IJPAM: Volume 4, No. 1 (2003)

RANK TWO BUNDLES ON ALGEBRAIC CURVES
AND DECODING OF GOPPA CODES

Trygve Johnsen
Department of Mathematics
University of Bergen
Johs. Bruns GT. 12, N-5008 Bergen, NORWAY
e-mail: johnsen@mi.uib.no


Abstract.We study a connection between two topics: Decoding of Goppa codes arising from an algebraic curve, and rank two extensions of certain line bundles on the curve. The material about each isolated topic is well known. Our contribution is just to expose a connection between them.

Received: November 7, 2002

AMS Subject Classification: 14J28, 14H45

Key Words and Phrases: rank two bundles, decoding of Goppa codes

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2003
Volume: 4
Issue: 1