Results 51 to 60 of about 2,067,807 (144)
A note on fast algebraic attacks and higher order nonlinearities
, 2011 In this note, we deduce a bound between fast algebraic immunity and higher order nonlinearity (it is the first time that a bound between these two cryptographic criteria is given), and find that a Boolean function should have high r-order nonlinearity to
Johansson, Thomas, +2 more
core +2 more sources
On the Algebraic Immunity of Boolean Function [PDF]
, 2014 In view of the construction requirements of Boolean functions with many good cryptography properties, through the analysis of the relationship between the function values on the vectors with weight not more than d and the algebraic immunity, a method to
Hao, Cao, Huige, Wang
core +1 more source
Secondary constructions of Boolean functions with maximum algebraic immunity
, 2013 The algebraic immunity of cryptographic Boolean functions with odd number of variables is studied in this paper. Proper modifications of functions with maximum algebraic immunity are proved that yield new functions whose algebraic immunity is also ...
Kolokotronis, N. +2 more
core +1 more source
Extended algebraic immunity of symmetric Boolean function [PDF]
, 2014 Boolean functions with optimal algebraic immunity play an important role in stream ciphers.Based on the univariate polynomial representation of Boolean functions,a construction of Boolean functions with maximum extended algebraic immunity (EAI) is ...
Xue-feng LIU +3 more
core +1 more source
Quadratic forms and linear algebraic groups [PDF]
, 2009 Topics discussed at the workshop Quadratic Forms and Linear Algebraic Groups included besides the algebraic theory of quadratic and Hermitian forms and their Witt groups several aspects of the theory of linear algebraic groups and homogeneous varieties ...
Harbater, David +3 more
core +1 more source
, 2016 We put forward an efficient method to study the algebraic immunity of H Boolean functions with Hamming weight of 2n-1 + 2n-2, getting the existence of the higher-order algebraic immunity functions with correlation immunity.
Wang Zhuo, Huang Jinglian
core +1 more source
, 1984 For the first time, this book unites different algebraic approaches for discrete optimization and operations research. The presentation of some fundamental directions of this new fast developing area shows the wide range of its applicability ...
Cuninghame-Green, Raymond A. +3 more
core
Modifying Boolean Functions to Ensure Maximum Algebraic Immunity [PDF]
, 2012 The algebraic immunity of cryptographic Boolean functions is studied in this paper. Proper modifications of functions achieving maximum algebraic immunity are proved, in order to yield new functions of also maximum algebraic immunity. It is shown that
Konstantinos Limniotis +2 more
core +1 more source
on the resistance of boolean functions against fast algebraic attacks
, 2012 Boolean functions with large algebraic immunity resist algebraic attacks to a certain degree, but they may not resist fast algebraic attacks (FAA's). It is necessary to study the resistance of Boolean functions against FAA's.
Zhang Fangguo, Du Yusong, Liu Meicheng
core +1 more source
New construction of Boolean functions with maximun algebraic immunity [PDF]
, 2008 Because of the algebraic attacks, a high algebraic immunity is now an important criteria for Boolean functions used in stream ciphers. In this paper, by using the relationship between some flats and support of a n variables Boolean function f, we ...
Han wenbao, Fan shuqin, Wang yongjuan
core +1 more source