I first became involved in coding theory when I taught a graduate course at Oakland University during Fall 2006. One of the projects that one of my student G. Wijesiri did for the course was on Codes, Hermitian lattices, and theta functions. Later that project became our first paper in coding theory.
Later, I had a few more papers (in chronological order):
Shaska, T.; Shor, C. Codes over F_{p2} and F_{p} x F_{p,} Hermitian lattices, and corresponding theta functions. Advances in Coding Theory and Cryptology, vol 3. (2007), pg. 70-80.
Shaska, T. Quantum codes from algebraic curves with automorphisms. Condensed Matter Physics, 2008, Vol. 11, No 2 (54),383-396.
16 (2010), no. 2, 75–87.Shaska, T.; Shor, C.; Wijesiri, S.; Codes, modular lattices, and corresponding theta functions, Finite Fields Appl.,
A. Elezi, T. Shaska, Quantum codes from superelliptic curves, Albanian J. Math. vol 5, (2011), no. 4, 175-191.
T. Shaska, C. Shor, Theta functions and symmetric weight enumerators for codes over imaginary quadratic fields, Designs, Codes and Cryptography, (to appear)
An introduction to zeta functions of algebraic geometry codes (in progress)
Weight enumerators and zeta functions of algebraic geometry codes (in progress) |