Paper 2005/077 Original: eprint.iacr.org/2005/077 ↗

Taxonomy of Public Key Schemes based on the problem of Multivariate Quadratic equations

Christopher Wolf
Bart Preneel
Abstract

Multivariate quadratic systems can be used to construct both secure and efficient public key schemes. In this article, we introduce the necessary mathematical tools to deal with multivariate quadratic systems, present an overview of important schemes known so far and outline how they fit into a taxonomy of only four basic schemes and some generic modifiers. Moreover, we suggest new constructions not previously considered. In this context, we propose some open problems and new research directions in the field of multivariate quadratic schemes.

Metadata
Available format(s)
PDF
Category
Public-key cryptography
Publication info
Preprint.
History
2005-12-15: last updated
2005-03-16: published
Short URL
https://ia.cr/2005/077
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2005/077,
      author = {Christopher Wolf and Bart Preneel},
      title = {Taxonomy of Public Key Schemes based on the problem of Multivariate Quadratic equations},
      howpublished = {Cryptology {ePrint} Archive, Paper 2005/077},
      year = {2005},
      url = {https://eprint.iacr.org/2005/077}
}
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