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Journal of Discrete Mathematical Sciences and Cryptography cover

Journal of Discrete Mathematical Sciences and Cryptography

(Since 1998)
Open Access ·Peer-reviewed·ISSN (Online): 2169-0065·ISSN (Print): 0972-0529

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Monthly Journal: Publishes theoretical and applied research in all areas of Discrete Mathematical Sciences, Cryptography, Combinatorics, Elliptic Curves and Information Security.

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Journal of Discrete Mathematical Sciences and Cryptography
Open Access Research Article

Construction of S-boxes with LBN and DBN ≥ 4

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pp. 1665–1682Vol. 26Issue 6September 2023DOI: 10.47974/JDMSC-1572 Crossmark XML
Received:
06 Oct 2021
Accepted:
10 Mar 2022
Published Online:
11 Sep 2023
Article type:
Research Article
Language:
EN
Article no.:
JDMSC-1572
Pages:
1665–1682

Abstract

There is always a need for good and safe S-boxes in block ciphers for secure communication. To improve the security of lightweight block ciphers, S-boxes with high linear and diiferential branch numbers (LBN and DBN) are utilized. Many of these S-boxes have been built in recent years. Sarkar et. al. built S-boxes with LBN and DBN both equal to 3. Kim Hangi et. al. also created 8-bit S-boxes using smaller S-boxes with at least 3 LBN and DBN. In this direction, we narrow the search space of 8 × 8 S-boxes with LBN = DBN = 4. We used the Feistel and Lai-Massey structures to build these S-boxes. We present a detailed explanation of such 8 × 8 S-boxes.

Keywords

Substitution boxFeistel and Lai-massey structuresLinear branch numberDifferential branch number

Subject Classifications

94A60

Acknowledgements

2105102

References

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