Title :
Some new bounds for q-ary [n,k,d] codes
Author :
Xiao, Ma ; Xinmei, Wang
Author_Institution :
Xidian Univ., Xi´´an, China
fDate :
29 Jun-4 Jul 1997
Abstract :
Let C[n,k,d] be a q-ary linear code and H=(H1,H2 ,…,Hn) be the parity check matrix. We have proved that an [n,k,d] code with d>4 over GF(2) must satisfy k⩽n-d+1-log2(n-d+1). In this paper, we generalize this bound to GF(q) by several different methods and derived some new bounds for q-ary linear block codes
Keywords :
block codes; linear codes; GF(q); bounds; parity check matrix; q-ary [n,k,d] codes; q-ary linear block codes; Block codes; Error correction codes; Hydrogen; Linear code; Parity check codes;
Conference_Titel :
Information Theory. 1997. Proceedings., 1997 IEEE International Symposium on
Conference_Location :
Ulm
Print_ISBN :
0-7803-3956-8
DOI :
10.1109/ISIT.1997.613002
