Volume 1, Issue 2, June 2018, Page: 39-43
A New Powerful Scheme Based on Self Invertible Stabilizer Multiplier Permutation to Find the Minimum Distance for large BCH Codes
Issam Abderrahman Joundan, Faculty of Sciences Ben M'sik, Hassan II University, Casablanca, Morocco
Said Nouh, Faculty of Sciences Ben M'sik, Hassan II University, Casablanca, Morocco
Abdelwahed Namir, Faculty of Sciences Ben M'sik, Hassan II University, Casablanca, Morocco
Received: Jan. 7, 2018;       Accepted: Jan. 17, 2018;       Published: Feb. 21, 2018
DOI: 10.11648/j.ajcst.20180102.11      View  788      Downloads  80
Abstract
In this paper, we present the powerful scheme ZSISMP (Zimmermann Self Invertible Stabilizer Multiplier Permutation) to attack the hardness of the minimum distance search problem of BCH codes. This scheme consists in evaluating the minimum distance of the reduced dimension sub code fixed by a Self Invertible Stabilizer Multiplier Permutation by Zimmermann algorithm. The proposed scheme ZSISMP is validated on all BCH codes of known minimum distance. A comparison with several known powerful techniques proves its efficiency in giving more accurate results in short time. The use of this efficient local search had yield to determine the error correcting capability of many BCH codes of length 1023 and 4095.
Keywords
Minimum Distance, Minimum Weight, BCH Codes, Designed Distance, Automorphism Group, Multiplier, Zimmermann Algorithm
To cite this article
Issam Abderrahman Joundan, Said Nouh, Abdelwahed Namir, A New Powerful Scheme Based on Self Invertible Stabilizer Multiplier Permutation to Find the Minimum Distance for large BCH Codes, American Journal of Computer Science and Technology. Vol. 1, No. 2, 2018, pp. 39-43. doi: 10.11648/j.ajcst.20180102.11
Copyright
Copyright © 2018 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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