Publication result detail

A note on tame polynomial automorphisms and the security of TTM cryptosystem

HRDINA, J.; KUREŠ, M.; VAŠÍK, P.

Original Title

A note on tame polynomial automorphisms and the security of TTM cryptosystem

English Title

A note on tame polynomial automorphisms and the security of TTM cryptosystem

Type

WoS Article

Original Abstract

In this paper we discuss two basic ways of TTM cryptosystem modifications. We suggest to add one more polynomial transformation into the coding process, and we discuss the properties of Frobenius automorphism as a possible tool to prevent the so-called Patarin attack. As TTM is based on polynomial automorphisms of finite field F, we also study automorphisms over specific fields, namely certain field extensions.

English abstract

In this paper we discuss two basic ways of TTM cryptosystem modifications. We suggest to add one more polynomial transformation into the coding process, and we discuss the properties of Frobenius automorphism as a possible tool to prevent the so-called Patarin attack. As TTM is based on polynomial automorphisms of finite field F, we also study automorphisms over specific fields, namely certain field extensions.

Keywords

Polynomial Automorphisms, Public Key Cryptography, Multivariate Cryptosystems.

Key words in English

Polynomial Automorphisms, Public Key Cryptography, Multivariate Cryptosystems.

Authors

HRDINA, J.; KUREŠ, M.; VAŠÍK, P.

RIV year

2011

Released

23.12.2010

ISBN

1683-3511

Periodical

Applied and Computational Mathematics

Volume

9

Number

2

State

Republic of Azerbaijan

Pages from

226

Pages to

233

Pages count

8

BibTex

@article{BUT50936,
  author="Jaroslav {Hrdina} and Miroslav {Kureš} and Petr {Vašík}",
  title="A note on tame polynomial automorphisms and the security of TTM cryptosystem",
  journal="Applied and Computational Mathematics",
  year="2010",
  volume="9",
  number="2",
  pages="226--233",
  issn="1683-3511"
}