Paper 2004/198 Original: eprint.iacr.org/2004/198 ↗

Long Modular Multiplication for Cryptographic Applications

Laszlo Hars
Abstract

A digit-serial, multiplier-accumulator based cryptographic co-processor architecture is proposed, similar to fix-point DSP's with enhancements, supporting long modular arithmetic and general computations. Several new “column-sum” variants of popular quadratic time modular multiplication algorithms are presented (Montgomery and interleaved division-reduction with or without Quisquater scaling), which are faster than the traditional implemen-tations, need no or very little memory beyond the operand storage and perform squaring about twice faster than general multiplications or modular reductions. They provide similar advantages in software for general purpose CPU's.

Metadata
Available format(s)
PDF
Category
Implementation
Publication info
Preprint.
History
2004-08-15: last updated
2004-08-15: published
Short URL
https://ia.cr/2004/198
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2004/198,
      author = {Laszlo Hars},
      title = {Long Modular Multiplication for Cryptographic Applications},
      howpublished = {Cryptology {ePrint} Archive, Paper 2004/198},
      year = {2004},
      url = {https://eprint.iacr.org/2004/198}
}
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