Algebraic Geometric Codes and their relation to Cryptography using Elliptic Curves

Communication is the process of transmitting data across channel. Whenever data is transmitted across a channel, errors are likely to occur. Coding theory is a stream of science that deals with finding efficient ways to encode and decode data, so that any likely errors can be detected and corrected. There are many methods to achieve coding and decoding. One among them is Algebraic Geometric Codes that can be constructed from curves. Cryptography is the science ol‘ security of transmitting messages from a sender to a receiver. The objective is to encrypt message in such a way that an eavesdropper would not be able to read it. A eryptosystem is a set of algorithms for encrypting and decrypting for the purpose of the process of encryption and decryption. Public key eryptosystem such as RSA and DSS are traditionally being prel‘en‘ec| for the purpose of secure communication through the channel. llowever Elliptic Curve eryptosystem have become a viable altemative since they provide greater security and also because of their usage of key of smaller length compared to other existing crypto systems. Elliptic curve cryptography is based on group of points on an elliptic curve over a finite field. This thesis deals with Algebraic Geometric codes and their relation to Cryptography using elliptic curves. Here Goppa codes are used and the curves used are elliptic curve over a finite field. We are relating Algebraic Geometric code to Cryptography by developing a cryptographic algorithm, which includes the process of encryption and decryption of messages. We are making use of fundamental properties of Elliptic curve cryptography for generating the algorithm and is used here to relate both.

Primary hemocyte culture of Penaeus monodon as an in vitro model for white spot syndrome virus titration, viral and immune related gene expression and cytotoxicity assays

Immortal cell lines have not yet been reported from Penaeus monodon, which delimits the prospects of investigating the associated viral pathogens especially white spot syndrome virus (WSSV). In this context, a method of developing primary hemocyte culture from this crustacean has been standardized by employing modified double strength Leibovitz-15 (L-15) growth medium supplemented with 2% glucose, MEM vitamins (1 ), tryptose phosphate broth (2.95 g l 1), 20% FBS, N-phenylthiourea (0.2 mM), 0.06 lgml 1 chloramphenicol, 100 lgml 1 streptomycin and 100 IU ml 1 penicillin and hemolymph drawn from shrimp grown under a bio-secured recirculating aquaculture system (RAS). In this medium the hemocytes remained viable up to 8 days. 5-Bromo-20-deoxyuridine (BrdU) labeling assay revealed its incorporation in 22 ± 7% of cells at 24 h. Susceptibility of the cells to WSSV was confirmed by immunofluoresence assay using a monoclonal antibody against 28 kDa envelope protein of WSSV. A convenient method for determining virus titer as MTT50/ml was standardized employing the primary hemocyte culture. Expression of viral genes and cellular immune genes were also investigated. The cell culture could be demonstrated for determining toxicity of a management chemical (benzalkonium chloride) by determining its IC50. The primary hemocyte culture could serve as a model for WSSV titration and viral and cellular immune related gene expression and also for investigations on cytotoxicity of aquaculture drugs and chemicals