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A Generalized Floor Bound for the Minimum Distance of Geometric Goppa Codes and its Application to Two-Point Codes

2004/08/24 by Benjamin Lundell, Lundell, Benjamin, Jason McCullough +1
Computer Science · Engineering · Mathematics · Medicine · #11T71 #Algebraic Geometry (math.AG) #Coding theory and cryptography #FOS: Mathematics #Number Theory (math.NT) #Peptidase Inhibition and Analysis #graph theory and CDMA systems #math.AG #math.NT #msc:11T71

paper · pdf · doi:10.48550/arxiv.math/0408341

7 pages (fixed typos in second submission)

openalex publication_date 2004/08/24 · arxiv created 2004/08/25 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove a new bound for the minimum distance of geometric Goppa codes that generalizes two previous improved bounds. We include examples of the bound to one and two point codes over both the Suzuki and Hermitian curves.

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