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  1. University of Computer Studies, Yangon
  2. Faculty of Computing

Experiments on Implementation of Elliptic Curve Arithmetic over Complex Fields Using java BigInteger Class

http://hdl.handle.net/20.500.12678/0000004567
http://hdl.handle.net/20.500.12678/0000004567
bb861515-b796-47e3-840f-538c037af2e3
64e5f8cc-fbf4-45eb-b28c-4b8104d26a9b
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10. 10. JCM170195-Scopus-DBLP paper-2019.pdf (1608 Kb)
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Article
Upload type
Publication
Title
Title Experiments on Implementation of Elliptic Curve Arithmetic over Complex Fields Using java BigInteger Class
Language en_US
Publication date 2019-04
Authors
Hla, Ni Ni
Aung, Tun Myat
Description
Elliptic curve cryptosystems are nowadays widelyused in public communication channels for network security.Their security depends on the complexity of solving the ellipticcurve discrete logarithm problem. But, there are several generalattacks in them. Elliptic curve arithmetic is implemented overcomplex fields to improve the security of elliptic curvecryptosystems. This paper begins the characteristics of ellipticcurve cryptosystems and their security services. Then wediscuss finite field arithmetic and its properties, prime fieldarithmetic, binary field arithmetic and complex numberarithmetic, and elliptic curve arithmetic over prime field andbinary field. This paper proposes how to implement complexnumber arithmetic under prime field and binary field using javaBigInteger class and we implement elliptic curve arithmetic andelliptic curve cryptosystems using complex numbers over primefield and binary field and discuss the experiments that got fromour implementations.
Keywords
binary field, complex number, elliptic curve, experiments, implementation, prime field
Identifier 1796- 2021
Journal articles
Journal of Communications
Conference papers
Books/reports/chapters
Thesis/dissertations
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