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This chapter compares Peter Montgomery's modular multiplication method with traditional techniques for suitability on hardware platforms. It also covers systolic array implementations and side channel...
The arithmetic in a finite field constitutes the core of Public Key Cryptography like RSA, ECC or pairing-based cryptography. This paper discusses an efficient hardware implementation of the Coarsely ...
This paper presents an area-optimized FPGA architecture of the Montgomery modular multiplication algorithm on a low power reconfigurable IGLOO?2 FPGA of Microsemi? Our contributions consist of the map...
Montgomery modular multiplication constitutes the "arithmetic foundation" of modern public-key cryptography with applications ranging from RSA, DSA and Diffie-Hellman over elliptic curve schemes to pa...
Modular multiplication of large integers is a performance-critical arithmetic operation of many public-key cryptosystems such as RSA, DSA, Diffie-Hellman (DH) and their elliptic curve-based variants E...
In this paper, we apply results on number systems based on continued fraction expansions to modular arithmetic. We provide two new algorithms in order to compute modular multiplication and modular div...
A digit-serial, multiplier-accumulator based cryptographic co-processor architecture is proposed, similar to fix-point DSP's with enhance-ments, supporting long modular arithmetic and general computat...

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