Welcome to the resource topic for 2024/1511
Title:
Some Classes of Cubic Monomial Boolean Functions with Good Second-Order Nonlinearity
Authors: RUCHI TELANG GODE
Abstract:It is well known that estimating a sharp lower bound on the second-order nonlinearity of a general class of cubic Booleanfunction is a difficult task. In this paper for a given integer n \geq 4, some values of s and t are determined for which cubic monomial Boolean functions of the form h_{\mu}(x)=Tr( \mu x^{2^s+2^t+1}) (n>s>t \geq 1) possess good lower bounds on their second-order nonlinearity. The obtained functions are worth considering for securing symmetric cryptosystems against various quadratic approximation attacks and fast algebraic attacks.
ePrint: https://eprint.iacr.org/2024/1511
See all topics related to this paper.
Feel free to post resources that are related to this paper below.
Example resources include: implementations, explanation materials, talks, slides, links to previous discussions on other websites.
For more information, see the rules for Resource Topics .