Informatics Publishing Limited

Alokesh Mondal ¹, Biswajit Maiti ², Achintya Das ³

Affiliations
1 Department of Electronics and Communication Engineering, Durgapur Institute of Advanced Technology and Management, Rajbandh, Durgapur, Burdwan - 713212, IN
2 Department of Physics, Kalyani Government Engineering College, Kalyani, Nadia - 741235, IN
3 Department of Electronics and Communication Engineering, Kalyani Government Engineering College, Kalyani, Nadia - 741235, IN

Abstract

Lead Zirconate Titanate (PZT), a very important perovskite material, has been fabricated by ceramic processing method. Dependence of dielectric properties on temperature and frequency of electric field has been investigated. A two layered RC circuit model resembling grain and grain-boundary is employed to analyze the variation of dielectric constant with frequency of electric field. Fluctuations in the measure of dielectric constant are indicative of the presence of defects and impurities in the grain boundary region. Temperature effect has been described by the structural change caused by phase transition which is quite susceptible to the ratio of Zr to Ti in material composition. Specifically near morphotropic phase boundary (MPB) with the presence of mixed tetragonal and rhombohedral phases, a large variation of dielectric constant can effectively be explained by Maxwell-Wagner relaxation of polarization charges at the grain-grain boundary interface.

Keywords

Perovskite Material, Ceramic Processing Method, Dielectric Constant, Morphotropic Phase Boundary, Grain and Grain-Boundary, Maxwell-Wagner Relaxation.

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Satyendra Nath Mandal ¹, Kumarjit Banerjee ², Biswajit Maiti ³, J. Palchaudhury ¹

Affiliations
1 Dept. of I.T, Kalyani Govt. Engg College, Kalyani, Nadia (W.B), IN
2 CSE, Kalyani Govt. Engg College, Kalyani, Nadia (W.B), IN
3 Dept. of Mathmatics, Kalyani Govt. Engg College, Kalyani, Nadia (W.B), IN

Abstract

The RSA cryptosystem, invented by Ron Rivest, Adi Shamir and Len Adleman was first published in the August 1978 issue of ACM. The cryptosystem is most commonly used for providing priva cy and ensuring authenticity of digital data. The security level of this algorithm depends on chooing two large prime numbers. But, to handle large prime in personal computer is huge time consuming. Further, each and every compiler has a maximum limit to integer handling capability. In this paper, an approach has been made to modify trial division technique for implementation of RSA algorithm for large numbers beyond the range of a compiler that has been used to implement it. The time complexity of this modified trial division method has been calculated using personal computer, at the end for large integer.

Keywords

RSA Cryptosystem, Prime Number, Trail Division, Time Complexity.

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