Title :
Effective construction of self-dual geometric Goppa codes
Author_Institution :
Inst. Nat. de Recherche en Inf. et Autom., Le Chesnay, France
Abstract :
The first criterion of self-duality for geometric Goppa codes has been given by Driencourt and Michon (1985) for codes constructed from elliptic curves. Our aim is to effectively construct self-dual geometric Goppa codes. One example is given at the end which was done using the implementation of the Brill-Noether algorithm written in AXIOM by the author
Keywords :
Goppa codes; dual codes; geometric codes; AXIOM; Brill-Noether algorithm; effective construction; elliptic curves; self-dual geometric Goppa codes; Elliptic curves; Equations; Galois fields; Hafnium;
Conference_Titel :
Information Theory, 1995. Proceedings., 1995 IEEE International Symposium on
Conference_Location :
Whistler, BC
Print_ISBN :
0-7803-2453-6
DOI :
10.1109/ISIT.1995.531304