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Algebraic immunity for cryptographically significant Boolean functions: analysis and construction
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 …
has been observed that a Boolean function f used as a cryptographic primitive, and …
Results on algebraic immunity for cryptographically significant Boolean functions
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 …
been observed that a Boolean function f, interpreted as a multivariate polynomial over GF …
Results on rotation symmetric bent and correlation immune Boolean functions
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 …
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
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 …
In this paper, we adopt an unorthodox approach to the design of such functions. Our search …
[HTML][HTML] Results on rotation symmetric bent functions
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 …
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
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 …
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
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 …
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
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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 …
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
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 …
improved resistance to differential power analysis (DPA) using rotation-symmetric Boolean …