Abstract: Finding the prime factors of large composite integers is the fundamental computational problem in number theory. Currently, the fastest known ...

One such solver is called the Wiedemann method. This paper reports our efficient implementation of the Wiedemann method, and its block version. We start with a ...

This paper introduces a new parallel algorithm that allows for an efficient LLL reduction using today's emerg- ing many-core systems. This work develops ...

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Parallel and Distributed Implementations of the Wiedemann and the Block-Wiedemann Methods over GF(2). R. Roy, A. Das, and D. Chowdhury.

Then, we propose a novel parallel block Wiedemann algorithm in cloud to reduce the communication cost of solving large and sparse linear systems over GF(2). The ...

Then, we propose a novel parallel block Wiedemann algorithm in cloud to reduce the communication cost of solving large and sparse linear systems over GF(2).

Dec 6, 2022 · This paper demonstrates the step-wise hybrid parallel implementation of the Block-Wiedemann Algorithm(BWA) to find the solution of a large ...

This is to certify that the thesis entitled Parallelization of the Wiedemann large sparse system solver over large prime fields, submitted by Pratyay ...

Aug 4, 2022 · Bibliographic details on Parallel and Distributed Implementations of the Wiedemann and the Block-Wiedemann Methods over GF(2).