On the differential properties of the power mapping <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:msup><mml:mrow><mml:mi>x</mml:mi></mml:mrow><mml:mrow><mml:msup><mml:mrow><mml:mi>p</mml:mi></mml:mrow><mml:mrow><mml:mi>m</mml:mi></mml:mrow></mml:msup><mml:mo linebreak="badbreak" linebreakstyle="after">+</mml:mo><mml:mn>2</mml:mn></mml:mrow></mml:msup></mml:math>-Reference-Cited by-同舟云学术

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On the differential properties of the power mapping xpm+2

Published:2022-12 Issue: Volume:84 Page:102100
ISSN:1071-5797
Container-title:Finite Fields and Their Applications
language:en
Short-container-title:Finite Fields and Their Applications

Author:

Man Yuying,Xia Yongbo^ORCID,Li Chunlei,Helleseth Tor

Funder

National Natural Science Foundation of China

Norges Forskningsråd

Fundamental Research Funds for the Central Universities

South-Central University for Nationalities

Publisher

Elsevier BV

Subject

Applied Mathematics,General Engineering,Algebra and Number Theory,Theoretical Computer Science

Reference30 articles.

1. Feistel structures for MPC and more;Albrecht,2019

2. Design of symmetric-key primitives for advanced cryptographic protocols;Aly;IACR Trans. Symmetric Cryptol.,2020

3. Differential properties of power functions;Blondeau;Int. J. Inf. Coding Theory,2010

4. More differentially 6-uniform power functions;Blondeau;Des. Codes Cryptogr.,2014

5. Differential properties of x↦x2t−1;Blondeau;IEEE Trans. Inf. Theory,2011

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1. On the second-order zero differential spectra of some power functions over finite fields;Cryptography and Communications;2024-09-04

2. A further study on the Ness-Helleseth function;Finite Fields and Their Applications;2024-09

3. On a class of APN power functions over odd characteristic finite fields: Their differential spectrum and c-differential properties;Discrete Mathematics;2024-04

4. The Complete Differential Spectrum of a Class of Power Permutations Over Odd Characteristic Finite Fields;IEEE Transactions on Information Theory;2023-11

5. Differential spectrum of a class of APN power functions;Designs, Codes and Cryptography;2023-05-06

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