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Lower Bounds on the Covering Radius of the Non-Binary and Binary Irreducible Goppa Codes

机译：非二进制和二进制不可约式Goppa码的覆盖半径的下界

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摘要

New lower bounds on the covering radius for different subclasses of irreducible Goppa codes are obtained.

机译：对于不可还原的Goppa码的不同子类，获得了覆盖半径的新下限。

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来源
《IEEE Transactions on Information Theory》 |2018年第11期|7171-7177|共7页
作者
Sergey V. Bezzateev; Natalia A. Shekhunova;
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作者单位

Department of Cyber-Physical Systems Security, Saint Petersburg National Research University of Information Technologies, Mechanics and Optics, Saint Petersburg, Russia;

Department of Aerospace Computer and Program Systems, Saint Petersburg State University of Aerospace Instrumentation, Saint Petersburg, Russia;

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原文格式 PDF
正文语种 eng
中图分类
关键词
Parity check codes; Linear codes; Aerospace materials; Indexes; History; Mathematics;

机译：奇偶校验码;线性码;航空航天材料;索引;历史记录;数学;

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1. Lower bound of covering radius of binary irreducible Goppa codes [J] . Bezzateev Sergey, Shekhunova Natalia Designs, Codes and Crytography . 2017,第1a2期

机译：二进制不可约Goppa码的覆盖半径下界
2. Lower Bounds for Binary Codes of Covering Radius One [J] . Haas W. IEEE Transactions on Information Theory . 2007,第8期

机译：覆盖半径一的二进制代码的下界
3. Binary and ternary codes of covering radius one: some new lower bounds [J] . Wolfgang Haas Discrete mathematics . 2002,第1a2期

机译：覆盖半径一的二进制和三进制代码：一些新的下界
4. Algebraic-geometric approach in determining the covering radius oflong non-binary BCH codes [C] . Kaipainen Y. Information Theory. 1997. Proceedings., 1997 IEEE International Symposium on . -1

机译：确定覆盖半径的代数几何方法长的非二进制BCH码
5. Distributed video coding using non-binary LDPC codes [D] . Chilumuru, Suma 2006

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6. Gender identity disparities in Pap test use in a sample of binary and non-binary transmasculine adults [O] . Madina Agénor, Jaclyn M. White Hughto, Sarah M. Peitzmeier, 2018

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7. Binary and ternary codes of covering radius one: some new lower bounds [O] . Haas Wolfgang 2002

机译：覆盖半径一的二进制和三进制代码：一些新的下界

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