Research ArticleOpen accessIn the keywordsON SELF-INVERSE BINARY MATRICES OVER THE BINARY GALOIS FIELDAli Muhammad Ali Rushdi, Fares Ahmad Muhammad GhalebAn important class of square binary matrices over the simplest finite or Galois Field GF(2) is the class of involutory or Self-Inverse (SI) matrices. These matrices are of significant utility in prominent engineering applications such as the study of the Preparata Transformation or the analysis of synchronous Boolean Networks. Therefore, it is essential to devise appropriate methods, not only for … …Journal of Mathematics and Statistics, Vol. 9, Issue 3 · 4 Sep 2013 · 7,248 accessesView PDFCite
Research ArticleOpen accessIn the abstractMultilevel Evaluation of Coulomb Lattice Sums of Charge SystemsV. Ilyin, A. Brandt, I. SuwanProblem statement: Due to the long range nature of interactions of the N-body systems, direct computation of the Coulomb potential energy involves O(N2) operations. To decrease such complexity, a simple Multilevel Summation method has been developed. Approach: In the frame of the Multilevel Summation method, the two-body interaction is decomposed into two parts: a local part and a smooth part. … …Journal of Mathematics and Statistics, Vol. 8, Issue 3 · 11 Sep 2012 · 7,377 accessesView PDFCite
Research ArticleOpen accessIn the abstractSecure Authentication Technique for Data Aggregation in Wireless Sensor NetworksV. Bhoopathy, R. M.S. ParvathiProblem statement: In Wireless Sensor Networks (WSN), serious security threat is caused by node capture attacks where an adversary gains full control over a sensor node through direct physical access. Approach: This creates a high risk of data confidentiality. Results: We propose a secure authentication technique for data aggregation in WSN. During first round of data aggregation, the aggregator upon … …Journal of Computer Science, Vol. 8, Issue 2 · 24 Jan 2012 · 7,286 accessesView PDFCite