| Chinese Remainder Codes |
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| 作者姓名： | 张爱丽 刘秀峰 靳蕃 |
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| 作者单位： | [1]DepartmentofAppliedMathematics，SouthwestJiaotongUniversity，Chengdu610031，China [2]SchoolofComputerandCommunicationEngineering，SouthwestJiaotongUniversity，Chengdu610031，China |
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| 摘 要： | Chinese Remainder Codes are constructed by applying weak block designs and Chinese Remainder Theorem of ring theory．The new type of linear codes take the congruence class in the congruence class ring R/I1∩I2∩…∩In for the information bit,embed R/Ji into R/I1∩I2∩…∩In,and asssign the cosets of R/Ji as the subring of R/I1∩I2∩…∩In and the cosets of R/Ji in R/I1∩I2∩…∩In as check lines.There exist many code classes in Chinese Remainder Codes,which have high code rates.Chinese Remainder codes are the essential generalization of sun Zi Codes.
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| 关 键 词： | 误差校正代码 汉语余数代码 编码理论 线性代码 |
Chinese Remainder Codes |
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| Zhang Aili Liu Xiufeng Jin Fan.Chinese Remainder Codes[J].Journal of Southwest Jiaotong University,2004,12(1):73-78. |
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| Authors: | Zhang Aili Liu Xiufeng Jin Fan |
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| Institution: | 1. Department of Applied Mathematics, Southwest Jiaotong University, Chengdu 610031, China
2. School of Computer and Communication Engineering, Southwest Jiaotong University, Chengdu 610031, China |
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| Abstract: | Chinese Remainder Codes are constructed by applying weak block designs and Chinese Remainder Theorem of ring theory. The new type of linear codes take the congruence class in the congruence class ring R/I1∩I2∩…∩In for the information bit, embed R/Ji into R/I1∩I2∩…∩In, and asssign the cosets of R/Ji as the subring of R/I1∩I2∩…∩In and the cosets of R/Ji in R/I1∩I2∩…∩In as check lines. There exist many code classes in Chinese Remainder Codes, which have high code rates. Chinese Remainder Codes are the essential generalization of Sun Zi Codes. |
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| Keywords: | Block design Chinese Remainder Theorem Error-correcting codes Sun Zi Codes |
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