Light Weight Cryptographic Address Generation Using System State Entropy Gathering for IPv6 Based MANETs

In IPv6 based MANETs, the neighbor discovery enables nodes to self-configure and communicate with neighbor nodes through autoconfiguration. The Stateless address autoconfiguration (SLAAC) has proven to face several security issues. Even though the Secure Neighbor Discovery (SeND) uses Cryptographically Generated Addresses (CGA) to address these issues, it creates other concerns such as need for CA to authenticate hosts, exposure to CPU exhaustion attacks and high computational intensity. These issues are major concern for MANETs as it possesses limited bandwidth and processing power. The paper proposes empirically strong Light Weight Cryptographic Address Generation (LW-CGA) using entropy gathered from system states. Even the system users cannot monitor these system states; hence LW-CGA provides high security with minimal computational complexity and proves to be more suitable for MANETs. The LW-CGA and SeND are implemented and tested to study the performances. The evaluation shows that LW-CGA with good runtime throughput takes minimal address generation latency.Comment: 13 Page

Implementation and Evaluation of Security Protocols in E-Commerce Applications

There are a large amount of programs in the development process in todays technology environment, and many of these involve some type of security needs. These needs are usually not dealt with in a sensible way and some even don’t bother with any analysis. This thesis describes a solution of implementing a secure protocol, and gives an evaluation of the process along with the techniques and tools to aid a secure design and implementation process. This allows others to take this knowledge into account when building other applications which have a need for security development

On the discrete Dirac spectrum of a point electron in the zero-gravity Kerr-Newman spacetime

The discrete spectrum of the Dirac operator for a point electron in the maximal analytically extended Kerr--Newman spacetime is determined in the zero-$G$ limit (z$G$KN), under some restrictions on the electrical coupling constant and on the radius of the ring-singularity of the z$G$KN spacetime. The spectrum is characterized by a triplet of integers, associated with winding numbers of orbits of dynamical systems on cylinders. A dictionary is established that relates the spectrum with the known hydrogenic Dirac spectrum. Numerical illustrations are presented. Open problems are listed.Comment: 62 pages, 13 figure

Semi-stable degenerations of Calabi-Yau manifolds and mirror P=W conjecture

Mirror symmetry for a semi-stable degeneration of a Calabi-Yau manifold was first investigated by Doran-Harder-Thompson when the degeneration fiber is a union of two (quasi)-Fano manifolds. They propose a topological construction of a mirror Calabi-Yau that is a gluing of two Landau-Ginzburg models mirror to those Fano manifolds. We extend this construction to a general type semi-stable degeneration. As each component in the degeneration fiber comes with the simple normal crossing anti-canonical divisor, one needs the notion of a hybrid Landau-Ginzburg model, a multi-potential analogue of classical Landau-Ginzburg models. We show that these hybrid LG models can be glued to provide a topological mirror candidate of the Calabi-Yau which is also equipped with the fibration over $\mathbb{P}^N$. Furthermore, it is predicted that the perverse Leray filtration associated to this fibration is mirror to the monodromy weight filtration on the degeneration side. We explain how this can be deduced from the original mirror P=W conjecture.Comment: 55 pages, 1 figur

Розвиток англомовного професійно орієнтованого писемного мовлення

Навчально-методичний посібник для розвитку писемного мовлення у студентів завершального етапу бакалаврату побудований відповідно до програми, яка передбачає навчання студентів вмінню працювати з англійською літературою за фахом. Матеріал сприяє збагаченню словникового запасу і оволодінню практичними навичками створення технічної документації англійською мовою, а саме, написання специфікацій вимог до програмного забезпечення. Він створений для викладачів англійської мови, які працюють зі студентами ІТ-спеціальностей КПІ ім. Ігоря Сікорського: 121 «Інженерія програмного забезпечення», 122 «Комп’ютерні науки», 123 «Комп’ютерна інженерія», 124 «Системний аналіз», 126 «Інформаційні системи та технології», 151 «Автоматизація та комп’ютерно-інтегровані технології», 153 «Мікро- та наносистемна техніка», 113 «Прикладна математика»