Add to ORKGThis paper describes carry-less arithmetic operations modulo an integer $2^M - 1$ in the thousand-bit range, targeted at single instruction multiple data platforms and applications where overall throughput is the main performance criterion. Using an implementation on a cluster of PlayStation 3 game consoles a new record was set for the elliptic curve method for integer factorization
The Elliptic Curve Method (ECM) is the method of choice for nding medium-size prime factors. A good...
The main objective of this PhD thesis is to speedup elliptic curve cryptography (ECC) computations, ...
Abstract. In SAC 2003, J. Chung and A. Hasan introduced a new class of specific moduli for cryptogra...
This paper presents software implementation speed records for modular multiplication arithmetic on t...
We describe a cell processor implementation of Pollard’s rho method to solve discrete logarithms in ...
Generalised Mersenne Numbers (GMNs) were defined by Solinas in 1999 and feature in the NIST (FIPS 18...
Abstract — This paper attempts to speed-up the modular reduction as an independent step of modular m...
This chapter describes Peter L. Montgomery\u27s modular multiplication method and the various improv...
Since the introduction of public key cryptography, the problem of factoring large composites has bee...
The security of the most popular asymmetric cryptographic scheme RSA depends on the hardness of fact...
A technique to speed up Montgomery multiplication targeted at the Synergistic Processor Elements (SP...
In this paper we present a new multiplication algorithm for residues modulo the Mersenne prime 2521 ...
International audienceIn this paper we provide a comparison of different modular multipliers suitabl...
Summary. Mersenne Twister (MT) is a widely-used fast pseudorandom number generator (PRNG) with a lon...
International audienceThe paper describes a new RNS modular multiplication algorithm for efficient i...
The Elliptic Curve Method (ECM) is the method of choice for nding medium-size prime factors. A good...
The main objective of this PhD thesis is to speedup elliptic curve cryptography (ECC) computations, ...
Abstract. In SAC 2003, J. Chung and A. Hasan introduced a new class of specific moduli for cryptogra...
This paper presents software implementation speed records for modular multiplication arithmetic on t...
We describe a cell processor implementation of Pollard’s rho method to solve discrete logarithms in ...
Generalised Mersenne Numbers (GMNs) were defined by Solinas in 1999 and feature in the NIST (FIPS 18...
Abstract — This paper attempts to speed-up the modular reduction as an independent step of modular m...
This chapter describes Peter L. Montgomery\u27s modular multiplication method and the various improv...
Since the introduction of public key cryptography, the problem of factoring large composites has bee...
The security of the most popular asymmetric cryptographic scheme RSA depends on the hardness of fact...
A technique to speed up Montgomery multiplication targeted at the Synergistic Processor Elements (SP...
In this paper we present a new multiplication algorithm for residues modulo the Mersenne prime 2521 ...
International audienceIn this paper we provide a comparison of different modular multipliers suitabl...
Summary. Mersenne Twister (MT) is a widely-used fast pseudorandom number generator (PRNG) with a lon...
International audienceThe paper describes a new RNS modular multiplication algorithm for efficient i...
The Elliptic Curve Method (ECM) is the method of choice for nding medium-size prime factors. A good...
The main objective of this PhD thesis is to speedup elliptic curve cryptography (ECC) computations, ...
Abstract. In SAC 2003, J. Chung and A. Hasan introduced a new class of specific moduli for cryptogra...