Title :
The depth spectrums of linear cyclic codes on ring ZPm
Author :
Zheng, Xi-ying ; Kong, Bo
Author_Institution :
Inst. of Inf. Eng., Huanghe Sci. & Technol. Coll., Zhengzhou, China
Abstract :
In this paper, the generator polynomial of linear cyclic codes on ring ZPm are studied, and we prove that the depth spectrum of linear cyclic codes Cl = (pl-1fl)(degfl = n-k, l = 1, 2 ···, m) has consisted exactly k non zero values and give the depth spectrum of linear cyclic codes on ring ZPm.
Keywords :
cyclic codes; linear codes; polynomials; depth spectrums; generator polynomial; linear cyclic codes; ring; Binary codes; Frequency modulation; Inspection; Linear code; Mathematical model; Polynomials; Depth distribution; Depth spectrum; Linear code; Linear cyclic code; generator polynomial;
Conference_Titel :
Information Computing and Telecommunications (YC-ICT), 2010 IEEE Youth Conference on
Conference_Location :
Beijing
Print_ISBN :
978-1-4244-8883-4
DOI :
10.1109/YCICT.2010.5713070
