منابع مشابه
A Stream Cipher Based on Chaotic Permutations
In this paper we introduce a word-based stream cipher consisting of a chaotic part operating as a chaotic permutation and a linear part, both of which designed on a finite field. We will show that this system can operate in both synchronized and self-synchronized modes. More specifically, we show that in the self-synchronized mode the stream cipher has a receiver operating as an unknown input o...
متن کاملIntersecting families of permutations and partial permutations
The above result motivated the study of intersecting families of permutations which was initiated by Deza and Frankl, see [2]. Let Sn be the symmetric group on [n], that is the group of all permutations of [n]. For a positive integer t, a subset A of Sn is said to be t-intersecting if, for any g, h ∈ A with g 6= h, we have |{x : g(x) = h(x)}| ≥ t. By an intersecting family, we mean an 1-interse...
متن کاملSimple permutations and pattern restricted permutations
A simple permutation is one that does not map any non-trivial interval onto an interval. It is shown that, if the number of simple permutations in a pattern restricted class of permutations is finite, the class has an algebraic generating function and is defined by a finite set of restrictions. Some partial results on classes with an infinite number of simple permutations are given. Examples of...
متن کاملPalindromic Permutations and Generalized Smarandache Palindromic Permutations
The idea of left(right) palindromic permutations(LPPs,RPPs) and left(right) generalized Smarandache palindromic permutations(LGSPPs,RGSPPs) are introduced in symmetric groups Sn of degree n. It is shown that in Sn, there exist a LPP and a RPP and they are unique(this fact is demonstrated using S2 and S3). The dihedral group Dn is shown to be generated by a RGSPP and a LGSPP(this is observed to ...
متن کاملCovering n-Permutations with (n+1)-Permutations
Let Sn be the set of all permutations on [n] := {1, 2, . . . , n}. We denote by κn the smallest cardinality of a subset A of Sn+1 that “covers” Sn, in the sense that each π ∈ Sn may be found as an order-isomorphic subsequence of some π′ in A. What are general upper bounds on κn? If we randomly select νn elements of Sn+1, when does the probability that they cover Sn transition from 0 to 1? Can w...
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ژورنال
عنوان ژورنال: Discrete Mathematics
سال: 1989
ISSN: 0012-365X
DOI: 10.1016/0012-365x(89)90098-8