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Balanced rotation symmetric boolean functions with maximum algebraic immunity

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4 Author(s)
Fu, S. ; Sch. of Comput. Sci., Nat. Univ. of Defense Technol., Changsha, China ; Qu, L. ; Li, C. ; Sun, B.

Rotation symmetric Boolean functions (RSBFs) that are invariant under circular translation of indices have been used as components of different cryptosystems. In this paper, even-variable-balanced RSBFs with maximum algebraic immunity (AI) are investigated. At first, we give an original construction of 2m-variable-balanced RSBFs with maximum AI. Then we improve the construction to obtain more 2m-variable-balanced RSBFs with maximum AI, and these new RSBFs have higher non-linearity than all previously obtained RSBFs. Further, we generalise our construction of 2m-variable RSBFs to a new construction that can generate any even-variable RSBFs.

Published in:

Information Security, IET  (Volume:5 ,  Issue: 2 )