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This paper proposes a new modular multiplication method that uses Montgomery residues defined by a modulus M and a Montgomery radix R whose value is less than the modulus M. This condition enables the operand multiplier to be split into two parts that can ...
We describe a cell processor implementation of Pollard’s rho method to solve discrete logarithms in groups of elliptic curves over prime fields. The implementation was used on a cluster of PlayStation 3 game consoles to set a new record. We present in deta ...
Meeting the requirements of NIST’s new cryptographic standard ‘Suite B Cryptography’ means phasing out usage of 1024-bit RSA and 160-bit Elliptic Curve Cryptography (ECC) by the year 2010. This write-up comments on the vulnerability of these systems to an ...
A technique to speed up Montgomery multiplication targeted at the Synergistic Processor Elements (SPE) of the Cell Broadband Engine is proposed. The technique consists of splitting a number into four consecutive parts. These parts are placed one by one in ...
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