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ZENODO
Dataset . 2020
License: CC BY
Data sources: Datacite
image/svg+xml art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos Open Access logo, converted into svg, designed by PLoS. This version with transparent background. http://commons.wikimedia.org/wiki/File:Open_Access_logo_PLoS_white.svg art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos http://www.plos.org/
ZENODO
Dataset . 2020
License: CC BY
Data sources: ZENODO
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New Instances of Quadratic APN Functions in Dimension Eight

Authors: Beierle, Christof; Leander, Gregor;

New Instances of Quadratic APN Functions in Dimension Eight

Abstract

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.

{"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."]}

Related Organizations
Keywords

almost perfect nonlinear, S-box, vectorial boolean function, differential cryptanalysis

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popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
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This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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