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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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Algorithmic/Architectural Level Refinement,y of powerful algorithms endowed with graphical interface modules. Standard applications can be run automatically whereas research projects mostly require small C or C++ programs. The basic philosophy behind the system is to transform problems into standard problems of e.g. group theory, graph theor
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Analog Circuits and Signal Processingnt new methods which reduce the average number of multiplications comparing with well-known methods, such as the binary method and the .-ary method. We do not compare our approach with algorithms based on addition chains since our approach is intended for cryptosystems with large exponent . and the
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Analog Circuits and Signal Processings, using mostly computations on scalars (and very few on polynomials). It is based on a formal method of specialization of relative resolvents: it consists in expressing the generic coefficients of the resolvent using the powers of a primitive element, thanks to a quadratic space structure; this red
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Fabrication of Electrostatic Converters,alities. Here we discuss, how this approach may be refined to produce triangular systems in the sense of [12] and [13]. Such a refinement guarantees, different to the usual Gröbner factorizer, to produce a quasi prime decomposition, i.e. the resulting components are at least pure dimensional radical
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https://doi.org/10.1007/978-94-009-6409-9We discuss how characters of finite fields and exponential sums can be applied to covering radius problems. In particular we study the covering radius of BCH codes, and upper bounds on the covering radius of a code with a given dual distance.
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