Condensed Matter Physics, 2008, vol. 11, No. 2(54), p. 383, English
DOI:10.5488/CMP.11.2.383
Title:
Quantum codes from algebraic curves with automorphisms
Author(s):

T.Shaska
(Science and Engineering Building, Department of Mathematics and Statistics, Oakland University, Rochester, MI, 48309 367 Science and Engineering Building, Department of Mathematics and Statistics, Oakland University, Rochester, MI, 48309; University of Maria Curie Sklodovska, Lublin, Poland University of Maria Curie Sklodovska, Lublin, Poland)
,

Let Χ be an algebraic curve of genus g ≥ 2 defined over a field F_{q} of characteristic p > 0. From Χ, under certain conditions, we can construct an algebraic geometry code C. If the code C is selforthogonal under the symplectic product then we can construct a quantum code Q, called a QAGcode. In this paper we study the construction of such codes from curves with automorphisms and the relation between the automorphism group of the curve Χ and the codes C and Q.
Key words:
algebraic curves, algebraicgeometry codes, quantum algebraic codes
PACS:
03.67.Dd
