New Binary Linear Codes

T. Aaron Gulliver1, Patric R. J. Ostergard2
1Department of Electrical and Electronic Engineering University of Canterbury Christchurch, New Zealandgulliver@elec.canterbury.ac.nz
2Department of Computer Science and Engineering Helsinki University of Technology P.O. Box 5400, 02015 HUT, Finland

Abstract

In this paper, nineteen new binary linear codes are presented which improve the bounds on the maximum possible minimum distance. These codes belong to the class of quasi-cyclic (QC) codes, and have been constructed using a stochastic optimization algorithm, tabu search. Six of the new codes meet the upper bound on minimum distance and so are optimal.