Paper 2017/064

Fast Montgomery-like Square Root Computation over $GF(2^m)$ for All Trinomials

Yin Li and Yu Zhang

Abstract

This letter is concerned with an extension of square root computation over $GF(2^m)$ defined by irreducible trinomials. We introduce a new type of Montgomery-like square root formulae, which is more efficient compared with classic square root operation. By choosing proper Montgomery factor regarding to different types of trinomials, the space and time complexities of our proposal outperform or match the best results. Furthermore, a practical application of the Montgomery-like square root in exponentiation computation is also presented.

Metadata
Available format(s)
PDF
Category
Foundations
Publication info
Preprint. MINOR revision.
Keywords
finite fieldsquare root
Contact author(s)
yunfeiyangli @ gmail com
History
2017-08-09: last of 2 revisions
2017-01-31: received
See all versions
Short URL
https://ia.cr/2017/064
License
Creative Commons Attribution
CC BY

BibTeX

@misc{cryptoeprint:2017/064,
      author = {Yin Li and Yu Zhang},
      title = {Fast Montgomery-like Square Root Computation over ${GF}(2^m)$ for All Trinomials},
      howpublished = {Cryptology {ePrint} Archive, Paper 2017/064},
      year = {2017},
      url = {https://eprint.iacr.org/2017/064}
}
Note: In order to protect the privacy of readers, eprint.iacr.org does not use cookies or embedded third party content.