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Comprehensive testing of any implementation of the RSA cryptosystem requires the use of a number of moduli with specific properties. It is shown how to generate a sufficient varie...
We present a design of a high-radix on-line division suitable for long precision computations. The proposed scheme uses a quotient-digit selection function based on the residual r...
A digit-recurrence algorithm for computing the Euclidean norm of a 3-dimensional vector is proposed. Starting from the vector component with the highest order of magnitude as the ...
The IA-64 architecture provides new opportunities and challenges for implementing an improved set of transcendental functions. Using several novel polynomial-based table-driven te...
Inverse square roots are used in several digital signal processing, multimedia, and scientific computing applications. This paper presents a high-speed method for computing invers...
This paper presents mathematical foundtions of the Overlap Resolution Number System (ORNS) which employs signed Continuous Valued Digits (CVD's). ORNS is a redundant Number S...
In two operand addition, bit-wise intermediate variables such as the "propagate" and "generate" terms are defined/evaluated first. Basic carry propagation recu...
An extension of the very-high radix division with prescaling and selection by rounding is presented. This extension consists in increasing the effective radix of the implementatio...