Algebraic immunity for cryptographically significant Boolean functions: analysis and construction

C Carlet, DK Dalai, KC Gupta… - IEEE Transactions on …, 2006 - ieeexplore.ieee.org
Recently, algebraic attacks have received a lot of attention in the cryptographic literature. It
has been observed that a Boolean function f used as a cryptographic primitive, and …

Results on algebraic immunity for cryptographically significant Boolean functions

DK Dalai, KC Gupta, S Maitra - … on Cryptology in India, Chennai, India …, 2005 - Springer
Recently algebraic attack has received a lot of attention in cryptographic literature. It has
been observed that a Boolean function f, interpreted as a multivariate polynomial over GF …

Results on rotation symmetric bent and correlation immune Boolean functions

P Stănică, S Maitra, JA Clark - International Workshop on Fast Software …, 2004 - Springer
Recent research shows that the class of Rotation Symmetric Boolean Functions (RSBFs), ie,
the class of Boolean functions that are invariant under circular translation of indices, is …

Almost Boolean functions: The design of Boolean functions by spectral inversion

JA Clark, JL Jacob, S Maitra… - Computational …, 2004 - Wiley Online Library
The design of Boolean functions with properties of cryptographic significance is a hard task.
In this paper, we adopt an unorthodox approach to the design of such functions. Our search …

[HTML][HTML] Results on rotation symmetric bent functions

DK Dalai, S Maitra, S Sarkar - Discrete Mathematics, 2009 - Elsevier
In this paper we analyze the combinatorial properties related to the Walsh spectra of rotation
symmetric Boolean functions on even number of variables. These results are then applied in …

Enumeration of 9-variable rotation symmetric Boolean functions having nonlinearity> 240

S Kavut, S Maitra, S Sarkar, MD Yücel - Progress in Cryptology …, 2006 - Springer
The existence of 9-variable Boolean functions having nonlinearity strictly greater than 240
has been shown very recently (May 2006) by Kavut, Maitra and Yücel; a few functions with …

Generalized Rotation Symmetric and Dihedral Symmetric Boolean Functions− 9 Variable Boolean Functions with Nonlinearity 242

S Kavut, MD Yücel - Applied Algebra, Algebraic Algorithms and Error …, 2007 - Springer
Recently, 9-variable Boolean functions having nonlinearity 241, which is strictly greater than
the bent concatenation bound of 240, have been discovered in the class of Rotation …

[PDF][PDF] Plateaued rotation symmetric Boolean functions on odd number of variables

A Maximov, M Hell, S Maitra - First Workshop on Boolean …, 2005 - portal.research.lu.se
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Construction and enumeration of balanced rotation symmetric Boolean functions

AU Zeenath, KV Lakshmy, TW Cusick… - Discrete Applied …, 2024 - Elsevier
Construction and enumeration of the class of balanced rotation symmetric Boolean functions
are important research areas in cryptography. The counting results of this class of functions …

Construction of rotation symmetric S-boxes with high nonlinearity and improved DPA resistivity

B Mazumdar, D Mukhopadhyay - IEEE Transactions on …, 2016 - ieeexplore.ieee.org
In this paper, we provide an bijective rotation symmetric S-box (RSSB) construction with
improved resistance to differential power analysis (DPA) using rotation-symmetric Boolean …