Title :
Toric surfaces and codes
Author :
Hansen, Johan P.
Author_Institution :
Dept. of Math., Aarhus Univ., Denmark
Abstract :
From an integral convex polytope in R2 we give an explicit description of an error-correcting code over the finite field F q of length (q-1)2. The parameters of the code are read from the polytope. The codes are obtained from toric surfaces and the results are proved using the cohomology and intersection theory of such surfaces
Keywords :
algebraic geometric codes; error correction codes; rational functions; cohomology theory; error-correcting code; finite field; integral convex polytope; intersection theory; toric surfaces; Error correction codes; Galois fields; Integral equations; Lattices; Linear code; Mathematics; Piecewise linear techniques; Vectors;
Conference_Titel :
Information Theory Workshop, 1998
Conference_Location :
Killarney
Print_ISBN :
0-7803-4408-1
DOI :
10.1109/ITW.1998.706405
