Titlebook: Error-Correction Coding and Decoding; Bounds, Codes, Decod Martin Tomlinson,Cen Jung Tjhai,Mubarak Jibril Book‘‘‘‘‘‘‘‘ 2017 The Editor(s) (

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1860-4862 ..Part IV deals with decoders designed to realize optimum performance..Part V describes applications which include combined error correction and detection, public key cryptography using Goppa codes, correcting 978-3-319-84567-8978-3-319-51103-0Series ISSN 1860-4862 Series E-ISSN 1860-4870

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Book‘‘‘‘‘‘‘‘ 2017ing sets and low-weight codeword spectrum which determines the performance of th.ese codes..Part IV deals with decoders designed to realize optimum performance..Part V describes applications which include combined error correction and detection, public key cryptography using Goppa codes, correcting

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Fibrous Structures: Networks and Composites,00. We describe a modular congruence method and show how it can be used to check weight distributions of codes and have corrected some mistakes in previously published results for codes of length 137 and 151. For evaluation of the minimum Hamming distance for very long codes, a new probabilistic met

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https://doi.org/10.1007/978-3-642-36721-2ce directly the parity check matrix in reduced echelon form. The algorithm may be used for constructing reduced echelon parity check matrices for standard BCH and RS codes as well as analogue BCH codes. Gaussian elimination or other means of solving parallel, simultaneous equations are completely av

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S. Depierre,F. Frizon,S. Gin,F. Angeli not all stopping sets, a class of bits is defined as unsolved parity bits, and these are also searched as appended bits in order to find all low-weight stopping sets. Weight spectrum and stopping set results are presented for commonly used WiMax LDPC codes in addition to some other well known LDPC

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