Upper-bound estimation of the average probabilities of integer-valued differentials in the composition of key adder, substitution block, and shift operator

The upper bounds for average probabilities of integer-valued round differentials are obtained for the composition of key adder, substitution block, and shift operator. Statistical distributions are obtained for parameters on which the probabilities depend.

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Bibliographic Details
Published inCybernetics and systems analysis Vol. 46; no. 6; pp. 936 - 944
Main Author Kovalchuk, L. V.
Format Journal Article
LanguageEnglish
Published Boston Springer US 01.11.2010
Springer
Springer Nature B.V
Subjects
Artificial Intelligence
Blocking
Control
Cybernetics
Differentials
Mathematics
Mathematics and Statistics
Normal distribution
Operators
Probability
Processor Architectures
Software Engineering/Programming and Operating Systems
Statistical data
Statistical distributions
Studies
Systems analysis
Systems Theory
Upper bounds
non-Markov block ciphers
integer-valued differential cryptanalysis
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Summary:The upper bounds for average probabilities of integer-valued round differentials are obtained for the composition of key adder, substitution block, and shift operator. Statistical distributions are obtained for parameters on which the probabilities depend.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:1060-0396
1573-8337
DOI:10.1007/s10559-010-9274-2