Titlebook: Applied Algebra, Algebraic Algorithms and Error-Correcting Codes; 13th International S Marc Fossorier,Hideki Imai,Alain Poli Conference pro

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RA Codes Achieve AWGN Channel Capacityto decode using an iterative decoding algorithm derived from belief propagation on the appropriate Tanner graph, yet their performance is scarcely inferior to that of full-fledged turbo codes. In this paper, we prove that on the AWGN channel, RA codes have the potential for achieving channel capacit

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A Fast Program Generator of Fast Fourier Transformsvery such isomorphism ., a so-called discrete Fourier transform of ?., consists of a full set of pairwise inequivalent irreducible representations D. of ?.. A result of Morgenstern combined with the well-known Schur relations in representation theory show that (under mild conditions) any straight li

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On Integer Programming Problems Related to Soft-Decision Iterative Decoding Algorithmsce in soft-decision iterative decoding algorithms for binary block codes used over the AWGN channel using BPSK signaling. Then the derivation of such sufficient conditions and the selection of centers of search regions in iterative steps are formulated uniformly as a type of integer programming prob