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Correlations Between (Nonlinear) Combiners of Input and Output of Random Functions and Permutations

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Cyber Security, Cryptology, and Machine Learning (CSCML 2023)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 13914))

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Abstract

Linear cryptanalysis considers correlations between linear input and output combiners for block ciphers and stream ciphers. Daemen and Rijmen (2007) had obtained the distributions of the correlations between linear input and output combiners of uniform random functions and uniform random permutations. The present work generalises these results to obtain the distributions of the correlations between arbitrary input and output combiners of uniform random functions and uniform random permutations.

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References

  1. Daemen, J., Rijmen, V.: Probability distributions of correlation and differentials in block ciphers. J. Math. Cryptol. 1(3), 221–242 (2007)

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Authors and Affiliations

  1. Applied Statistics Unit, Indian Statistical Institute, 203, B.T.Road, Kolkata, 700108, India

    Subhabrata Samajder & Palash Sarkar

Authors
  1. Subhabrata Samajder
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  2. Palash Sarkar
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Correspondence to Subhabrata Samajder .

Editor information

Editors and Affiliations

  1. Ben-Gurion University of the Negev, Be’er Sheva, Israel

    Shlomi Dolev

  2. Ben-Gurion University of the Negev, Be’er Sheva, Israel

    Ehud Gudes

  3. Zama, Meythet, France

    Pascal Paillier

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Samajder, S., Sarkar, P. (2023). Correlations Between (Nonlinear) Combiners of Input and Output of Random Functions and Permutations. In: Dolev, S., Gudes, E., Paillier, P. (eds) Cyber Security, Cryptology, and Machine Learning. CSCML 2023. Lecture Notes in Computer Science, vol 13914. Springer, Cham. https://doi.org/10.1007/978-3-031-34671-2_13

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  • DOI: https://doi.org/10.1007/978-3-031-34671-2_13

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-031-34670-5

  • Online ISBN: 978-3-031-34671-2

  • eBook Packages: Computer ScienceComputer Science (R0)

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