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<p>Radix-2 and radix-4 modular multiplication hardware algorithms are proposed. Numbers are represented in a redundant representation and modular additions are performed without carry propagation. Serial-parallel modular multipliers based on them have a regular cellular array structure with a bit slice feature suitable for VLSI implementation. They are efficient especially in applications, such as an RSA cryptosystem, where modular multiplications are performed iteratively.</p>
modular multiplication hardware algorithms; redundant representation; RSA cryptosystem; multipliers; cellular array structure; bit slice feature; VLSI implementation; cryptography; digital arithmetic; VLSI.
S. Yajima, N. Takagi, "Modular Multiplication Hardware Algorithms with a Redundant Representation and their Application to RSA Cryptosystem", IEEE Transactions on Computers, vol. 41, no. , pp. 887-891, July 1992, doi:10.1109/12.256444
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