Multiplier based on a variable radix multiplier coding

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364746, G06F 738, G06F 752

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058285903

ABSTRACT:
A modular multiplication method and device is based on RSD arithmetic, partial product reduction techniques and precomputation techniques. During multiplication, redundant representation is adopted to carry out addition of two large numbers (512 bits or longer) without carry propagation. A multiplication based on variable radix multiplier coding is performed by coding y.sub.i into a radix.sub.-- 8 digit y.sub.j, except when y.sub.j =.+-.3, in which case y.sub.i is coded into a radix.sub.-- 4 digit y.sub.j. This modular multiplication method is used for VLSI implementation of many public-key cryptosystems, such as RSA.

REFERENCES:
patent: 4528641 (1985-07-01), Burrows
patent: 4965762 (1990-10-01), Williams
patent: 5107451 (1992-04-01), Houk
patent: 5150322 (1992-09-01), Smith et al.
patent: 5297206 (1994-03-01), Orton
"A Method for Obtaining Digital Signatures and Public Key Cryptosystems," by Rivest et al., MIT Laboratory for Computer Science and Department of Mathematics (Feb. 1978). pp. 120-126.

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