In support of accurate neuropeptide identification in mass spectrometry experiments, novel Monte Carlo permutation testing was used to compute significance values. Testing was based on k-permuted decoy databases, where k denotes the number of permutations. These databases were integrated with a range of peptide identification indicators from three popular open-source database search software (O...

By finding explicit PD sets, we show that permutation decoding can be used for the binary code obtained from the row span over the field F2 of an adjacency matrix of the lattice graph L2(n) for any n 5. © 2007 Elsevier B.V. All rights reserved.

This paper presents evolution algorithm for solving small (up to 32 nodes) traveling salesman problems with constraints. This new differential evolution algorithm with only two parameters the size of the population and the size of the generations use the Lehmer code of the permutation for the representation of populations. Experience with small instances of TSP with time windows and deadline TS...

A Z2Z4-linear Hadamard code of length α + 2β = 2 t is a binary Hadamard code which is the Gray map image of a Z2Z4-additive code with α binary coordinates and β quaternary coordinates. It is known that there are exactly b t−1 2 c and b t 2c nonequivalent Z2Z4-linear Hadamard codes of length 2t, with α = 0 and α 6= 0, respectively, for all t ≥ 3. In this paper, it is shown that each Z2Z4-linear ...

A Z2Z4-linear Hadamard code of length α+2β = 2 is a binary Hadamard code which is the Gray map image of a Z2Z4-additive code with α binary coordinates and β quaternary coordinates. It is known that there are exactly b t−1 2 c and b t 2 c nonequivalent Z2Z4-linear Hadamard codes of length 2, with α = 0 and α 6= 0, respectively, for all t ≥ 3. In this paper, it is shown that each Z2Z4-linear Hada...

Abstract After applying canonical correspondence analysis to metagenomics data with hugely different library sizes (site totals) it became evident that Canoco and the R-packages ade4 vegan can yield (at least up 2022) very P -values in statistical tests of relationship between taxonomic composition (species composition) predictors (environmental variables and/or treatments). The reason is versi...

Permutation tests are the standard technique for significance testing in Analysis of Variance Simultaneous Component Analysis. However, there is a vast number alternative approaches permutation testing, and choices grows relation to complexity study design. In this paper, we focus on longitudinal intervention studies with multivariate outcomes, relevant experimental design clinical where outcom...

We study -length Abelian codes over Galois rings with characteristic , where and are relatively prime, having the additional structure of being closed under the following two permutations: i) permutation effected by multiplying the coordinates with a unit in the appropriate mixed-radix representation of the coordinate positions and ii) shifting the coordinates by positions. A code is -quasi-cyc...