Combining Montgomery Multiplication with Tag Tracing for the Pollard Rho Algorithm in Prime Order Fields
Document Type
Conference Article
Publication Title
Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Abstract
In this short paper we show how to apply Montgomery multiplication to the tag tracing variant of the Pollard rho algorithm applied to prime order fields. This combines the advantages of tag tracing with those of Montgomery multiplication. In particular, compared to the previous version of tag tracing, the use of Montgomery multiplication entirely eliminates costly modular reductions and replaces these with much more efficient divisions by a suitable power of two.
First Page
138
Last Page
146
DOI
10.1007/978-3-031-22829-2_8
Publication Date
1-1-2022
Recommended Citation
Mukhopadhyay, Madhurima and Sarkar, Palash, "Combining Montgomery Multiplication with Tag Tracing for the Pollard Rho Algorithm in Prime Order Fields" (2022). Conference Articles. 431.
https://digitalcommons.isical.ac.in/conf-articles/431