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Near orders and codes

C. Carvalho·C. Munuera·E. Silva·F. Torres
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Abstract

Hoholdt, van Lint and Pellikaan used order functions to construct codes by means of Linear Algebra and Semigroup Theory only. However, Geometric Goppa codes that can be represented by this method are mainly those based on just one point. In this paper we introduce the concept of near order function with the aim of generalize this approach in such a way that a of wider family of Geometric Goppa codes can be studied on a more elementary setting.

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C. Carvalho, C. Munuera, E. Silva, F. Torres. 2006-03-02. Near orders and codes. https://arxiv.org/abs/cs/0603014

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