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 have important applications in cryptography and coding ...
More constructions of differentially 4-uniform permutations on F22k . Des Codes Cryptography, http://dx.doi.org/10.1007/s10623-014-0006-x, in pressQu, L.J., Tan, Y., Li, C., Gong, G.: More constructions of differentially 4-uniform permutations on F22k . Des. Codes. Cryptogr. (...
x,y,zare nonnegative integral multiples of1/n. x + y + z = 1. The sub-triangulation of a face has various symmetries corresponding to the permutations of the three corners of the face or, equivalently, of the coordinate axes. Some of these symmetries are shown in the demo. The mappi...
By using the piecewise method, Lagrange interpolation formula and Lucas' theorem, we determine explicit expressions of the inverses of a class of reversed Dickson permutation polynomials and some classes of generalized cyclotomic mapping permutation polynomials over finite fields of characteristic three. ...
This polynomial reduces to the Poincaré polynomial of X, by setting u=v=1. These constructions can also be reproduced for compactly supported cohomology, yielding a similar decomposition into pieces denoted Hck,p,q(X,C). When the variety X is smooth and projective the Hodge structure on H...
Animals that create structures often display non-random patterns in the direction of their constructions. This tendency of oriented construction is widely presumed to be an adaptive trait of the constructor’s extended phenotype, but there is little empirical support for this hypothesis. Particularly, ...
Traditionally considered the earliest-diverging group of snakes, scolecophidians are central to major evolutionary paradigms regarding squamate feeding mechanisms and the ecological origins of snakes. However, quantitative analyses of these phenomena rem
The proposed model optimizes the clustering of construction project information data and adaptively configures the whole life cycle process of the construction projects. In addition, the performance of the proposed system has been compared and tested with the other systems as well which shows how ...
123 On the cone of effective 2-cycles on M0,7 693 7 Generalization to M0,n for any n > 7 and further questions We can generalize our constructions for 2-cycles on M0,7 to any M0,n with n > 7. First, define V2KV(M0,n) inductively to be the subcone of Eff2(M0,n) generated...
Note that as we will show in Section 4, the nine-variate polynomialAn(t1,…,w)encompasses a host of familiar polynomials in the literature. LetSnbe the set of permutations of[n]:={1,…,n}. We have for instance (again, all the statistics will be defined in Section 4), ...