# A Cryptosystem Using the Concepts of Algebraic Geometric Code

 dc.contributor.author Pramod, K V dc.contributor.author Manju, C dc.date.accessioned 2010-12-06T08:21:06Z dc.date.available 2010-12-06T08:21:06Z dc.date.issued 2010 dc.identifier.issn 1549-3636 dc.identifier.other Journal of Computer Science 6 (3): 244-249, 2010 dc.identifier.uri http://dyuthi.cusat.ac.in/xmlui/purl/2007 dc.description.abstract Cryptosystem using linear codes was developed in 1978 by Mc-Eliece. en_US Later in 1985 Niederreiter and others developed a modified version of cryptosystem using concepts of linear codes. But these systems were not used frequently because of its larger key size. In this study we were designing a cryptosystem using the concepts of algebraic geometric codes with smaller key size. Error detection and correction can be done efficiently by simple decoding methods using the cryptosystem developed. Approach: Algebraic geometric codes are codes, generated using curves. The cryptosystem use basic concepts of elliptic curves cryptography and generator matrix. Decrypted information takes the form of a repetition code. Due to this complexity of decoding procedure is reduced. Error detection and correction can be carried out efficiently by solving a simple system of linear equations, there by imposing the concepts of security along with error detection and correction. Results: Implementation of the algorithm is done on MATLAB and comparative analysis is also done on various parameters of the system. Attacks are common to all cryptosystems. But by securely choosing curve, field and representation of elements in field, we can overcome the attacks and a stable system can be generated. Conclusion: The algorithm defined here protects the information from an intruder and also from the error in communication channel by efficient error correction methods. dc.description.sponsorship Cochin University of Science and Technology & Bharathidasan Government College for Women Puducherry. en_US dc.language.iso en en_US dc.publisher Science Publications en_US dc.subject Algebraic geometric code en_US dc.subject Cryptography en_US dc.subject Repetition codes en_US dc.subject Decoding en_US dc.title A Cryptosystem Using the Concepts of Algebraic Geometric Code en_US dc.type Working Paper en_US dc.contributor.faculty Technology en_US
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