Welcome to the resource topic for 2007/290
Title:
Construction of Rotation Symmetric Boolean Functions with Maximum Algebraic Immunity on Odd Number of Variables
Authors: Sumanta Sarkar, Subhamoy Maitra
Abstract:In this paper we present a theoretical construction of Rotation Symmetric Boolean Functions (RSBFs) on odd number of variables with maximum possible \ai and further these functions are not symmetric. Our RSBFs are of better nonlinearity than the existing theoretical constructions with maximum possible \ai. To get very good nonlinearity, which is important for practical cryptographic design, we generalize our construction to a construction cum search technique in the RSBF class. We find 7, 9, 11 variable RSBFs with maximum possible \ai having nonlinearities 56, 240, 984 respectively with very small amount of search after our basic construction.
ePrint: https://eprint.iacr.org/2007/290
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