This paper proposes a chaos-based image encryption scheme with a permutation–diffusion structure. In the proposed scheme, the large permutation with the same size as the plainimage is used to shuffle the positions of image pixels totally. An effective method is also presented to construct the large permutation quickly and easily by combining several small permutations, where small permutations ...

In order to sequence the tasks of a job shop problem (JSP) on a number of machines related to the technological machine order of jobs, a new representation technique { mathematically known as \permutation with repetition" is presented. The main advantage of this single chromosome representation is { in analogy to the permutation scheme of the traveling salesman problem (TSP) { that it cannot pr...

In this paper, we cryptanalyze two knapsack cryptosystems. The first one is proposed by Hwang et al [4], which is based on a new permutation algorithm named Permutation Combination Algorithm. We show that this permutation algorithm is useless to the security of the cryptosystem. Because of the special super increasing structure, we can break this cryptosystem use the method provided by Shamir a...

We give a presentation of length O ( log2 |G| ) for the groups G∼= PSU3(q). This result has applications in recent algorithms to compute the structure of permutation groups and matrix groups.

We study the odd-characteristic structure of permutation modules for the rank 3 natural actions of O± 2n(2) (n ≥ 3) and Um(2) (m ≥ 4) on nonsingular points of their standard modules.

Gene set enrichment analysis (GSEA) is typically based on tests derived from the KolmogorovSmirnov, which is underpowered and a need for simpler methods has been identified.[2] The wgsea package contains functions for conducting GSEA using a Wilcoxon test to test for differences in the distribution of p values between SNPs within the gene set under test and a control set of SNPs. The mean of th...

A major challenge in statistical machine translation is mitigating the word order differences between source and target strings. While reordering and lexical translation choices are often conducted in tandem, source string permutation prior to translation is attractive for studying reordering using hierarchical and syntactic structure. This work contributes an approach for learning source strin...