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Two Classes of Quadratic APN Binomials Inequivalent to Power Functions.
- Source :
-
IEEE Transactions on Information Theory . Sep2008, Vol. 54 Issue 9, p4218-4229. 12p. - Publication Year :
- 2008
-
Abstract
- This paper introduces the first found infinite classes of almost perfect nonlinear (APN) polynomials which are not Carlet—Charpin—Zinoviev (CCZ)-equivalent to power functions (at least for some values of the number of variables). These are two classes of APN binomials from F2n to F2n (for n divisible by 3, resp., 4). We prove that these functions are extended affine (EA)-inequivalent to any power function and that they are CCZ-inequivalent to the Gold, Kasami, inverse, and Dobbertin functions when n ≥ 12. This means that for n even they are CCZ-inequivalent to any known APN function. In particular, for n = 12, 20, 24, they are therefore CCZ-inequivalent to any power function. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00189448
- Volume :
- 54
- Issue :
- 9
- Database :
- Academic Search Index
- Journal :
- IEEE Transactions on Information Theory
- Publication Type :
- Academic Journal
- Accession number :
- 34433693
- Full Text :
- https://doi.org/10.1109/TIT.2008.928275