Electrical computers: arithmetic processing and calculating – Electrical digital calculating computer – Particular function performed
Patent
1997-06-26
1999-10-05
Mai, Tan V.
Electrical computers: arithmetic processing and calculating
Electrical digital calculating computer
Particular function performed
G06F 738
Patent
active
059615788
ABSTRACT:
In a microcomputer incorporating a microprocessor, the coprocessor having product-sum operation arithmetic units executes residue multiplications given by "A=A.multidot.B.multidot.R.sup.-1 mod N+kN", "A=A.sup.2 .multidot.R.sup.-1 mod N+kN" and "A=A.multidot.R.sup.-1 mod N 30 kN" and is provided with a multiplication function of executing a preprocessing "R.sup.2 mod N" at high speed. It is possible to perform a power-residue operation "X.sup.Y mod N" at high speed by the microprocessor, using these calculation functions of the coprocessor.
REFERENCES:
patent: 5414651 (1995-05-01), Kessels
patent: 5724279 (1998-03-01), Benaloh et al.
Mathematics of Computation, vol. 44, No. 170, Apr. 1985, "Modular Multiplication Without Trial Division", P. Montgomery, pp. 519-521.
Advances in Cryptology, "A Cryptographic Library for the Motorola DSP56000", Dusse et al, pp. 230-237, undated.
"Modern Cryptography Theory", by Ikeno and Koyama, edited by the Institute of Electronics, Information and Communication Engineers of Japan (1986).
Hitachi , Ltd.
Mai Tan V.
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