On the constructions of n-cycle permutations
Web1 On the constructions of n-cycle permutations Yuting Chen, Liqi Wang and Shixin Zhu Abstract Any permutation polynomial is an n-cycle permutation. When nis a specific … Web21 de jul. de 2024 · arXivLabs: experimental projects with community collaborators. arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website.
On the constructions of n-cycle permutations
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Web9 de out. de 2007 · The existence of such cycles was shown by Jackson [1996] but the proof only shows that a certain directed graph is Eulerian, and Knuth [2005] asks for an explicit construction. We show that a simple recursion describes our Hamilton cycle and that the cycle can be generated by an iterative algorithm that uses O ( n ) space. Web21 de jul. de 2024 · For the form of x^rh(x^s), several new explicit triple-cycle permutations are also provided. Finally, we also consider triple-cycle permutations of the form x^t + c …
Web29 de jul. de 2024 · Inspired by the AGW Criterion, we propose criteria for $ n $-cycle permutations, which mainly are of the form $ x^rh(x^s) $. We then propose unified … Web15 de jan. de 2024 · Any Eulerian tour in the cluster graph gives a Hamiltonian cycle in the graph of overlapping n-permutations.It is conjectured that these Hamiltonian cycles can be extended to universal cycles for n-permutations; see [5], [15].. For words, translating a Hamiltonian cycle in the De Bruijn graph to a De Bruijn sequence is straightforward …
Web1 de ago. de 2024 · Any permutation polynomial is an n-cycle permutation.When n is a specific small positive integer, one can obtain efficient permutations, such as involutions, triple-cycle permutations and quadruple-cycle permutations. These permutations … Web5 de jun. de 2024 · Prove that the order of \(r^k \in D_n\) is \(n / \gcd(k,n)\text{.}\) This page titled 5.4: Exercises is shared under a GNU Free Documentation License 1.3 license and was authored, remixed, and/or curated by Thomas W. Judson ( Abstract Algebra: Theory and Applications ) via source content that was edited to the style and standards of the …
Web22 de nov. de 2024 · The construction of n-cycle permutations from the AGW criterion could be seen in . In this paper, ... Ghioca D., Wang Q.: On construction permutations of finite fields. Finite Fields Appl. 17(1), 51–67 (2011). Article MathSciNet MATH Google Scholar Berlekamp E.R., Rumsey H., Solomon G.: On the solution of algebraic ...
Web21 de jul. de 2024 · For the form of x^rh(x^s), several new explicit triple-cycle permutations are also provided. Finally, we also consider triple-cycle permutations of the form x^t + c Tr_q^m/q(x^s) and provide one explicit construction. Many of our constructions are both new in the n-cycle property and the permutation property. READ FULL TEXT VIEW PDF nihb tribal public health conferenceWeb29 de jul. de 2024 · 07/29/20 - Any permutation polynomial is an n-cycle permutation. When n is a specific small positive integer, one can obtain efficient permut... nspe bylawsWeb21 de jul. de 2024 · arXivLabs: experimental projects with community collaborators. arXivLabs is a framework that allows collaborators to develop and share new arXiv … nih budget cut salary escalationWeb23 de ago. de 2016 · In this paper, we generalize the switching method and present a method to construct new differentially 4-uniform permutations from two known ones by determining the corresponding cycle sets. As for applications, by determining all the cycle sets of ( x + 1 ) − 1 + 1 and ( x + 1 ) − 1 + ω related to the inverse functions, respectively, … n special character shortcutWebDe nition 1.2. A cyclic word n is a universal cycle, or u-cycle, for n-permutations if n covers every n-permutation exactly once. 1.4 Organization of the paper This paper is organized as follows. In Section2.1we show our simple way to generate the words 0 n and n, and in Sections2.2and2.3we justify that the constructions of 0 n and n work. Also ... nih budgetary overlapWeb29 de jul. de 2024 · Inspired by the AGW Criterion, we propose criteria for $ n $-cycle permutations, which mainly are of the form $ x^rh(x^s) $. We then propose unified constructing methods including recursive ways and a cyclotomic way for $ n $-cycle permutations of such form. ns peaceWebAbstract: In this paper, we aim to construct a class of complete permutations over from some polynomials over . First of all, we determine a necessary and sufficient condition such that is complete. Briefly, we transform the completeness of into showing the permutation properties of two polynomials over obtained from these ’s. Then, following ... nihb tribal public health summit 2022