IJPAM: Volume 98, No. 3 (2015)

ON THE GEOMETRY OF SMALL WEIGHT CODEWORDS
OF DUAL ALGEBRAIC GEOMETRIC CODES

Claudio Fontanari$^1$, Chiara Marcolla$^2$
Dipartimento di Matematica
Università di Trento
Via Sommarive 14, 38123 Trento, ITALY


Abstract. We investigate the geometry of the support of small weight codewords of dual algebraic geometric codes on smooth complete intersections by applying the powerful tools recently developed by Alain Couvreur. In particular, by restricting ourselves to the case of Hermitian codes, we recover and extend previous results obtained by the second named author joint with Marco Pellegrini and Massimiliano Sala.

Received: April 17, 2012

AMS Subject Classification: 68Pxx

Key Words and Phrases: small weight codewords, algebraic geometric codes

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DOI: 10.12732/ijpam.v98i3.1 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: 2015
Volume: 98
Issue: 3
Pages: 303 - 307


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