Results 81 to 90 of about 568,049 (193)

A Note on “On the Construction of Boolean Functions with Optimal Algebraic Immunity”

IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, 2011
In this note, we go further on the "basis exchange" idea presented in \cite{LiNa1} by using Mobious inversion. We show that the matrix $S_1(f)S_0(f)^{-1}$ has a nice form when $f$ is chosen to be the majority function, where $S_1(f)$ is the matrix with row vectors $\upsilon_k(α)$ for all $α\in 1_f$ and $S_0(f)=S_1(f\oplus1)$.
Yuan Li 0001, Haibin Kan, Kokichi Futatsugi   +2 more
openaire   +3 more sources

A New Bound between Higher Order Nonlinearity and Algebraic Immunity [PDF]

, 2012
It is known that Boolean functions used in stream ciphers should have high nonlinearity to resist algebraic attacks, and there are some relationships between the algebraic immunity and the nonlinearity of a Boolean function.
Duan, Xueying
core   +1 more source

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, 张焕国, 池志强, 黄治华, 张剑   +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., Kalouptsidis, N., Limniotis, K.   +2 more
core   +1 more source

Modification of the Peterson algebraic decoder

Informatyka, Automatyka, Pomiary w Gospodarce i Ochronie Środowiska
The 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, Iryna Kononova, Liudmyla Pogrebniak, Kostiantyn Lytvyn, Igor Gyrenko   +4 more
doaj   +1 more source

Algebraic and combinatorial methods in operations research : proceedings of the Workshop on Algebraic Structures in Operations Research /

, 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., Workshop on Algebraic Structures in Operations Research., Zimmermann, U.(Uwe),, Burkard, Rainer E.   +3 more
core  

Algebraic immunity of non-linear blocks of symmetric ciphers

, 2018
Methods for calculating the algebraic immunity of the cryptographic Boolean functions and non-linear components (substitutions) of symmetric ciphers have been studied.
Bilozertsev I. M., Gorbenko Y. I., Kuznetsov O, Andrushkevych A. V., Narizhnyi O. P.   +4 more
core   +1 more source

Characterizations on Algebraic Immunity for Multi-Output Boolean Functions [PDF]

, 2012
The general principle for algebraic attack for multi-output stream ciphers was proposed by Courtois [6]. Furthermore, Armknecht, and Krause gave a definition of algebraic immunity for multi-output Boolean functions in [2], and investigated some ...
Mingsheng Wang, Xiao Zhong
core   +1 more source

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
openaire   +2 more sources

Evaluation of Algebraic Immunity of modern block ciphers

, 2018
The methods for computing of Algebraic Immunity of cryptographic Boolean functions and non-linear substitutions (substitutions) blocks of symmetric ciphers are explored.
Dmytro Prokopovych-Tkachenko, Alexandr Kuznetsov, Kuznetsov, Roman Serhiienko, Prokopovych-Tkachenko D., Serhiienko R., Yuri Tarasenko, Tarasenko Y.   +7 more
core   +1 more source