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Titlebook: Applied Algebra, Algebraic Algorithms and Error-Correcting Codes; 9th International Sy Harold F. Mattson,Teo Mora,T. R. N. Rao Conference p

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Seiichiro Kimura,Hiroshige Matsumoto) codes from function fields over finite fields. As a consequence, we show the existence of many optimal and sub-optimal codes from algebraic geometry. We give necessary conditions for equality to hold in the lower bound on the minimum distance of Goppa codes. An upper bound on the minimum distance
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Energy Technology Roadmaps of Japan..In 1985 it was proposed to use the multiplication on elliptic curves for the implementation of one way functions..Supersingular curves . with #.(..) = q + 1 elements were proposed at that time. New results due to A. Menezes, T. Okamoto and S. Vanstone show, that these curves are not well suited fo
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Özgür Arslan-Ayaydin,James Thewissenal use. In this paper, we resolve the implementation difficulties for the basic algorithm which finds a normal subgroup of prime index, and algorithms for computing Sylow subgroups, testing solvability, and constructing a subnormal series.
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Electricity Consumption, GDP and Renewablesn or computing connected components of semi-algebraic sets. A cornerstone of this work is a symbolic sign determination algorithm due to Ben-Or, Kozen and Reif [BOKR86]. In this paper we describe a new sign determination method based on the earlier algorithm, but with two advantages: (i) It is faste
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André Dorsman,Wim Westerman,John L. Simpson.). Contrary to those published in the litterature, our encoders use the check polynomial H(x) of the code. For an (n,k) cyclic code, the first and second encoder consist respectively of (n-k) and k cells arranged into a serial-in serial-out one-dimensional systolic array. The second encoder perform
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