Results 81 to 90 of about 1,481 (204)
A Novel Application of Boolean Functions with High Algebraic Immunity in Minimal Codes
, 2021 Boolean functions with high algebraic immunity are important cryptographic primitives in some stream ciphers. In this paper, two methodologies for constructing minimal binary codes from sets, Boolean functions and vectorial Boolean functions with high ...
Chen, Hang +3 more
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Some New Conclusions on Orthomorphisms
工程科学与技术, 2013 :Orthomorphism plays an important role in the design of symmetric cryptography. To analyze its construction, counting and properties further, a problem in a conclusion about linear orthomorphism was pointed out and corrected.
童言 +4 more
doaj
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
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Balanced Boolean Functions with Optimum Algebraic Immunity and High Nonlinearity [PDF]
, 2010 In this paper, three constructions of balanced Boolean functions with optimum algebraic immunity are proposed. The cryptographical properties such as algebraic degree and nonlinearity of the constructed functions are also ...
Lei Hu +3 more
core
Modification of the Peterson algebraic decoder
Informatyka, Automatyka, Pomiary w Gospodarce i Ochronie ŚrodowiskaThe aim of the study is to increase the reliability of data transmission based on the modification of the Peterson algorithm. The modification of the Peterson algorithm is based on the control of the correctness of the error locator polynomial.
Dmytro Mogylevych +4 more
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Tight bounds between algebraic immunity and nonlinearities of high orders [PDF]
, 2007 Among cryptographically significant characteristics of Boolean functions used in symmetric ciphers the algebraic immunity and the nonlinearities of high orders play the important role. Some bounds on the nonlinearities of high orders of Boolean functions
Lobanov Mikhail
core
A remark on algebraic immunity of Boolean functions
CoRR, 2013 In this correspondence, an equivalent definition of algebraic immunity of Boolean functions is posed, which can clear up the confusion caused by the proof of optimal algebraic immunity of the Carlet-Feng function and some other functions constructed by virtue of Carlet and Feng's idea.
Baofeng Wu, Jia Zheng
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Computing the restricted algebraic immunity, and application to WPB functions. [PDF]
peer reviewedAlgebraic immunity is a fundamental property in the security analysis of stream ciphers and Boolean functions, measuring the resistance of a function against algebraic attacks.
MEAUX, Pierrick, Bonamino, Luca
core
Fast Algebraic Immunity of $2^m+2$ & $2^m+3$ variables Majority Function [PDF]
, 2019 Boolean functions used in some cryptosystems of stream ciphers should satisfy various criteria simultaneously to resist some known attacks. The fast algebraic attack (FAA) is feasible if one can find a nonzero function $g$ of low algebraic degree and a ...
Liu Zhang, Yindong Chen, Fei Guo
core
On the Higher Order Nonlinearities of Algebraic Immune Functions [PDF]
, 2006 One of the most basic requirements concerning Boolean functions used in cryptosystems is that they must have high algebraic degrees. This simple criterion is not always well adapted to the concrete situation in which Boolean functions are used in symmetric cryptography, since changing one or several output bits of a Boolean function considerably ...
openaire +1 more source