relation with other linear codes. 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.
Keywords :
cyclic codes; linear codes; matrix decomposition; polynomial approximation; algebraic structure; cyclic multiplicative groups; linear codes; local cyclic codes; polynomial ring decompositions; Clocks; Compounds; Decoding; Generators; Linear codes; Polynomials; Registers; Cyclic Multiplicative Group (CMG); Decomposition; Local Cyclic code (LCC); Polynomial Ring;
Conference_Titel :
Advanced Technologies for Communications (ATC), 2014 International Conference on
Print_ISBN :
978-1-4799-6955-5
DOI :
10.1109/ATC.2014.7043410
