Title :
There is no ternary [28, 6, 16] code
Author :
Hamada, Noboru ; Helleseth, Tor ; Martinsen, Halvard ; Ytrehus, Oyind
Author_Institution :
Dept. of Appl. Math., Osaka Women´´s Univ., Japan
fDate :
7/1/2000 12:00:00 AM
Abstract :
The existence of a ternary [28, 6, 16] code is considered. We show that without loss of generality, a generator matrix of such a code must satisfy certain conditions. A computer search over all matrices that satisfy these conditions reveals that a ternary [28, 6, 16] code does not exist
Keywords :
block codes; linear codes; matrix algebra; search problems; ternary codes; code length; computer search; generator matrix; minimum Hamming distance; ternary linear block code; Block codes; Councils; Hamming distance; Informatics; Mathematics; Upper bound;
Journal_Title :
Information Theory, IEEE Transactions on
