Niho bent functions from quadratic o-monomials

Lilya Budaghyan, Alexander Kholosha, Claude Carlet, Tor Helleseth · 2014

In this paper, we extend the class of Niho bent function consisting of 2rterms discovered by Leander and Kholosha. The extension is achieved by inserting coefficients of the power terms in the original function. Doing this, we obtain relation to all the existing quadratic o-monomials. We also calculate the algebraic degree of any function in the extended class.

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