Title :
On the generalized Hamming weights of geometric Goppa codes
Author_Institution :
Dept. of Appl. Math., Valladolid Univ., Spain
fDate :
11/1/1994 12:00:00 AM
Abstract :
We study the generalized Hamming weights of geometric Goppa codes, giving a translation of these weights into arithmetical terms, concerning the arithmetic of the curve used to construct the code. We derive some results and bounds that we apply to some known codes
Keywords :
Goppa codes; geometric codes; Hermitian curves; arithmetical terms; bounds; code construction; generalized Hamming weights; geometric Goppa codes; hyperelliptic curve; translation; Arithmetic; Conferences; Cryptography; Galois fields; H infinity control; Hamming weight; Linear code; Vectors;
Journal_Title :
Information Theory, IEEE Transactions on