multapps draft available
"D. J. Bernstein" <[email protected]> 20 Jan 2003 13:40:04 -0000
| Newsgroups | gmane.comp.djb.bignum.devel |
|---|---|
| Message-ID | <[email protected]> |
My survey paper ``Fast multiplication and its applications'' is now
available from http://cr.yp.to/papers.html#multapps. This paper
* explains how various arithmetic operations on polynomials, power
series, integers, real numbers, and 2-adic numbers can be performed
in essentially linear time;
* explains all sorts of speedups---not computer-architecture issues,
but pretty much every known algebraic technique to save time for
FFT-sized inputs; and
* discusses the history in detail.
Let me know if I've missed any tricks or omitted any relevant part of
the literature; I want this paper to be a comprehensive one-stop shop
for people interested in the topic.
---D. J. Bernstein, Associate Professor, Department of Mathematics,
Statistics, and Computer Science, University of Illinois at Chicago