This paper proposes two improved interleaved modular multiplication algorithms based on Barrett and Montgomery modular reduction. The algorithms are simple and especially suitable ...
Miroslav Knezevic, Frederik Vercauteren, Ingrid Ve...
Abstract--Modular multiplication of long integers is an important building block for cryptographic algorithms. Although several FPGA accelerators have been proposed for large modul...
Gary Chun Tak Chow, Ken Eguro, Wayne Luk, Philip L...
Until now, most cryptography implementations on parallel architectures have focused on adapting the software to SIMD architectures initially meant for media applications. In this ...
Abstract. A novel technique for computing a 2n-bit modular multiplication using n-bit arithmetic was introduced at CHES 2002 by Fischer and Seifert. Their technique makes use of an...
We propose an algorithm for modular multiplication/division suitable for VLSI implementation. The algorithm is based on Montgomery’s method for modular multiplication and on the...
The computational fundament of most public-key cryptosystems is the modular multiplication. Improving the efficiency of the modular multiplication is directly associated with the...
David Narh Amanor, Viktor Bunimov, Christof Paar, ...
Abstract. In this article we present the fastest known implementation of a modular multiplication for a 160-bit standard compliant elliptic curve (secp160r1) for 8-bit micro contro...
Most implementations of the modular exponentiation, ME mod N, computation in cryptographic algorithms employ Montgomery multiplication, ABR−1 mod N, instead of modular multiplic...