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In 1974, Dillon introduced two significant classes of bent functions, namely the Maiorana–McFarland class and the Partial Spread class. In this article, we studied a new subclass of biquadratic Maiorana–McFarland type bent functions and presented a lower bound on the third-order nonlinearity of this class. The resulting lower bounds are better than the ones from the earlier bounds of Carlet (for all biquadratic Boolean functions) and Garg et al. (for a different subclass).
Applicable Algebra in Engineering Communication and Computing – Springer Journals
Published: May 31, 2023
Keywords: Boolean function; Walsh Hadamard transform; Higher-order nonlinearity; Maiorana–McFarland type bent functions.; 94A60; 4C109; 06E30
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