Regular Section
Construction of odd-Variable Rotation Symmetric Boolean Functions with Maximum Algebraic Immunity
2016 Volume E99.A Issue 4 Pages 853-855
Details
2016 Volume E99.A Issue 4 Pages 853-855
Rotation symmetric Boolean functions (RSBFs) that are invariant under circular translation of indices have been used as components of different cryptosystems. In this paper, odd-variable balanced RSBFs with maximum algebraic immunity (AI) are investigated. We provide a construction of n-variable (n=2k+1 odd and n ≥ 13) RSBFs with maximum AI and nonlinearity ≥ 2n-1-¥binom{n-1}{k}+2k+2k-2-k, which have nonlinearities significantly higher than the previous nonlinearity of RSBFs with maximum AI.
