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On the geometry of small weight codewords of dual algebraic geometric codes

2011/04/07 by Claudio Fontanari, Fontanari, Claudio, Chiara Marcolla +1
Computer Science · Engineering · Mathematics · #Advanced Wireless Network Optimization #Algebraic Geometry (math.AG) #Coding theory and cryptography #Cooperative Communication and Network Coding #FOS: Computer and information sciences #FOS: Mathematics #Information Theory (cs.IT) #cs.IT #math.AG #math.IT

paper · pdf · doi:10.48550/arxiv.1104.1320

arxiv created 2011/04/07 · openalex publication_date 2011/04/07 · arxiv updated 2011/04/08 · openalex created_date 2022/10/05 · openalex updated_date 2026/07/28

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.

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