Title :
New classes of almost bent and almost perfect nonlinear polynomials
Author :
Budaghyan, Lilya ; Carlet, Claude ; Pott, Alexander
Author_Institution :
Dept. of Math., Univ. of Trento
fDate :
3/1/2006 12:00:00 AM
Abstract :
New infinite classes of almost bent and almost perfect nonlinear polynomials are constructed. It is shown that they are affine inequivalent to any sum of a power function and an affine function
Keywords :
Boolean functions; affine transforms; cryptography; polynomials; CCZ-equivalence; Carlet-Charpin-Zinoviev equivalence; affine function; almost bent nonlinear polynomial; almost perfect nonlinear polynomial; power function; vectorial Boolean function; Algebra; Boolean functions; Cryptography; Geometry; Gold; Mathematics; Polynomials; Affine equivalence; Carlet–Charpin–Zinoviev (CCZ)-equivalence; almost bent; almost perfect nonlinear; differential uniformity; nonlinearity; vectorial Boolean function;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2005.864481
