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

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An Algorithm to Compute a Nearest Point in the Lattice , ,nsider the problem of computing the nearest lattice point in ... They developed and later improved [.] an algorithm which is able to compute a nearest point in .(..) arithmetic steps. In this paper, a new algorithm is developed which is able to compute a nearest point in . steps.
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On the Second Greedy Weight for Binary Linear Codesthe smallest size of the support of a 2-dimensional subcode of . which contains a codeword of weight d. For codes of dimension 4, the maximal value of ..-. is determined. For general dimensions, upper and lower bounds on the maximal value are given.
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Near Optimal Decoding for TCM Using the BIVA and Trellis Shapingthe trellis shaping technique is also considered to combine with such TCM schemes using the BIVA. The simulation results show that the performance of 1.25 dB away from Shannon limit can be achieved by the BIVA and trellis shaping for 256-state 6 bits/. TCM scheme, with low complexity and reasonable computation.
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Conference proceedings 1999atrices, block codes, rings and fields, decoding methods, code construction, algebraic curves, cryptography, codes and decoding, convolutional codes, designs, decoding of block codes, modulation and codes, Gröbner bases and AG codes, and polynomials.
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B. P. Da̧browski,P. Rudawy,M. Karlickýiting realizations are inherently normal. Efficient realizations of Reed-Muller codes are presented. Low-density parity-check codes use generic parity-check realizations. Algebraic tools may improve such graph-based codes.
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