Title :
New $[52, 18, 16]$ Linear Binary Block Code
Author :
Peter Fizel´;Peter Farkas
Author_Institution :
Dept. of Telecommunications, Faculty of Electrical Engineering and Information Technology, Slovak University of Technology in Bratislava, Bratislava, Slovakia
Abstract :
The generator matrix and the weight distribution of a new [52, 18, 16] linear binary block code are presented. The minimum distance of the known [52, 18, 15] linear binary block code is improved, achieving the upper bound on minimum distance for length 52 and dimension 18.
Keywords :
"Block codes","Telecommunications","Upper bound","Electrical engineering","Informatics","Information technology"
Journal_Title :
IEEE Transactions on Information Theory
DOI :
10.1109/TIT.2010.2096496
