COLLOQUIUM
DEPARTMENT OF MATHEMATICS AND STATISTICS
OAKLAND UNIVERSITY
ROCHESTER, MICHIGAN 48309
Artur Elezi
American University
Quantum Codes from Superelliptic Curves
Abstract
Let $\X$ be an algebraic curve of genus $g \geq 2$ defined over a field $\F_q$ of characteristic $p > 0$. From $\X$, under certain conditions, we can construct an algebraic geometry code $C_{\X}$. When this code (or its dual) is self-orthogonal under the symplectic product, a quantum algebraic geometry code $Q_{\X}$ is constructed. In this paper we study the construction of such codes from curves with automorphisms and the relation between the automorphism group of the curve $\X$ and the codes $C_{\X}$ and $Q_{\X}$.
(joint work with Tony Shaska)
Tuesday, October 2, 2012
3:00– 4:00 P.M.
372 Science and Engineering Building
(Refreshments at 2:30-3:00 PM in the kitchen area adjacent to 368 SEB)