This paper reports on the number field sieve computation of a 768-bit prime field discrete
logarithm, describes the different parameter optimizations and resulting algorithmic changes …

Providing strong security margins against cryptanalytic attackers equipped with quantum
computers is a major research direction fostered by the US National Institute of Standards …

We develop a new methodology to assess cryptographic key strength using cloud
computing, by calculating the true economic cost of (symmetric-or private-) key retrieval for …

The RSA cryptosystem and elliptic curve cryptography (ECC) have been used practically
and widely in public key cryptography. The security of RSA and ECC respectively relies on …

A resources allocation is one of the most important things in cloud computing because the
environment in which work depends is heterogeneous environment and there are many who …

At present, the RSA cryptosystem is most widely used in public key cryptography. On the
other hand, elliptic curve cryptography (ECC) has recently received much attention since …

We develop a new methodology to assess cryptographic key strength using cloud
computing, by calculating the true economic cost of (symmetric-or private-) key retrieval for …

Quantum computing is widely seen as an evolution step in computer science, with the
potential for disruptive changes in how we think about problem solvability. The significant …

Software often contains proprietary information---algorithms, intellectual property, and
encryption keys, for example---which malicious actors seek to access through reverse …

Abstract The Block Wiedemann (BW) and the Block Lanczos (BL) algorithms are frequently
used to solve sparse linear systems over GF (2). Iterative sparse matrix-vector multiplication …