Research Interests

Cryptology:
Pairings and their applications to cryptology including composite order pairings based protocols, Isogeny computation on elliptic curves, Hashing into elliptic curves, Secret sharing.

Coding Theory:
Construction of codes on function fields and applications, Asymptotically good codes, List decoding algorithms, Grobner basis techniques for construction and list decoding of algebraic geometric codes.

Function field theory:
Drinfeld modules, modular curves and forms, Construction of asymptotically optimal function field towers, Properties of recursive towers.

Publications

Here is my DBLP link:
http://www.informatik.uni-trier.de/~ley/db/indices/a-tree/d/Das:M=_Prem_Laxman.html

Ph. D. Thesis

Title: Studies on Construction and List Decoding of Codes on Some Towers of Function Fields.

1. M. Prem Laxman Das and Kripasindhu Sikdar, List decoding codes on Garcia-Stictenoth tower using Grobner basis. Journal of Symbolic Computation, Special issue on “Grobner basis techniques in Cryptography and Coding Theory” 44(12), pp. 1657–1661, 2009.
2. M. Prem Laxman Das and Palash Sarkar, Pairing Computation on Twisted Edwards Form Elliptic Curve in Pairing-Based Cryptography - Pairing 2008, Second International Conference, Egham, UK, September 1-3, 2008, Proceedings LNCS 5209, pp. 192–210, 2008.
3. M. Prem Laxman Das and Kripasindhu Sikdar, On the Computation of Non-uniform Input for List Decoding on Bezerra-Garcia Tower in Applied Algebra, Algebraic Algorithms and Error-Correcting Codes, 17th International Symposium, AAECC-17, Bangalore, India, December 16-20, 2007, Proceedings LNCS 4851, pp. 237–246, 2007.
4. M. Prem Laxman Das, On Hash Functions and List Decoding with Side Information. IEICE Transactions 90A:6, pp. 1198–1203, 2007.

Contact

M. Prem Laxman Das
Asst. Professor
C.R. Rao Advanced Institute of Mathematics, Statistics and Computer Science (AIMSCS)
University of Hyderabad Campus, Central University Post Office,
Hyderabad – 500 046, India.

Phone: +91 040 23013118
Email: prem.lax@gmail.com