DocumentCode :
86866
Title :
Subclass of Cyclic Goppa Codes
Author :
Bezzateev, Sergey V. ; Shekhunova, Natalia A.
Author_Institution :
St. Petersburg Aerosp. Instrum. Univ., St. Petersburg, Russia
Volume :
59
Issue :
11
fYear :
2013
fDate :
Nov. 2013
Firstpage :
7379
Lastpage :
7385
Abstract :
The subclass of cyclic Goppa codes is proposed. It is proved that this subclass contains all cyclic codes of length n|qm±1 with generator polynomial g(x), g(αi)=g(α-j)=0, i=0,1,..., s1, j=1,..., s2, αn=1, α ∈ GF(q2m).
Keywords :
Goppa codes; cyclic codes; polynomials; cyclic Goppa codes; generator polynomial; Generators; Materials; Parity check codes; Polynomials; Redundancy; Vectors; Cyclic Goppa codes; Goppa codes; reversible Goppa codes;
fLanguage :
English
Journal_Title :
Information Theory, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9448
Type :
jour
DOI :
10.1109/TIT.2013.2278176
Filename :
6582528
Link To Document :
https://search.ricest.ac.ir/dl/search/defaultta.aspx?DTC=49&DC=86866
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