Title :
Bounds on the Minimum Distance of Goppa Codes
Author_Institution :
Dept. of Math. Sci., Clemson Univ., Clemson, SC
fDate :
7/1/2008 12:00:00 AM
Abstract :
A general upper bound on the minimum distance of Goppa codes is given. It is also shown how to choose divisors so that Goppa codes from fiber products of Kummer covers of the projective line have substantially improved lower bounds for the minimum distance compared to the usual Goppa bound.
Keywords :
Goppa codes; Goppa bound; Goppa codes; Kummer covers; fiber products; minimum distance; Code standards; Linearity; National security; Upper bound; Algebraic-geometry codes; minimum distance bounds;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2008.924664
