DocumentCode :
2620751
Title :
On algebraic geometric codes from singular projective curves over GF(2m)
Author :
Moreno, Oscar ; Zinoviev, Victor A. ; Zinoviev, Dmitrii V. ; Polemi, Despina
Author_Institution :
Dept. of Math., Puerto Rico Univ., Rio Piedras, Puerto Rico
fYear :
1994
fDate :
27 Jun-1 Jul 1994
Firstpage :
157
Abstract :
Using known techniques of desingularization of singular projective curves over finite fields, we found several new planar and non planar curves with genuses 3 and 4, whose number of Fq-rational points meet or are close to Serre´s upper bound
Keywords :
Galois fields; Goppa codes; algebraic geometric codes; Galois field; Goppa codes; algebraic geometric codes; binary linear codes; desingularization; finite fields; non-planar curves; planar curves; singular projective curves; upper bound; Algebra; Contracts; Galois fields; Gold; Integral equations; Linear code; Mathematics; Polynomials; Upper bound;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Information Theory, 1994. Proceedings., 1994 IEEE International Symposium on
Conference_Location :
Trondheim
Print_ISBN :
0-7803-2015-8
Type :
conf
DOI :
10.1109/ISIT.1994.394815
Filename :
394815
Link To Document :
https://search.ricest.ac.ir/dl/search/defaultta.aspx?DTC=49&DC=2620751
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