[Resource Topic] 2020/273: On the Fast Algebraic Immunity of Threshold Functions

Welcome to the resource topic for 2020/273

Title:
On the Fast Algebraic Immunity of Threshold Functions

Authors: Pierrick Méaux

Abstract:

Motivated by the impact of fast algebraic attacks on stream ciphers, and recent constructions using a threshold function as part of the filtering function, we study the fast algebraic immunity of threshold functions. As a first result, we determine exactly the fast algebraic immunity of all majority functions in more than 8 variables. Then, For all n\geq 8 and all threshold value between 1 and n we exhibit the fast algebraic immunity for most of the thresholds, and we determine a small range for the value related to the few remaining cases. Finally, provided m\geq 2, we determine exactly the fast algebraic immunity of all threshold functions in 3\cdot 2^m or 3\cdot 2^m +1 variables.

ePrint: https://eprint.iacr.org/2020/273

See all topics related to this paper.

Feel free to post resources that are related to this paper below.

Example resources include: implementations, explanation materials, talks, slides, links to previous discussions on other websites.

For more information, see the rules for Resource Topics .