Paper 2019/1355

A Nonlinear Multivariate Cryptosystem Based on a Random Linear Code

Daniel Smith-Tone and Cristina Tone

Abstract

We introduce a new technique for building multivariate encryption schemes based on random linear codes. The construction is versatile, naturally admitting multiple modifications. Among these modifications is an interesting embedding modifier--- any efficiently invertible multivariate system can be embedded and used as part of the inversion process. In particular, even small scale secure multivariate signature schemes can be embedded producing reasonably efficient encryption schemes. Thus this technique offers a bridge between multivariate signatures, many of which have remained stable and functional for many years, and multivariate encryption, a historically more troubling area.

Metadata
Available format(s)
PDF
Category
Public-key cryptography
Publication info
Preprint. MINOR revision.
Keywords
Multivariate CryptographyencryptionMinRank
Contact author(s)
daniel-c smith @ louisville edu
daniel smith @ nist gov
History
2019-11-27: received
Short URL
https://ia.cr/2019/1355
License
Creative Commons Attribution
CC BY

BibTeX

@misc{cryptoeprint:2019/1355,
      author = {Daniel Smith-Tone and Cristina Tone},
      title = {A Nonlinear Multivariate Cryptosystem Based on a Random Linear Code},
      howpublished = {Cryptology ePrint Archive, Paper 2019/1355},
      year = {2019},
      note = {\url{https://eprint.iacr.org/2019/1355}},
      url = {https://eprint.iacr.org/2019/1355}
}
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