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Published September 15, 2020 | Version 1.0
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New Instances of Quadratic APN Functions in Dimension Eight

Creators

  • 1. Ruhr University Bochum, Bochum, Germany

Description

This dataset contains the look-up tables of the 12,923 new quadratic APN instances in dimension eight found by utilizing linear self-equivalences and/or applying the switching construction of [EP09]. A preprint of our paper is available at arxiv: C. Beierle and G. Leander. New instances of quadratic APN functions. 2020.

Together with the 23 APN instances listed in [EP09], the 8,157 APN instances constructed by the QAM method [YWL14], and the 10 APN instances presented in [WTG13], those are all 8-bit APN functions up to CCZ-equivalence known so far.

Files

apn.txt

Files (15.1 MB)

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md5:cd4e99ff5fcdd6c5fc6e8161ca571a9b
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Additional details

Related works

Is derived from
Software: https://github.com/cbe90/quadratic_apn (URL)
Is documented by
Preprint: https://arxiv.org/abs/2009.07204 (URL)

References

  • [EP09]: Y. Edel and A. Pott. A new almost perfect nonlinear function which is not quadratic. Adv. Math. Commun., 3(1):59-81, 2009.
  • [YWL14]: Y. Yu, M. Wang, and Y. Li. A matrix approach for constructing quadratic APN functions. Des. Codes Cryptogr., 73(2):587-600, 2014. Updated version available via https://eprint.iacr.org/2013/007.pdf
  • [WTG13]: G. Weng, Y. Tan, and G. Gong. On quadratic almost perfect nonlinear functions and their related algebraic object. Workshop on Coding and Cryptography, WCC 2013.