Title :
Quasicyclic irreducible Goppa codes
Author :
Ryan, John A. ; Fitzpatrick, Patrick
Author_Institution :
Dept. of Math., Mzuzu Univ., Malawi
fDate :
27 June-2 July 2004
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;
Conference_Titel :
Information Theory, 2004. ISIT 2004. Proceedings. International Symposium on
Print_ISBN :
0-7803-8280-3
DOI :
10.1109/ISIT.2004.1365221
