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Titlebook: Applied Algebra, Algebraic Algorithms and Error-Correcting Codes; 11th International S Gérard Cohen,Marc Giusti,Teo Mora Conference proceed

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51#
發(fā)表于 2025-3-30 09:05:26 | 只看該作者
https://doi.org/10.1007/978-90-481-2694-1ood candidate to have binomially distributed weights for large code length, i. e., is a good candidate for an asymptotically optimal code family on the binary symmetric channel when decoded by a Maximum-Likelihood-Decoder with all codewords having equal prior probabilities.
52#
發(fā)表于 2025-3-30 13:54:36 | 只看該作者
53#
發(fā)表于 2025-3-30 16:59:33 | 只看該作者
54#
發(fā)表于 2025-3-30 23:54:26 | 只看該作者
Bivariate polynomial multiplication patterns, admits the reduced upper bound 3n. + 4n + 1, opposed to a lower bound of 2.. + 4. + 1. We have a similar saving factor for the . case with factors . of total degree . to be multiplied mod (..,....). There remains the issue to find the exact complexities of these multiplication problems.
55#
發(fā)表于 2025-3-31 04:38:59 | 只看該作者
56#
發(fā)表于 2025-3-31 06:44:53 | 只看該作者
57#
發(fā)表于 2025-3-31 12:37:14 | 只看該作者
,Triangular systems and factorized Gr?bner bases,tion at a heuristical level and full decomposition into prime components. Our approach grew up from a consequent interpretation of the algorithmic ideas in [5] as a . quotient computation in favour of early use of (multivariate) factorization. It is implemented in version 2.2 of the REDUCE package CALI [8].
58#
發(fā)表于 2025-3-31 14:59:08 | 只看該作者
Analog Circuits and Signal Processingcomplexity of constructing the optimal addition chain for such . is too high. We consider the binary representation for the number . and simplify exponentiation by applying ideas close to ideas exploited in data compression. Asymptotical efficiency of the new algorithms is estimated and numerical results are given.
59#
發(fā)表于 2025-3-31 19:22:27 | 只看該作者
Analog Circuits and Signal Processinguces the problem to that of specializing a primitive element, which we are able to do in the case of the descending by successive inclusions. We incidentally supply a way to make separable a resolvent.
60#
發(fā)表于 2025-4-1 01:31:09 | 只看該作者
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