Known infinite families of APN power functions over GF(2^n): Difference between revisions

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<td><math>\gcd(i,n) = 1</math></td>
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<td> <ref>Robert Gold, ''Maximal recursive sequences with 3-valued recursive cross-correlation functions (corresp.)'', IEEE transactions on Information Theory, 14(1):154-156, 1968</ref><ref>Kaisa Nyberg, ''Differentially uniform mappings for cryptography'', Workshop on the Theory and Application of Cryptographic Techniques, pp. 55-64, Springer, 1993</ref>
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Revision as of 00:00, 26 November 2018

Family Exponent Conditions [math]\displaystyle{ \deg(x^d) }[/math] Reference
Gold [math]\displaystyle{ 2^i + 1 }[/math] [math]\displaystyle{ \gcd(i,n) = 1 }[/math] 2 [1][2]
  1. Robert Gold, Maximal recursive sequences with 3-valued recursive cross-correlation functions (corresp.), IEEE transactions on Information Theory, 14(1):154-156, 1968
  2. Kaisa Nyberg, Differentially uniform mappings for cryptography, Workshop on the Theory and Application of Cryptographic Techniques, pp. 55-64, Springer, 1993