Paper 2015/1003 Original: eprint.iacr.org/2015/1003 ↗

Results on polynomial interpolation with mixed modular operations and unknown moduli

Oscar Garcia-Morchon
Ronald Rietman
Igor Shparlinski
Ludo Tolhuizen
Abstract

Motivated by a recently introduced HIMMO key predistribution scheme, we investigate the limits of various attacks on the polynomial interpolation problem with mixedmodular operations and hidden moduli. We firstly review the classical attack and consider itin a quantum-setting. Then, we introduce new techniques for finding out the secret moduli and consider quantum speed-ups.

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Available format(s)
PDF
Publication info
Preprint.
History
2015-10-16: last updated
2015-10-16: published
Short URL
https://ia.cr/2015/1003
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2015/1003,
      author = {Oscar Garcia-Morchon and Ronald Rietman and Igor Shparlinski and Ludo Tolhuizen},
      title = {Results on polynomial interpolation with mixed modular operations and unknown moduli},
      howpublished = {Cryptology {ePrint} Archive, Paper 2015/1003},
      year = {2015},
      url = {https://eprint.iacr.org/2015/1003}
}
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