Difference between revisions of "Some APN functions CCZ-equivalent to x^3 + tr n(x^9) and CCZ-inequivalent to the Gold functions over GF(2^n)"

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Some APN functions CCZ-equivalent to <math>x^3+tr_{n}(x^9)</math> and CCZ-inequivalent to the Gold functions over <math>\mathbb{F}_{2^n}</math> (constructed in <ref>Budaghyan L, Carlet C, Leander G. Constructing new APN functions from known ones. Finite Fields and Their Applications. 2009 Apr 1;15(2):150-9.</ref>)
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Some APN functions CCZ-equivalent to <math>x^3+tr_{n}(x^9)</math> and CCZ-inequivalent to the Gold functions over <math>\mathbb{F}_{2^n}</math><ref>L. Budaghyan, C. Carlet, G. Leander. Constructing new APN functions from known ones. Finite Fields and Their Applications, v. 15, issue 2, pp. 150-159, April 2009. https://doi.org/10.1016/j.ffa.2008.10.001</ref>.
  
 
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Revision as of 19:21, 9 July 2020

Some APN functions CCZ-equivalent to and CCZ-inequivalent to the Gold functions over [1].

Functions Conditions
odd,
even,
,
, odd
  1. L. Budaghyan, C. Carlet, G. Leander. Constructing new APN functions from known ones. Finite Fields and Their Applications, v. 15, issue 2, pp. 150-159, April 2009. https://doi.org/10.1016/j.ffa.2008.10.001