[gmp-devel] new paper on fast generation of RSA keys

Nelson H. F. Beebe beebe at math.utah.edu
Fri Jul 1 15:13:01 CEST 2022

I recorded yesterday a new paper that should be of interest to members
of the gmp development community who work on cryptography:

	Fast Generation of RSA Keys Using Smooth Integers
	IEEE Transactions on Computers 71(7) 1575--1585 July 2022

The paper has a good survey of previous work in this area, with 36
references.  Although there is a fair amount of number theory in the
paper, the authors emphasize on page 1580, column 2:

>> ...
>> Our understanding is that for a practical application of our
>> algorithm, the users of this technique do not have to become experts
>> on analytic number theory. The main point of the article is to provide
>> the algorithm in as understandable as possible format and, for more
>> mathematically oriented readers, we provide more than enough
>> references to get deeper into this fascinating issue.
>> ...

- Nelson H. F. Beebe                    Tel: +1 801 581 5254                  -
- University of Utah                                                          -
- Department of Mathematics, 110 LCB    Internet e-mail: beebe at math.utah.edu  -
- 155 S 1400 E RM 233                       beebe at acm.org  beebe at computer.org -
- Salt Lake City, UT 84112-0090, USA    URL: http://www.math.utah.edu/~beebe/ -

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