Skip to main content
Disciplines
Automotive Business IT + Informatics Construction + Real Estate Electrical Engineering + Electronics Energy + Sustainability Insurance + Risk Finance + Banking Management + Leadership Marketing + Sales Mechanical Engineering + Materials
DE
EN
Books
Journals
Events
Topic Page
Marketing
Log in
Learn more about individual access
Request company access
Electric Powertrains and Energy Systems 2025 | 26 + 27 March 2025

19th International MTZ Congress on Future Powertrains

Take this opportunity to attend the conference. Experts from the automotive industry, energy providers, and grid operators will meet up with representatives from politics and science to discuss important topics for this sector.
EXTENDED SEARCH
Log in
Top
Applicable Algebra in Engineering, Communication and Computing
Published in:

15-10-2021 | Original Paper

A new class of differential 4-uniform permutations from exponential permutation

Authors: R. K. Sharma, P. R. Mishra, Yogesh Kumar

Published in: Applicable Algebra in Engineering, Communication and Computing | Issue 6/2023

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

In this paper, we study the differential \(\delta \)-uniform property of two position swapped Exponential Welch Costas (EWC) permutations on \({\mathbb {Z}}_{p-1}\) and construct permutations with \(\delta = 4, 6\) for different values of p. We calculate the number of swapped EWC permutations with differential uniformity 6 for primes of the form \(4d+3\). For primes of the form \(4d+1\), we obtain a lower bound on the number of swapped EWC permutations with differential uniformity 4.
previous article LCD codes from equitable partitions of association schemes
next article An identification system based on the explicit isomorphism problem

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

inform now
Literature
1.
2.
Biham, E., Shamir, A.: Differential cryptanalysis of DES-like cryptosystems (extended abstract). In: A. Menezes, S.A. Vanstone (eds) Adv. Cryptol.-CRYPTO’90,10th Annu. Int. Cryptol. Conf, volume 537 of Santa Barbara, CA, Lecture Notes in Computer Science, pp. 2–21. Springer, Berlin (1991)
3.
Browning, K.A., Dillon, J.F., McQuistan, M.T., Wolfe, A.J.: An APN permutation in dimension six. In: Finite Fields: Theory and Applications, Volume 518 of Contemporary Mathematics, pp. 33–42. American Mathematical Soceity (2010)
4.
5.
Drakakis, K., Gow, R., McGuire, G.: APN permutations on \(\mathbb{Z}_n\) and Costas arrays. Discret. Appl. Math. 157, 3320–3326 (2009)CrossRefMATH
6.
Drakakis, K., Requena, V., McGuire, G.: On the nonlinearity of exponential welch costas functions. IEEE Trans. Inf. Theory 56(3), 1230–1238 (2010)MathSciNetCrossRefMATH
7.
8.
Massey, J.L.: SAFER K-64: a byte-oriented block ciphering algorithm. In: Fast Software Encryption 1993, Volume 809 of LNCS, pp. 1–17 (1994)
9.
Perrin, L., Udovenko, A., Biryukov, A.: Cryptanalysis of a theorem: decomposing the only known solution to the Big APN problem. In: Robshaw, M., Katz, J. (eds.) Advances in Cryptology–CRYPTO 2016, pp. 93–122. Springer, Berlin, Heidelberg (2016)CrossRef
10.
11.
Qu, L.J., Tan, Y., Tan, C.H., Li, C.: Constructing differentially 4-uniform permutations over \(\mathbb{F}_{2^{2k}}\) via the switching method. IEEE Trans. Inf. Theory 59(7), 4675–4686 (2013)CrossRefMATH
12.
Xu, G., Qu, L.: Two classes of differentially 4-uniform permutations over \(\mathbb{ F}_{2^n}\) with n even. Adv. Math. Commun. 14(1), 97–110 (2020)MathSciNetCrossRefMATH
13.
Yu, Y.Y., Wang, M.S., Li, Y.Q.: Constructing differential 4-uniform permutations from known ones. Chin. J. Electron. 22(3), 495–499 (2013)
14.
Zha, Z., Hu, L., Sun, S.: Constructing new differentially 4-uniform permutations from the inverse function. Finite Fields Appl. 25, 64–78 (2014)MathSciNetCrossRefMATH
Metadata
Title
A new class of differential 4-uniform permutations from exponential permutation
Authors
R. K. Sharma
P. R. Mishra
Yogesh Kumar
Publication date
15-10-2021
Publisher
Springer Berlin Heidelberg
Published in
Applicable Algebra in Engineering, Communication and Computing / Issue 6/2023
Print ISSN: 0938-1279
Electronic ISSN: 1432-0622
DOI
https://doi.org/10.1007/s00200-021-00528-1

Other articles of this Issue 6/2023

Quantum MDS and synchronizable codes from cyclic codes of length over

  • Original Paper

Metric dimension of complement of annihilator graphs associated with commutative rings

  • Original Paper

Construction of constant dimension codes via improved inserting construction

  • Original Paper

Best Paper Award in Memory of Jacques Calmet

  • Announcement

Two-valued cross correlation distributions between binary m sequences and their decimation sequences

  • Original Paper

On symbol-pair distances of repeated-root constacyclic codes of length over and MDS symbol-pair codes

  • Original Paper

Premium Partner

    Image Credits