Hyperelliptic Curve Cryptosystem.

Date of Submission

December 2002

Date of Award

Winter 12-12-2003

Institute Name (Publisher)

Indian Statistical Institute

Document Type

Master's Dissertation

Degree Name

Master of Technology

Subject Name

Computer Science


Theoretical Statistics and Mathematics Unit (TSMU-Kolkata)


Barua, Rana (TSMU-Kolkata; ISI)

Abstract (Summary of the Work)

The Internet has becone the most convenient, affordable, widely connected and accpted medium for data conmunication nou. While billions of users worldwide are sharing he same network, sensitive information must be adeguutely protected from 'prying eyes.'With the discovery of Diffie-Hellman key-ezchange protocol in 1976, the Public Key Cryptosyatema (PKCs) have almost taken over the charge of providing the much desired security. The search for newer and newer PKCs and their cryptanalysis has become a part of the mainstream of computer scientific research. The reason for search of newer cryptosystems is twofold: firstly,to increase the ease at which the task of encryption and deeryption can be carried out and secondly, to reduce the computational overhead involved.In PKCs the breaking of the cryptosystem is the getting hold of ones secret privatÄ™ key with feasible amount of computations. Naturally, the larger the private key, the more secure is the cryptosystem. However the length of the private key is a computational overhead and a smaller key length means more efficiency.In this trade-off between efficiency and level of security, the hyperelliptic curve cryptosystem (HECC) is a natural winner.It provides the same level of security as many a ezisting PKCs with much amaller key-length. However, HECC is pet to establish itself as a feasible alternatie to ezisting popular PKCs due to the inherent complerity in the inplementation of certain operations involved.In this thesis, we ezamine different aspects of implementation of a HECC.


ProQuest Collection ID: http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqm&rft_dat=xri:pqdiss:28843828

Control Number


Creative Commons License

Creative Commons Attribution 4.0 International License
This work is licensed under a Creative Commons Attribution 4.0 International License.



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