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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https://doi.org/10.1007/978-3-662-29267-9to be asymptotically good. Concepts and notions relevant to AG codes are discussed with particular emphasis laid on the construction of AG codes. A generalised construction of AG codes is introduced and improvements to the tables of best-known codes are presented. This construction utilises the noti

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Conclusion: Celticity and “Celtic” Heritageh modern, best decoding techniques. Convolutional codes are implemented as tail-biting block codes with near maximum likelihood decoding featuring an extended Dorsch decoder. It is shown that the convolutional codes designed for space applications and sequential decoding over 40 years ago are very g

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S. Depierre,F. Frizon,S. Gin,F. Angelich by definition includes the low-weight codewords. In a landmark paper, Rosnes and Ytrehus showed that exhaustive, low-weight stopping set analysis of codes whose parity-check matrix is sparse can be carried out using a bounded tree search over the length of the code. For an (., .) code, the potent

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Tomas Linkevičius DDS, Dip Pros, PhDgiven of the probability density function of the number of erasures correctable by a given code in terms of the weight enumerator polynomial of the code. For finite-length codes and the erasure channel the best performance is achieved with maximum distance separable (MDS) codes and maximum likelihoo

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