IJPAM: Volume 85, No. 5 (2013)

LOW WEIGHT CODEWORDS OF CODES COMING
FROM SMOOTH CURVES IN THE HERMITIAN SURFACE

E. Ballico
Department of Mathematics
University of Trento
38 123 Povo (Trento) - Via Sommarive, 14, ITALY


Abstract. Here we describe all codewords with low weight on certain Goppa codes of curves contained in a Hermitian surface H over Fq2. We also show how to construct curves C ⊂ H with good cohomological properties (arithmetically Cohen-Macaulay curves).

Received: March 10, 2013

AMS Subject Classification: 11G20, 14H50, 14N05, 14Q05

Key Words and Phrases: Hermitian surface, dual code, low weight codeword, evaluation code, algebraic-geometric code, arithmetically Cohen-Macaulay curve

Download paper from here.


DOI: 10.12732/ijpam.v85i5.8 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2013
Volume: 85
Issue: 5