New Perfect Nonlinear Functions and Their Semifields [article]

Jinquan Luo, Junru Ma
2019 arXiv   pre-print
In this paper, two new classes of perfect nonlinear functions over F_p^2m are proposed, where p is an odd prime. Furthermore, we investigate the nucleus of the corresponding semifields of these functions and show that the semifields are not isotopic to all the known semifields. Particularly, the new perfect nonlinear functions are CCZ-inequivalent to other classes in general.
arXiv:1905.01041v2 fatcat:who2cnghpng2fh5dzbxci5qxbe