Paper 2017/1081 Original: eprint.iacr.org/2017/1081 ↗

The Montgomery and Joye Powering Ladders are Dual

Colin D. Walter
Abstract

Hitherto the duality between left-to-right and right-to-left exponentiation algorithms has been a loosely defined concept. Recently, the author made the definition precise by adding requirements on space usage and operation types. Here it is shown that the Montgomery and Joye powering ladders are dual in this sense. Several versions of these algorithms are derived naturally with a cost-free, natural, built-in blinding mechanism as a side channel counter-measure.

Metadata
Available format(s)
PDF
Category
Foundations
Publication info
Preprint.
History
2017-11-10: last updated
2017-11-10: published
Short URL
https://ia.cr/2017/1081
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2017/1081,
      author = {Colin D.  Walter},
      title = {The Montgomery and Joye Powering Ladders are Dual},
      howpublished = {Cryptology {ePrint} Archive, Paper 2017/1081},
      year = {2017},
      url = {https://eprint.iacr.org/2017/1081}
}
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