Title :
Generalization and applications of McEliece´s theorem
Author :
Moreno, Oscar ; Castro, Francis N.
Author_Institution :
Dept. of Comput. Sci., Puerto Rico Univ.
Abstract :
This paper describes an application of our generalization of McEliece´s theorem in order to improve Serre´s bound. Serre obtained sharp estimates for the number of solutions of an algebraic curve over a finite field. This improvement depends of the divisibility properties of the curve. Curves with many rational points are important in algebraic-geometry codes and low-discrepancy sequences
Keywords :
algebraic geometric codes; McEliece´s theorem application; Serre bound; algebraic curve; algebraic-geometry code; curve divisibility property; finite field; low-discrepancy sequence; sharp estimation; Application software; Codes; Computer science; Electronic mail; Galois fields; Mathematics; Polynomials;
Conference_Titel :
Information Theory, 2004. ISIT 2004. Proceedings. International Symposium on
Conference_Location :
Chicago, IL
Print_ISBN :
0-7803-8280-3
DOI :
10.1109/ISIT.2004.1365398
