Title :
A dual of well-behaving type designed minimum distance
Author :
Shibuya, Tomoharu ; Sakaniwa, Kohichi
Author_Institution :
Dept. of Electr. & Electron. Eng., Tokyo Inst. of Technol., Japan
Abstract :
We propose a lower bound for the minimum distance of [n,k] linear codes which are specified by generator matrices whose rows are k vectors of a given sequence of n linearly independent vectors over a finite field. It is noted that the Feng-Rao and the order bounds give lower bounds for the minimum distance of the dual codes
Keywords :
dual codes; linear codes; matrix algebra; Feng-Rao bound; [n,k] linear codes; dual codes; generator matrices; linearly independent vectors; lower bound; lower bounds; order bounds; well-behaving type designed minimum distance; Galois fields; Hamming weight; History; Linear code; Vectors;
Conference_Titel :
Information Theory, 2000. Proceedings. IEEE International Symposium on
Conference_Location :
Sorrento
Print_ISBN :
0-7803-5857-0
DOI :
10.1109/ISIT.2000.866464
