Another class of perfect nonlinear polynomial functions

Menglong Su; Zhengbang Zha; Zhonghai Xu

doi:10.1155/2013/917507

Another class of perfect nonlinear polynomial functions

Menglong Su^*
, Zhengbang Zha
, Zhonghai Xu

^*Corresponding author for this work

School of Astronautics

Luoyang Normal University
Jilin University
CAS - Institute of Information Engineering

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

Perfect nonlinear (PN) functions have been an interesting subject of study for a long time and have applications in coding theory, cryptography, combinatorial designs, and so on. In this paper, the planarity of the trinomials x ^p ^{k + 1}+ u x ²+ v x ²p ^kover GF(p ^{2 k}) are presented. This class of PN functions are all EA-equivalent to x ₂.

Original language	English
Article number	917507
Journal	Mathematical Problems in Engineering
Volume	2013
DOIs	https://doi.org/10.1155/2013/917507
State	Published - 2013

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abstract = "Perfect nonlinear (PN) functions have been an interesting subject of study for a long time and have applications in coding theory, cryptography, combinatorial designs, and so on. In this paper, the planarity of the trinomials x p k + 1+ u x 2+ v x 2p kover GF(p 2 k) are presented. This class of PN functions are all EA-equivalent to x 2.",

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AB - Perfect nonlinear (PN) functions have been an interesting subject of study for a long time and have applications in coding theory, cryptography, combinatorial designs, and so on. In this paper, the planarity of the trinomials x p k + 1+ u x 2+ v x 2p kover GF(p 2 k) are presented. This class of PN functions are all EA-equivalent to x 2.

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Another class of perfect nonlinear polynomial functions

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