Title :
A new approach to determine a lower bound of generalized Hamming weights using an improved Bezout theorem
Author :
Feng, Gui-Liang ; Rao, T.R.N.
Author_Institution :
Center for Adv. Comput. Studies, Univ. of Southwestern Louisiana, Lafayette, LA, USA
Abstract :
A new approach to determine a lower bound for the generalized Hamming weights of algebraic-geometric (AG) codes is discussed. Using this new approach, some more efficient linear codes with the minimum distances 4, 5, 6 and any lengths over GF(2m), and some more efficient AG codes have also been constructed
Keywords :
Galois fields; algebraic geometric codes; linear codes; Bezout theorem; Galois field; algebraic-geometric codes; code lengths; generalized Hamming weights; linear codes; lower bound; minimum code distances; Hamming weight; Linear code;
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.1995.531299
