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 detail the underlying single instruction multiple data modular arithmetic
Abstract. Using FPGAs to compute the discrete logarithms of elliptic curves is a well-known method. ...
Elliptic curve discrete logarithm problem(ECDLP) is one of problems on which the security of pairing...
This project aims to describe Pollard's rho-Algorithm for solving the Discrete Logarithm Problem in ...
Elliptic curve cryptography (ECC) has become a popular public key cryptography standard. The securit...
Elliptic Curve Cryptography (ECC) is a popular tool to construct public-key crypto-systems. The secu...
This paper describes an implementation of Pollard’s rho algorithm to compute the elliptic curve disc...
Bos, Kaihara, Kleinjung, Lenstra, and Montgomery recently showed that ECDLPs on the 112-bit secp112r...
This paper presents software implementation speed records for modular multiplication arithmetic on t...
International audienceThe security of cryptographic protocols which are based on elliptic curve cryp...
In this paper we analyse realization of a coprocessor which supports counting of discrete logarithm ...
This paper describes carry-less arithmetic operations modulo an integer $2^M - 1$ in the thousand-bi...
This paper accelerates FPGA computations of discrete logarithms on elliptic curves over binary field...
Abstract. Using FPGAs to compute the discrete logarithms of elliptic curves is a well-known method. ...
Elliptic curve discrete logarithm problem(ECDLP) is one of problems on which the security of pairing...
This project aims to describe Pollard's rho-Algorithm for solving the Discrete Logarithm Problem in ...
Elliptic curve cryptography (ECC) has become a popular public key cryptography standard. The securit...
Elliptic Curve Cryptography (ECC) is a popular tool to construct public-key crypto-systems. The secu...
This paper describes an implementation of Pollard’s rho algorithm to compute the elliptic curve disc...
Bos, Kaihara, Kleinjung, Lenstra, and Montgomery recently showed that ECDLPs on the 112-bit secp112r...
This paper presents software implementation speed records for modular multiplication arithmetic on t...
International audienceThe security of cryptographic protocols which are based on elliptic curve cryp...
In this paper we analyse realization of a coprocessor which supports counting of discrete logarithm ...
This paper describes carry-less arithmetic operations modulo an integer $2^M - 1$ in the thousand-bi...
This paper accelerates FPGA computations of discrete logarithms on elliptic curves over binary field...
Abstract. Using FPGAs to compute the discrete logarithms of elliptic curves is a well-known method. ...
Elliptic curve discrete logarithm problem(ECDLP) is one of problems on which the security of pairing...
This project aims to describe Pollard's rho-Algorithm for solving the Discrete Logarithm Problem in ...
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