RSA cryptosystem for rings with commuting ideals

This article presents a generalization of the RSA cryptosystem for rings with commuting ideals. An analogue of the Euler function for ideals and the concept of an RSA-ideal are defined. An analog of a cryptosystem for the ring with commuting ideals is formulated and a description of the RSA-ideals for which this is possible is obtained.Comment: 7 page

Stable Distributions and Rare Events Statistics in Analysis of the Carbon Fibers Strength and Determination of the Critical Stages of Conversion

AbstractStatistics and correlation analysis method based on stable distributions is presented. Method can be applied to the estimation of the influence of one data set to another with respect to the rare events. In carbon fibers data analysis method allows one to estimate influence of the different defect types on the carbon fiber strength and the influence of the mechanical properties of the carbon fiber on the early stages of conversion on the mechanical properties on the latter stages