Skip to main content
Fachgebiete
Automobil + Motoren Bauwesen + Immobilien Business IT + Informatik Elektrotechnik + Elektronik Energie + Nachhaltigkeit Finance + Banking Management + Führung Marketing + Vertrieb Maschinenbau + Werkstoffe Versicherung + Risiko
DE
EN
Bücher
Zeitschriften
Themenseiten
Organisationspsychologie Projektmanagement Marketing Smart Manufacturing
Weitere Formate
Podcasts Webinare Technik Webinare Wirtschaft Kongresse Veranstaltungskalender Awards
Jetzt Einzelzugang starten
Zugang für Unternehmen
Referenzkunden
SLX-Digitalkonferenz: Zukunftswerkstatt 2024

Mehr Umsatz mit Top-Kontakten

Am 7. Mai erfahren Sie, wie Vertriebsteams Leadgenerierung, Leadnurturing und Leadstrategien effizient steuern können.
Erweiterte Suche
Anmelden
nach oben
Wireless Personal Communications
Erschienen in: Wireless Personal Communications 4/2021

07.10.2020

A Novel Scheme of Substitution-Box Design Based on Modified Pascal’s Triangle and Elliptic Curve

verfasst von: Nasir Siddiqui, Amna Naseer, Muhammad Ehatisham-ul-Haq

Erschienen in: Wireless Personal Communications | Ausgabe 4/2021

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

A strong substitution-box is main ingredient in cryptography. Many encryption schemes have been proposed since 1970’s such as DES, AES and IDEA. In this paper we construct S-boxes using a new technique, our proposed algorithm relies on modified Pascal’s triangle and elliptic curve. The substitution-boxes are analyzed by non-linearity, strict avalanche criterion, bit independence criterion, differential approximation probability and linear approximation probability. Comparison is also made with some existing S-boxes such as AES, APA, Gray, \(S_{8}\) AES, Skipjack, Xyi and residue prime. We use our proposed substitution-boxes for image encryption and noise removal.
Vorheriger Artikel Optimum Power Allocation Based on Channel Conditions in Optical Satellite Downlinks
Nächster Artikel Physical Model Based Method to Generate Channel Coefficients for Nakagami-m Distribution

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

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!

Jetzt informieren

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!

Jetzt informieren

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!

Jetzt informieren
Literatur
1.
Paar, C., & Pelzl, J. (2009). Understanding cryptography: A textbook for students and practitioners. New York: Springer.MATH
2.
Hayat, U., & Azam, N. A. (2019). A novel image encryption scheme based on an elliptic curve. Signal Processing, 155, 391–402.CrossRef
3.
Nizam Chew, L. C., & Ismail, E. S. (2020). S-box construction based on linear fractional transformation and permutation function. Symmetry, 12(5), 826.CrossRef
4.
Azam, N. A., Hayat, U., & Ullah, I. (2018). An injective S-box design scheme over an ordered isomorphic elliptic curve and its characterization. Security and Communication Networks, 2018.
5.
Azam, N. A., Hayat, U., & Ullah, I. (2019). Efficient construction of a substitution box based on a Mordell elliptic curve over a finite field. Frontiers of Information Technology & Electronic Engineering, 20(10), 1378–1389.CrossRef
6.
Hayat, U., Azam, N. A., & Asif, M. (2018). A method of generating 8 × 8 substitution boxes based on elliptic curves. Wireless Personal Communications, 101(1), 439–451.CrossRef
7.
Jamal, S. S., et al. (2019). Construction of cryptographic S-boxes based on mobius transformation and chaotic tent-sine system. IEEE Access, 7, 173273–173285.CrossRef
8.
Hussain, I., Shah, T., & Gondal, M. A. (2012). A novel approach for designing substitution-boxes based on nonlinear chaotic algorithm. Nonlinear Dynamics, 70(3), 1791–1794.MathSciNetCrossRef
9.
Hussain, I., Shah, T., Mahmood, H., & Gondal, M. A. (2013). A projective general linear group-based algorithm for the construction of substitution box for block ciphers. Neural Computing and Applications, 22(6), 1085–1093.CrossRef
10.
Kumar, D. S., Suneetha, C. H., & Chandrasekhar. (2012). Encryption of data using elliptic curve over finite fields. arXiv preprint arXiv:​1202.​1895.
11.
Miller, V. S. (1985) Use of elliptic curves in cryptography. In Conference on the theory and application of cryptographic techniques (pp. 417–426). Berlin: Springer.
12.
13.
Barry, P. (2007). On a family of generalized Pascal triangles defined by exponential Riordan arrays. Journal of Integer Sequences, 10(3).
14.
de Dormale, G. M., & Quisquater, J. J. (2007). High-speed hardware implementations of elliptic curve cryptography. A survey. Journal of Systems Architecture, 53(2–3), 72–84.CrossRef
15.
Hussain, I., Shah, T., Gondal, M. A., Khan, W. A., & Mahmood, H. (2013). A group theoretic approach to construct cryptographically strong substitution boxes. Neural Computing and Applications, 23(1), 97–104.CrossRef
16.
Daemen, J., & Rijmen, V. (2013). The design of Rijndael: AES-the advanced encryption standard. New York: Springer.MATH
17.
Kim*, J., & Phan**, R. C. W. (2009). Advanced differential-style cryptanalysis of the NSA’s skipjack block cipher. Cryptologia, 33(3), 246–270.CrossRef
18.
Tran, M. T., Bui, D. K., & Duong, A. D. (2008). Gray S-box for advanced encryption standard. In International conference on computational intelligence and security (Vol. 1, pp. 253–258). IEEE.
19.
Cui, L., & Cao, Y. (2007). A new S-box structure named affine-power-affine. International Journal of Innovative Computing, Information and Control, 3(3), 751–759.
20.
Hussain, I., Shah, T., & Mahmood, H. (2010). A new algorithm to construct secure keys for AES. International Journal of Contemporary Mathematical Sciences, 5(26), 1263–1270.MathSciNetMATH
21.
Shi, X. Y., You, X. H. Y. X., & Lam, K. Y. (2002). A method for obtaining cryptographically strong 8 × 8 S-boxes. International Conference on Information Networking and Application, 2(3), 14–20.
22.
Khan, M., & Shah, T. (2015). An efficient construction of substitution box with fractional chaotic system. Signal, Image and Video Processing, 9(6), 1335–1338.MathSciNetCrossRef
23.
Farwa, S., et al. (2017). An image encryption technique based on chaotic S-box and Arnold transform. International Journal of Advanced Computer Science and Applications, 8(6), 360–364.
24.
Hussain, I., Shah, T., Mahmood, H., Gondal, M. A., & Bhatti, R. (2011). Some analysis of S-box based on residue of prime number. Proceedings of the Pakistan Academy of Sciences, 48(2), 111–115.MathSciNet
25.
Mar, P. P., & Latt, K. M. (2008). New analysis methods on strict avalanche criterion of S-boxes. World Academy of Science, Engineering and Technology, 48(150–154), 25.
26.
Li, C., Lin, D., & Lü, J. (2017). Cryptanalyzing an image-scrambling encryption algorithm of pixel bits. IEEE Multimedia, 24(3), 64–71.CrossRef
27.
Hussain, I., Anees, A., Aslam, M., Ahmed, R., & Siddiqui, N. (2018). A noise-resistant symmetric key cryptosystem based on S 8 S-boxes and chaotic maps. The European Physical Journal Plus, 133(4), 167.CrossRef
Metadaten
Titel
A Novel Scheme of Substitution-Box Design Based on Modified Pascal’s Triangle and Elliptic Curve
verfasst von
Nasir Siddiqui
Amna Naseer
Muhammad Ehatisham-ul-Haq
Publikationsdatum
07.10.2020
Verlag
Springer US
Erschienen in
Wireless Personal Communications / Ausgabe 4/2021
Print ISSN: 0929-6212
Elektronische ISSN: 1572-834X
DOI
https://doi.org/10.1007/s11277-020-07832-y

Weitere Artikel der Ausgabe 4/2021

Wireless Personal Communications 4/2021 Zur Ausgabe

OriginalPaper

Cooperative Physical Layer Security Transmission Scheme Based on Energy Harvesting

OriginalPaper

A Pragmatic Business Approach to a Novel C5 Concept ATMAN

OriginalPaper

A Self-powered Wearable Wireless Sensor System Powered by a Hybrid Energy Harvester for Healthcare Applications

ReviewPaper

QoS-Aware Optical Fog-Assisted Cyber-Physical System in the 5G Ready Heterogeneous Network

OriginalPaper

Constrained Message Length Coding for Low Peak to Average Power Ratio in FBMC: OQAM Systems

OriginalPaper

Low Complexity Resource Allocation Techniques for Symmetrical Services in OFDMA Systems

Neuer Inhalt

    Bildnachweise