Paper 2019/1355 Original: eprint.iacr.org/2019/1355 ↗

A Nonlinear Multivariate Cryptosystem Based on a Random Linear Code

Daniel Smith-Tone
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.
History
2019-11-27: last updated
2019-11-27: published
Short URL
https://ia.cr/2019/1355
License
https://creativecommons.org/licenses/by/4.0/

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},
      url = {https://eprint.iacr.org/2019/1355}
}
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