The AQT Quantum HYBRID algorithms mix quantum techniques with high-performance classical computation to solve integer-based ...

Researchers have solved one aspect of the discrete logarithm problem. This is considered to be one of the 'holy grails' of algorithmic number theory, on which the security of many cryptographic ...

When Shafi Goldwasser chose to focus on cryptography and algorithmic number theory as a new graduate student in computer science at the University of California, Berkeley, in 1979, her timing was ...

Algorithmic information theory provides a rigorous framework for quantifying the inherent complexity of data, most notably through the concept of Kolmogorov complexity. This theoretical underpinning ...

In this article we present applications of smooth numbers to the unconditional derandomization of some well-known integer factoring algorithms. We begin with Pollard's p – 1 algorithm, which finds in ...

Over the past decade, various matrix completion algorithms have been developed. Thresholded singular value decomposition (SVD) is a popular technique in implementing many of them. A sizable number of ...