[Resource Topic] 2017/097: Boolean functions with restricted input and their robustness; application to the FLIP cipher

Welcome to the resource topic for 2017/097

Title:
Boolean functions with restricted input and their robustness; application to the FLIP cipher

Authors: Claude Carlet, Pierrick Méaux, Yann Rotella

Abstract:

We study the main cryptographic features of Boolean functions (balancedness, nonlinearity, algebraic immunity) when, for a given number n of variables, the input to these functions is restricted to some subset E of \mathbb{F}_2^n. We study in particular the case when E equals the set of vectors of fixed Hamming weight, which plays a role in the FLIP stream cipher and we study the robustness of the Boolean function in this cipher.

ePrint: https://eprint.iacr.org/2017/097

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