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This paper proposes a new modular multiplication method that uses Montgomery residues defined by a modulus M and a Montgomery radix R whose value is less than the modulus M. This condition enables the operand multiplier to be split into two parts that can ...
Varied sensory systems use noise in order to enhance detection of weak signals. It has been conjectured in the literature that this effect, known as stochastic resonance, may take place in central cognitive processes such as memory retrieval of arithmetica ...
The conditional indirect utility of many random utility maximization (RUM) discrete choice models is specified as a sum of an index V depending on observables and an independent random term P. In general, the universe of RUM consistent models is much large ...
Computations of irregular primes and associated cyclotomic invariants were extended to all primes up to twelve million using multisectioning/convolution methods and a novel approach which originated in the study of Stickelberger codes (Shokrollahi (1996)). ...
The project consists in the study, implementation and comparison of binary matrix multiplication algorithms in C++. We consider Strassen’s algorithm (which is known to perform well over the real numbers) the Four Russians algorithm (which is designed for b ...
The author shows how to use cyclotomic polynomials to construct subgroups of multiplicative groups of finite fields that allow very efficient implementation of discrete logarithm based public key cryptosystems. Depending on the type of application and impl ...
The book gives an easy introduction into the theory of algebraic curves over finite fields to the extent necessary for the basic definitions of the theory of codes from algebraic geometry. Afterwards, it introduces the notion of bilinear complexity, and go ...
International Office of the Forschungszentrum Juelich1993
Using the results given in [D,. V. Chudnovsky and G. V Chudnovsky, Proc. Nat. Acad. Sci. USA, 84 (1987), pp. 1739-1743] and [W. C. Waterhouse, Ann. Sci. École Norm. Sup., 4 (1969), pp. 521560], it is proven that the rank (= bilinear complexity of multipli ...
The Field Programmable Counter Array (FPCA) was introduced to improve FPGA performance for arithmetic circuits. An FPCA is a reconfigurable IP core that can be integrated into an FPGA. To exploit the FPCA, a circuit is transformed by merging disparate addi ...
In this paper we propose a new structure for multiplication using optimal normal bases of type 2. The multiplier uses an efficient linear transformation to convert the normal basis representations of elements of Fqn to suitable polynomials of deg ...
