We handle the sieving stage of the two fastest known factoring algorithms (NFSM and MPQSM), and are able to achieve 15–40% speedup over non-SIMD implementations ...

Our Contribution: In this paper, we concentrate on efficient implementations of sieving using. Intel's SSE2 (Streaming SIMD Extensions) and AVX (Advanced Vector ...

In this paper, we experimentally demonstrate that SIMD instructions available in many modern processors can lead to additional speedup in the computation of ...

We handle the sieving stage of the two fastest known factoring algorithms (NFSM and MPQSM), and are able to achieve 15–40% speedup over non-SIMD implementations ...

In this paper, we use SIMD-based parallelization to speed up the sieving stage of integer-factoring algorithms.

Jan 20, 2015 · In this paper, we use SIMD-based parallelization to speed up the sieving stage of integer-factoring algorithms. We experiment on the two fastest ...

We describe a single-instruction multiple data (SIMD) implementation of the multiple polynomial quadratic sieve integer factoring algorithm.

This paper describes the single-instruction multiple data (SIMD) implementation of the multiple polynomial quadratic sieve integer factoring algorithm, ...

In this paper, we use SIMD-based parallelization to speed up the sieving stage of integer-factoring algorithms. We experiment on the two fastest variants of ...

SIMD-Based Implementations of Sieving in Integer-Factoring Algorithms. Graduate · School and Faculty of Information Science and Electrical Engineering, Kyushu.