Welcome to the resource topic for 2021/1041
Title:
On the Multiplicative Complexity of Cubic Boolean Functions
Authors: Meltem Sonmez Turan, Rene Peralta
Abstract:Multiplicative complexity is a relevant complexity measure for many advanced cryptographic protocols such as multi-party computation, fully homomorphic encryption, and zero-knowledge proofs, where processing AND gates is more expensive than processing XOR gates. For Boolean functions, multiplicative complexity is defined as the minimum number of AND gates that are sufficient to implement a function with a circuit over the basis (AND, XOR, NOT). In this paper, we study the multiplicative complexity of cubic Boolean functions. We propose a method to implement a cubic Boolean function with a small number of AND gates and provide upper bounds on the multiplicative complexity that are better than the known generic bounds.
ePrint: https://eprint.iacr.org/2021/1041
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