Alexander Pott

most citedA characterization of a class of maximum nonlinear functions

3 citations · 4 across the 3 of their papers we have counts for

collaborators

3 papers

math.CO2005

On abelian $(2^{2 m + 1} (2^{m - 1} + 1), 2^{m} (2^{m} + 1), 2^{m})$ -difference sets

K. T. Arasu, Yu Qing Chen, Alexander Pott

In this paper we prove that an abelian group contains $(2^{2 m + 1} (2^{m - 1} + 1), 2^{m} (2^{m} + 1), 2^{m})$ -difference sets with $m ⩾ 3$ if and only if it contains an elementary abelian…

math.CO2005★ 3 cited

A characterization of a class of maximum nonlinear functions

Doreen Hertel, Alexander Pott

Maximum nonlinear functions on finite fields are widely used in cryptography because the coordinate functions have large distance to linear functions. More precisely, the Hamming d…

math.CO2005★ 1 cited

New Classes of Almost Bent and Almost Perfect Nonlinear Polynomials

Lilya Budaghyan, Claude Carlet, Alexander Pott

We construct infinite classes of almost bent and almost perfect nonlinear polynomials, which are affinely inequivalent to any sum of a power function and an affine function.

On abelian (22m+1(2m−1+1),2m(2m+1),2m)-difference sets

A characterization of a class of maximum nonlinear functions

New Classes of Almost Bent and Almost Perfect Nonlinear Polynomials

On abelian $(2^{2 m + 1} (2^{m - 1} + 1), 2^{m} (2^{m} + 1), 2^{m})$ -difference sets