The detection of weak and rare effects in large amounts data arises a number modern analysis problems. Known results show that this situation the potential statistical inference is severely limited by large-scale multiple testing inherent these Here, we fundamentally more powerful possible when there some structure signal can be exploited, for example, if clustered many small blocks, as case re...

Several properties of atoms of block monoids are developed. We count the number of atoms of small cardinality. We also develop various properties of atoms of maximal cardinality (the Davenport constant). We use these properties to find new bounds on the Davenport constant both in general and for several important classes of groups. We also determine the Davenport constant (with computer assista...

in this paper, we show how to obtain suitable differential charactristics for block ciphers with neural networks. we represent the operations of a block cipher, regarding their differential characteristics, through a directed weighted graph. in this way, the problem of finding the best differential characteristic for a block cipher reduces to the problem of finding the minimum-weight multi-path...