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Automatic Search of Bit-Based Division Property for ARX Ciphers and Word-Based Division Property [PDF]
Lecture Notes in Computer Science, 2017 Division property is a generalized integral property proposed by Todo at Eurocrypt 2015. Previous tools for automatic searching are mainly based on the Mixed Integer Linear Programming (MILP) method and trace the division property propagation at the bit ...
Ling Sun, Meiqin Wang, Wang Meiqin
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SSRN Electronic Journal, 2021
The problem that arises is whether the literal meaning of the law that provides that trust assets and interests are to be held as property separate from matrimonial property should be upheld or should the court, as the custodian of the law, in a bid to meet the ends of justice, interpret the law in a manner that defines what a legal and true trust is ...
Kelvin Kamande, Halima Ibrahim Mohamed
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The problem that arises is whether the literal meaning of the law that provides that trust assets and interests are to be held as property separate from matrimonial property should be upheld or should the court, as the custodian of the law, in a bid to meet the ends of justice, interpret the law in a manner that defines what a legal and true trust is ...
Kelvin Kamande, Halima Ibrahim Mohamed
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Divisibility Properties of Graded Domains
Canadian Journal of Mathematics, 1982Let R = ⊕α∊гRα be an integral domain graded by an arbitrary torsionless grading monoid Γ. In this paper we consider to what extent conditions on the homogeneous elements or ideals of R carry over to all elements or ideals of R. For example, in Section 3 we show that if each pair of nonzero homogeneous elements of R has a GCD, then R is a GCD-domain ...
Anderson, D. D., Anderson, David F.
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On the Divisibility Properties of Sequences of Integers
Proceedings of the London Mathematical Society, 1970Es sei \(a_1 < \ldots\) eine Folge positiver ganzer Zahlen \(A(x) = \sum_{a_1 \leq x}1\). Die Folge \(A_1 < \ldots\) hat die Eigenschaft \(p\) wenn kein \(a\) die Summe zweier größerer \(a\)'s teilt. Die Autoren zeigen, daß jede Folge mit der Eigenschaft \(p\) die Dichte \(0\) hat.
Erdős, Paul, Sárkőzy, András
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On the Division Property of Simon48 and Simon64
2016Simon is a family of lightweight block ciphers published by the U.S. National Security Agency (NSA) in 2013. Due to its novel and bit-based design, integral cryptanalysis on Simon seems a tough job. At EUROCRYPT 2015 Todo proposed division property which is a generalized integral property, and he applied this technique to searching integral ...
Zejun Xiang 0001 +2 more
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A division property of the Fibonacci word
Information Processing Letters, 1995zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On divisibility properties of integers of the forma+á
Acta Mathematica Hungarica, 1987Let \(A\subseteq \{1,2,...,N\}\) be such that \(a+a'\) for \(a\in A\), \(a'\in A\) be all square-free. Then the authors prove the following interesting results. Theorem 1. For \(N>N_0\) there exists an \(A\) such that \(|A| > (1/248)\log N.\) Theorem 2.
Erdős, Paul, Sárközy, A.
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Groups with Divisibility Property-I
2018Every finite non-cyclic abelian p-group of order greater than \(p^2\) has the property that its order divides that of its group of automorphisms (Theorem 3.34). The problem whether every non-abelian p-group of order greater than \(p^2\) possesses the same property has been a subject of intensive investigation.
Inder Bir Singh Passi +2 more
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