ON THE COVERING RADIUS OF SOME BINARY CYCLIC CODES

Arce-Nazario Rafael; Castro Francis N.; Ortiz-Ubarri Jose

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ON THE COVERING RADIUS OF SOME BINARY CYCLIC CODES

机译：关于一些二进制循环码的覆盖半径

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摘要

We compute the covering radius of some families of binary cyclic codes. In particular, we compute the covering radius of cyclic codes with two zeros and minimum distance greater than 3. We also compute the covering radius of some binary primitive BCH codes over F-2f, where f = 7, 8.

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来源
《Advances in mathematics of communications》 |2017年第2期|共10页
作者
Arce-Nazario Rafael; Castro Francis N.; Ortiz-Ubarri Jose;
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作者单位

Univ Puerto Rico Dept Comp Sci San Juan PR 00931 USA;

Univ Puerto Rico Dept Math San Juan PR 00931 USA;

Univ Puerto Rico Dept Comp Sci San Juan PR 00931 USA;

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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
Binary cyclic codes; covering radius; minimum distance;

机译：二进制循环码;覆盖半径;最小距离;

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1. Binary Cyclic Codes and Minimal Codewords [J] . Selda Calkavur 计算机技术与应用：英文 . 2013,第009期
2. GOOD p-ARY QUASIC-CYCLIC CODES FROM CYCLIC CODES OVER Fp + vFp [J] . Minjia SHI, Shanlin YANG, Shixin ZHU 系统科学与复杂性：英文版 . 2012,第002期
3. ON THE COVERING RADIUS OF SOME BINARY CYCLIC CODES [J] . Arce-Nazario Rafael, Castro Francis N., Ortiz-Ubarri Jose Advances in mathematics of communications . 2017,第2期

机译：关于一些二进制循环码的覆盖半径
4. Lower Bounds on the Covering Radius of the Non-Binary and Binary Irreducible Goppa Codes [J] . Sergey V. Bezzateev, Natalia A. Shekhunova IEEE Transactions on Information Theory . 2018,第11期

机译：非二进制和二进制不可约式Goppa码的覆盖半径的下界
5. The covering radii of a class of binary cyclic codes and some BCH codes [J] . Kavut Selcuk, Tutdere Seher Designs, Codes and Crytography . 2019,第2a3期

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6. On the Covering Radius of Certain Cyclic Codes [C] . Oscar Moreno, Francis N. Castro International symposium on applied algebra, algebraic algorithms and error-correcting codes . 2003

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7. Algebraic constructions of high performance and efficiently encodable non-binary quasi-cyclic LDPC codes. [D] . Zhou, Bo. 2008

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9. On the covering radius of some binary cyclic codes [O] . Rafael Arce-Nazario, Francis N. Castro, Jose Ortiz-Ubarri 2017

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10. Fast Generation and Covering Radius of Reed-Muller Codes [R] . Alexopoulos, A. 2009

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ON THE COVERING RADIUS OF SOME BINARY CYCLIC CODES

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