2012/02/11 by Edoardo Ballico, Ballico, Edoardo, Alberto Ravagnani +1
Computer Science · Engineering · #11G20 #14C20 #2010 #94B27 #Advanced Wireless Network Optimization #Algebraic Geometry (math.AG) #Coding theory and cryptography #Cooperative Communication and Network Coding #FOS: Mathematics
paper · pdf · doi:10.48550/arxiv.1202.2453
openalex publication_date 2012/02/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper we study the algebraic geometry of any two-point code on the Hermitian curve and reveal the purely geometric nature of their dual minimum distance. We describe the minimum-weight codewords of many of their dual codes through an explicit geometric characterization of their supports. In particular, we show that they appear as sets of collinear points in many cases.