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Boolean functions with maximum algebraic immunity: further extensions of the Carlet–Feng construction

open access: yes, 2018
The algebraic immunity of Boolean functions is studied in this paper. More precisely, having the prominent Carlet–Feng construction as a starting point, we propose a new method to construct a large number of functions with maximum algebraic immunity. The
Kolokotronis, N., Limniotis, K.
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Use of Simple Arithmetic Operations to Construct Efficiently Implementable Boolean functions Possessing High Nonlinearity and Good Resistance to Algebraic Attacks [PDF]

open access: yes
We describe a new class of Boolean functions which provide the presently best known trade-off between low computational complexity, nonlinearity and (fast) algebraic immunity.
Palash Sarkar, Claude Carlet
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