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Title

Partially Interleaved Modular Karatsuba-Ofman Multiplication

Author

Gokay Saldamli, YoJin Baek, Levent Ertaul

Citation

Vol. 15  No. 5  pp. 44-49

Abstract

We describe a method of performing modular multiplication that has various applications in the field of modern cryptography and coding theory. The proposed algorithm, which combines the Karatsuba-Ofman multiplier and bipartite modular reduction, presents an interleaved processing on the upper most level of Karatsuba-Ofman's recursion. The method provides an efficient and highly parallel modular arithmetic for both hardware and software realizations of public-key cryptosystems, such as today's dominating RSA and Diffie-Hellman algorithms.

Keywords

Modular multiplication Karatsuba-Ofman multiplication Bipartite reduction.

URL

http://paper.ijcsns.org/07_book/201505/20150507.pdf