DocumentCode
3531310
Title
A Family of Quadratic Residue Codes over Z2m
Author
Xiaoqing Tan
Author_Institution
Dept. of Math., Jinan Univ., Guangzhou, China
fYear
2013
fDate
9-11 Sept. 2013
Firstpage
236
Lastpage
240
Abstract
A cyclic code of length n over the ring Z2m of integer of modulo 2m is a linear code with property that if the codeword (c0, c1, cn-1) in ∈ C then the cyclic shift (c1, c2, c0) in math ∈ C. Quadratic residue (abbreviated QR) codes are a particularly interesting family of cyclic codes. We define such family of codes in terms of their idem potent generators and show that these codes also have many good properties which are analogous in many respects to properties of binary QR codes. Such codes constructed are self-orthogonal. And we also discuss their minimum hamming weight.
Keywords
codes; binary QR codes; codeword; cyclic code; cyclic shift; idempotent generators; minimum hamming weight; quadratic residue codes; Educational institutions; Generators; Hamming weight; Linear codes; Polynomials; Vectors; Generators of $Z_{2^{m}}$-cyclic codes; idempotents of $Z_{2^{m}}$-cyclic codes; quadratic residue codes; self-orthogonal codes;
fLanguage
English
Publisher
ieee
Conference_Titel
Emerging Intelligent Data and Web Technologies (EIDWT), 2013 Fourth International Conference on
Conference_Location
Xi´an
Print_ISBN
978-1-4799-2140-9
Type
conf
DOI
10.1109/EIDWT.2013.46
Filename
6631624
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