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Multiple Point Compression on Elliptic Curves

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dc.contributor.author Otemissov, Adilet
dc.date.accessioned 2016-06-14T02:48:58Z
dc.date.available 2016-06-14T02:48:58Z
dc.date.issued 2015
dc.identifier.citation Otemissov Adilet. 2015. Multiple Point Compression on Elliptic Curves. School of Science and Technology. Mathematics Department. http://nur.nu.edu.kz/handle/123456789/1633 ru_RU
dc.identifier.uri http://nur.nu.edu.kz/handle/123456789/1633
dc.description.abstract The paper aims at developing new point compression algorithms which are useful in mobile communication systems where Elliptic Curve Cryptography is employed to achieve secure data storage and transmission. Compression algorithms allow elliptic curve points to be represented in the form that balances the usage of memory and computational power. The two- and three-point compression algorithms developed by Khabbazian, Gulliver and Bhargava [4] are reviewed and extended to generic cases of four and five points. The proposed methods use only basic operations (multiplication, division, etc.) and avoids square root finding. In addition, a new two-point compression method which is heavy in compression phase and light in decompression is developed. ru_RU
dc.language.iso en ru_RU
dc.publisher Nazarbayev University School of Science and Technology
dc.rights Attribution-NonCommercial-ShareAlike 3.0 United States *
dc.rights.uri http://creativecommons.org/licenses/by-nc-sa/3.0/us/ *
dc.subject Capstone Project ru_RU
dc.subject Elliptic Curves ru_RU
dc.subject Elliptic Curve Cryptography ru_RU
dc.title Multiple Point Compression on Elliptic Curves ru_RU
dc.type Capstone Project ru_RU


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