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Reconstruction of a Nonbinary Block Code from an Intercepted Sequence with Application to ReedSolomon Codes
Adel ZAHEDI GholamReza MOHAMMADKHANI
Publication
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Vol.E95A
No.11
pp.18731880 Publication Date: 2012/11/01
Online ISSN: 17451337
DOI: 10.1587/transfun.E95.A.1873
Print ISSN: 09168508 Type of Manuscript: Special Section PAPER (Special Section on Signal Design and Its Applications in Communications) Category: Sequences Keyword: nonbinary block codes, ReedSolomon codes, encoder reconstruction, cognitive radio,
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Summary:
In this paper, a method is proposed for reconstruction of the parameters of a nonbinary block encoder using an intercepted sequence of noisy coded data. The proposed method is a generalization of the Barbier's method for the reconstruction of binary block codes to the more problematic case of nonbinary codes. It has been shown mathematically that considering some revisions in definitions, such a generalization is possible. The proposed method is able to estimate the code parameters such as the code length, the code dimension, number of bits per symbol, and the dualcode subspace, and also to synchronize the sequence. Since the ReedSolomon code is the most important type of nonbinary block codes, an additional method is proposed to reconstruct the generator polynomial in the case of ReedSolomon codes. The proposed method is evaluated via computer simulations which verify its strength and effectiveness.

