APN permutations on <mml:math altimg="si11.gif" display="inline" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:msub><mml:mrow><mml:mi mathvariant="double-struck">Z</mml:mi></mml:mrow><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:msub></mml:math> and Costas arrays-Reference-Cited by-同舟云学术

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APN permutations on Zn and Costas arrays

Published:2009-08 Issue:15 Volume:157 Page:3320-3326
ISSN:0166-218X
Container-title:Discrete Applied Mathematics
language:en
Short-container-title:Discrete Applied Mathematics

Author:

Drakakis Konstantinos,Gow Rod,McGuire Gary

Publisher

Elsevier BV

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics

Reference6 articles.

1. On almost perfect nonlinear permutations;Beth,1994

2. A review of costas arrays;Drakakis;Journal of Applied Mathematics,2006

3. J.L. Massey, SAFER K-64: A byte-oriented block-ciphering algorithm, Fast Software Encryption, 1993, pp. 1–17

4. Polynomial functions (modm);Mullen;Acta Mathematica, Hungarica,1984

5. Nonlinear functions in abelian groups and relative difference sets;Pott;Discrete Applied Mathematics,2004

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1. Construction of a cryptographic function based on Bose-type Sidon sets;AIMS Mathematics;2024

2. A New Transformation for Costas Arrays;IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences;2023-12-01

3. Construction of highly nonlinear permutations on Z2p with differential uniformity at most 8;Finite Fields and Their Applications;2023-12

4. Enhanced Advanced Encryption Standard;2023 27th International Conference on System Theory, Control and Computing (ICSTCC);2023-10-11

5. Multidimensional Costas Arrays and Their Periodicity;IEEE Transactions on Information Theory;2023-08

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