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

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