Sign of Permutation Induced by Nagata Automorphism over Finite Fields

Keisuke Hakuta and Tsuyoshi Takagi

Journal of Mathematics Research, 2017, vol. 9, issue 5, 54-60

Abstract: This paper proves that the Nagata automorphism over a finite field can be mimicked by a tame automorphism which is a composition of four elementary automorphisms. By investigating the sign of the permutations induced by the above elementary automorphisms, one can see that if the Nagata automorphism is defined over a prime field of characteristic two, the Nagata automorphism induces an odd permutation, and otherwise, the Nagata automorphism induces an even permutation.

Keywords: polynomial automorphism; finite field; permutation; nagata automorphism; multivariate polynomial cryptography (search for similar items in EconPapers)
Date: 2017
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.ccsenet.org/journal/index.php/jmr/article/view/69497/38413 (application/pdf)
http://www.ccsenet.org/journal/index.php/jmr/article/view/69497 (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:ibn:jmrjnl:v:9:y:2017:i:5:p:54

Access Statistics for this article

More articles in Journal of Mathematics Research from Canadian Center of Science and Education Contact information at EDIRC.
Bibliographic data for series maintained by Canadian Center of Science and Education ().