线性擦除块码在有理数Q或代数结构的领域Ψq

2018 IEEE 18th International Conference on Communication Technology (ICCT) Pub Date : 2018-10-01 DOI:10.1109/ICCT.2018.8600217

Yehor Savchenko

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引用次数: 0

摘要

在本文中，我们定义了建立在有理数$Q$或代数结构$\pmb{\Psi Q}$上的符号擦除信道(SEC)的线性擦除分组码(k, C)的数学模型。我们证明了码(k, C)是最优的必要条件，并且我们证明了一些已经存在的擦除码可以被认为是码(k, C)在a $\pmb{\Psi_{q}}$上的特定情况，例如Luby Transform, Raptor或Zigzag decodec。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Linear Erasure Block Codes over Either a Field of Rational Numbers Q or an Algebraic Structure Ψq

In this paper, we define a mathematical model of linear erasure block codes (k, C) for symbol erasure channels (SEC) that are built over either a field of rational numbers $Q$ or an algebraic structure $\pmb{\Psi q}$. We show the necessary condition for the codes (k, C) to be optimal, and we demonstrate that some of the already existing erasure codes may be considered as the specific cases of the codes (k, C) over a $\pmb{\Psi_{q}}$, such as Luby Transform, Raptor or Zigzag Decodable.

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2018 IEEE 18th International Conference on Communication Technology (ICCT)

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