On some bounds on the minimum distance of cyclic codes over finite fields

Ozbudak Ferruh; Tutdere Seher; Yayla Oguz

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On some bounds on the minimum distance of cyclic codes over finite fields

机译：有限域上循环码最小距离的某些界

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摘要

Recently, A. Zeh, A. Wachter-Zeh, M. Gadouleau and S. Bezzateev gave a method to obtain new lower bounds on the minimum distance of cyclic codes over finite fields. Here we present some results on a generalization of this method. Then we apply it to several examples of cyclic codes and compare some known bounds with the bounds obtained by this generalization.

机译：最近，A。Zeh，A。Wachter-Zeh，M。Gadouleau和S. Bezzateev给出了一种在有限域上获得循环码最小距离新的下界的方法。在这里，我们对这种方法的一般化提出了一些结果。然后，我们将其应用于循环码的几个示例，并将一些已知范围与通过这种概括获得的范围进行比较。

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来源
《Designs, Codes and Crytography》 |2015年第2期|173-178|共6页
作者
Ozbudak Ferruh; Tutdere Seher; Yayla Oguz;
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作者单位

Middle E Tech Univ, Dept Math, TR-06800 Ankara, Turkey|Middle E Tech Univ, Inst Appl Math, TR-06800 Ankara, Turkey;

Middle E Tech Univ, Inst Appl Math, TR-06800 Ankara, Turkey|Gebze Inst Technol, Dept Math, TR-41400 Gebze, Turkey;

Middle E Tech Univ, Inst Appl Math, TR-06800 Ankara, Turkey;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
Bounds on the minimum distance; Cyclic codes; Zeh-Bezzateev bound; Zeh-Zeh-Bezzateev bound;

机译：最小距离上的界限;循环码;Zeh-Bezzateev界;Zeh-Zeh-Bezzateev界;

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1. A new bound on the minimum distance of cyclic codes using small-minimum-distance cyclic codes [J] . Alexander Zeh, Sergey Bezzateev Designs, Codes and Crytography . 2014,第2期

机译：使用小最小距离循环码的循环码最小距离的新界限
2. A minimum distance bound for 2-dimension A-quasi-twisted codes over finite fields [J] . Lv Jingjie, Gao Jian Finite fields and their applications . 2018,第MAY期

机译：有限域上二维A拟扭码的最小距离限制
3. Lower bound on minimum Lee distance of algebraic-geometric codes over finite fields [J] . X.-W. Wu, M. Kuijper, P. Udaya Electronics Letters . 2007,第15期

机译：有限域上代数几何代码的最小Lee距离的下限
4. Generalizing bounds on the minimum distance of cyclic codes using cyclic product codes [C] . Zeh Alexander, Wachter-Zeh Antonia, Gadouleau Maximilien, IEEE International Symposium on Information Theory . 2013

机译：使用循环乘积码归纳循环码最小距离的界限
5. High code rate, low-density parity-check codes with guaranteed minimum distance and stopping weight. [D] . Miller, John Andrew. 2003

机译：高码率，低密度奇偶校验码，保证最小距离和停止重量。
6. Drift correction for single-molecule imaging by molecular constraint field a distance minimum metric [O] . Renmin Han, Liansan Wang, Fan Xu, 2015

机译：通过分子约束场（距离最小度量）对单分子成像进行漂移校正
7. A new bound on the minimum distance of cyclic codes using small-minimum-distance cyclic codes [O] . Alexander Zeh, Sergey Bezzateev 2012

机译：基于maTLaB的循环码最小距离的新界小最小距离循环码
8. On the Minimum Distance Structure of Cyclic Codes and Decoding Beyond the Bch Bound [R] . Hartmann, C. R. P. 1970

机译：关于循环码的最小距离结构和超出Bch界限的解码

On some bounds on the minimum distance of cyclic codes over finite fields

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