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Differential Uniformity for Arrays

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Cryptography and Coding (Cryptography and Coding 2003)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2898))

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Abstract

The susceptibility of iterated block ciphers to differential cryptanalysis is minimised by using S-box functions with low differential uniformity.

We extend the idea of differential uniformity to S-boxes with array inputs, giving a unified perspective from which to approach existence and construction problems for highly nonlinear functions. Properties of 2D differentially m-uniform functions are derived, two constructions are given and relationships with known 1D PN and APN functions are demonstrated.

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Authors and Affiliations

  1. RMIT University, Melbourne, VIC, 3001, AUSTRALIA

    K. J. Horadam

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  1. K. J. Horadam
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Editors and Affiliations

  1. Information Security Group, Royal Holloway, University of London, TW20 0EX, Egham, Surrey, U.K.

    Kenneth G. Paterson

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Horadam, K.J. (2003). Differential Uniformity for Arrays. In: Paterson, K.G. (eds) Cryptography and Coding. Cryptography and Coding 2003. Lecture Notes in Computer Science, vol 2898. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-40974-8_10

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  • DOI: https://doi.org/10.1007/978-3-540-40974-8_10

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-20663-7

  • Online ISBN: 978-3-540-40974-8

  • eBook Packages: Springer Book Archive

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