On Several New Projective Curves over F2 of Genus 3, 4, and 5

IEEE Transactions on Information Theory

Volumn 41, Issue 6, 1995, Pages 1643-1648

  Moreno, Oscar ^a   Zinoviev, Dmitrii ^b   Zinoviev, Victor ^c  

^a UNIVERSITY OF PUERTO RICO RIO PIEDRAS   (Puerto Rico)

^b OHIO STATE UNIVERSITY   (United States)

^c INSTITUTE FOR INFORMATION TRANSMISSION PROBLEMS   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0038774482     PISSN: 00189448     EISSN: 15579654     Source Type: Journal    
DOI: 10.1109/18.476236     Document Type: Article

References (10)

1. W. Fulton, Algebraic Curves: An Introduction to Algebraic Geometry. New York: Benjamin, 1969.
2. J.-P. Serre, “Nombres de points des courbes algebriques sur Fq,” in Seminaire de Theorie des Nombres de Bordeaux, expose 22, pp. 1–8, 1983.
3. —, “The number of rational points on curves over finite fields” (Princeton lectures, Fall 1983), Notes by E. Bayer.
4. D. Polemi, C. J. Moreno, and O. J. Moreno, “Search and construction of good a.g. Goppa codes,” submitted to IEEE Trans. Inform. Theory.
5. V. D. Goppa, Geometry and Codes. Dordrecht, The Netherlands: Kluwer, 1988.
6. S. G. Vlăduţ and Yu. I. Manin, “Linear codes and modular curves,” J. Sov. Math., vol. 30, no. 6, pp. 2611–2643, 1985.
7. D. Le Brigand and J. J. Risler, “Algorithm de Brill-Noethr et codes de Goppa,” Bull. Soc. Math. France, vol. 116, pp. 231–253, 1988.
8. G. Haché and D. Le Brigand, “Effective construction of algebraic-geometric codes,” this issue, pp. 1615–1628.
9. A. M. Barg, G. L. Katsman, and M. A. Tsfasman, “Algebraic geometric codes from curves of small genus,” Probl. Inform. Trans., vol. 23, no. 1, pp. 34–38, 1987.
10. M. A. Tsfasman and S. G. Vlăduţ, Algebraic-Geometric Codes. Dordrecht/Boston/London: Kluwer, 1991.