DocumentCode
2054190
Title
Quasicyclic irreducible Goppa codes
Author
Ryan, John A. ; Fitzpatrick, Patrick
Author_Institution
Dept. of Math., Mzuzu Univ., Malawi
fYear
2004
fDate
27 June-2 July 2004
Firstpage
183
Abstract
We establish the existence and give constructions of two new classes of quasicyclic irreducible Goppa codes. We give simple numerical conditions on the degree of the Goppa polynomial and length of an irreducible Goppa code which are sufficient conditions for it to be a member of one of these classes.
Keywords
Goppa codes; cryptography; cyclic codes; polynomial matrices; Goppa polynomial degree; quasicyclic irreducible Goppa code; Character generation; Cryptography; Educational institutions; Informatics; Mathematics; Parity check codes; Polynomials; Security; Sufficient conditions;
fLanguage
English
Publisher
ieee
Conference_Titel
Information Theory, 2004. ISIT 2004. Proceedings. International Symposium on
Print_ISBN
0-7803-8280-3
Type
conf
DOI
10.1109/ISIT.2004.1365221
Filename
1365221
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