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Nine good rate (m-1)/pm quasi-cyclic codes

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2 Author(s)
T. A. Gulliver ; Dept. of Syst. & Comput. Eng., Carleton Univ., Ottawa, Ont., Canada ; V. K. Bhargava

The class of quasi-cyclic (QC) codes has been proven to contain many good codes. To date the known results are largely codes of the form 1/p and (p-1)/p constructed from circulant matrices. A generalization of these rate 1/p codes to rate (m-1)/pm codes based on the theory of 1-generator QC codes is presented. The results of a search for good codes based on heuristic combinatorial optimization are nine codes which improve the known lower bounds on the minimum distance of binary linear codes

Published in:

IEEE Transactions on Information Theory  (Volume:38 ,  Issue: 4 )