A generalization of algebraic-geometry codes

IEEE Transactions on Information Theory

Volumn 45, Issue 7, 1999, Pages 2498-2501

  Xing, Chaoping ^a   Niederreiter, Harald ^b   Lam, Kwok Yan ^a  

^a NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

^b ERICH SCHMID INSTITUTE OF MATERIALS SCIENCE   (Austria)

Author keywords

Algebraic function fields; Algebraic geometry codes; Best possible codes; Linear codes; Places

Indexed keywords

INFORMATION THEORY; LINEAR ALGEBRA;

ALGEBRAIC-GEOMETRY CODES; LINEAR CODES;

CODES (SYMBOLS);

EID: 0033340684     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/18.796390     Document Type: Article

References (8)

1. V. D. Goppa, "Codes on algebraic curves," Dokl. Akad. Nauk SSSR, vol. 259, pp. 1289-1290, 1981, in Russian.
2. F. J. MacWilliams and N. J. A. Sloane, The Theory of Error-Correcting Codes. Amsterdam, The Netherlands: North-Holland, 1977.
3. H. Niederreiter and C. P. Xing, "Towers of global function fields with asymptotically many rational places and an improvement on the Gilbert-Varshamov bound," Math. Nachr., vol. 195, pp. 171-186, 1998.
4. H. Niederreiter, C. P. Xing, and K. Y. Lam, "A new construction of algebraic-geometry codes," Applicable Algebra Engrg. Comm. Comput., vol. 9, pp. 373-381, 1999.
5. H. Stichtenoth, Algebraic Function Fields and Codes. Berlin, Germany: Springer-Verlag, 1993.
6. M. A. Tsfasman and S. G. Vlǎdut, Algebraic-Geometric Codes. Dordrecht, The Netherlands: Kluwer, 1991.
7. M. A. Tsfasman, S. G. Vlǎdut, and T. Zink, "Modular curves, Shimura curves, and Goppa codes, better than Varshamov-Gilbert bound," Math. Nachr., vol. 109, pp. 21-28, 1982.
8. C. P. Xing, H. Niederreiter, and K. Y. Lam, "Constructions of algebraic geometry codes," IEEE Trans. Inform. Theory, vol. 45, pp. 1186-1193, May 1999.