Paper 2011/589 Original: eprint.iacr.org/2011/589 ↗
Impact of Intel's New Instruction Sets on Software Implementation of $GF(2)[x]$ Multiplication
Abstract
PCLMULQDQ, a new instruction that supports $GF(2)[x]$ multiplication, was introduced by Intel in 2010. This instruction brings dramatic change to software implementation of multiplication in $GF(2^m)$ fields. In this paper, we present improved Karatsuba formulae for multiplying two small binary polynomials, compare different strategies for PCLMULQDQ-based multiplication in the five $GF(2^m)$ fields recommended by NIST and conclude the best design approaches to software implementation of $GF(2)[x]$ multiplication.
Metadata
- Available format(s)
PDF- Category
- Implementation
- Publication info
- Preprint.
- History
- 2012-03-22: last updated
- 2011-11-03: published
- Short URL
- https://ia.cr/2011/589
- License
- https://creativecommons.org/licenses/by/4.0/
BibTeX
@misc{cryptoeprint:2011/589,
author = {Chen Su and Haining Fan},
title = {Impact of Intel's New Instruction Sets on Software Implementation of $GF(2)[x]$ Multiplication},
howpublished = {Cryptology {ePrint} Archive, Paper 2011/589},
year = {2011},
url = {https://eprint.iacr.org/2011/589}
}