Paper 2009/053 Original: eprint.iacr.org/2009/053 ↗
New commutative semifields defined by PN multinomials
Abstract
We introduce infinite families of perfect nonlinear Dembowski-Ostrom multinomials over $F_{p^{2k}}$ where $p$ is any odd prime. We prove that for $k$ odd and $p\ne3$ these PN functions define new commutative semifields (in part by studying the nuclei of these semifields). This implies that these functions are CCZ-inequivalent to all previously known PN mappings.
Metadata
- Available format(s)
PDF- Category
- Foundations
- Publication info
- Preprint.
- History
- 2009-02-03: last updated
- 2009-02-03: published
- Short URL
- https://ia.cr/2009/053
- License
- https://creativecommons.org/licenses/by/4.0/
BibTeX
@misc{cryptoeprint:2009/053,
author = {Lilya Budaghyan and Tor Helleseth},
title = {New commutative semifields defined by PN multinomials},
howpublished = {Cryptology {ePrint} Archive, Paper 2009/053},
year = {2009},
url = {https://eprint.iacr.org/2009/053}
}