Please use this identifier to cite or link to this item: http://scholarbank.nus.edu.sg/handle/10635/114313
Title: Decomposing quasi-cyclic codes
Authors: Ling, S. 
Solé, P.
Issue Date: 2000
Citation: Ling, S.,Solé, P. (2000). Decomposing quasi-cyclic codes. Electronic Notes in Discrete Mathematics 6 : 1-11. ScholarBank@NUS Repository.
Abstract: A new algebraic approach to quasi-cyclic codes is introduced. Technical tools include the Chinese Remainder Theorem, the Discrete Fourier Transform, Chain rings. The main results are a characterization of self-dual quasi-cyclic codes, a trace representation that generalizes that of cyclic codes, and an interpretation of the squaring and cubing construction (and of several similar combinatorial constructions). All extended quadratic residue codes of length a multiple of three are shown to be attainable by the cubing construction. Quinting and septing constructions are introduced.
Source Title: Electronic Notes in Discrete Mathematics
URI: http://scholarbank.nus.edu.sg/handle/10635/114313
ISSN: 15710653
Appears in Collections:Staff Publications

Show full item record
Files in This Item:
There are no files associated with this item.

Page view(s)

38
checked on Oct 19, 2018

Google ScholarTM

Check


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.