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Linear codes over finite fields and finite projective geometries

机译:有限域和有限射影几何上的线性代码

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摘要

The aim of this paper is to survey relationships between linear block codes over finite fields and finite projective geometries. Each of these two topics is interesting by itself and has been subject to substantial research. In the last decade, a lot of progress has been made in both areas. Yet many challenging problems remain unsolved. Our goal is to state some of the basic results, as well as the recent advances in both areas in order to stimulate further research.
机译:本文的目的是调查有限域上的线性块代码与有限投影几何之间的关系。这两个主题中的每个主题本身都很有趣,并且已经进行了大量研究。在过去的十年中,这两个领域都取得了很多进展。然而,许多具有挑战性的问题仍未解决。我们的目标是陈述一些基本结果以及这两个领域的最新进展,以促进进一步的研究。

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