Optimal codes for correcting single errors and detecting adjacent errors

Etzion T.

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Optimal codes for correcting single errors and detecting adjacent errors

机译：纠正单个错误和检测相邻错误的最佳代码

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Optimal codes that correct single errors and detect double errors within nibbles of power of two length are presented. For each n, a code of length n with the largest possible dimension which corrects single errors and detects double adjacent errors is presented. The problem of constructing optimal codes which correct single errors and detect double adjacent errors within nibbles of length l is discussed.

机译：给出了在两个长度的幂半字节内纠正单个错误并检测到双错误的最佳代码。对于每个n，都提供了长度为n的代码，该代码具有最大可能的尺寸，可纠正单个错误并检测到两个相邻错误。讨论了构造最佳代码的问题，该代码可以校正单个错误并检测长度为1的半字节内的两个相邻错误。

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《IEEE Transactions on Information Theory》 |1992年第4期|P.1357-1360|共4页
作者
Etzion T.;
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正文语种 eng
中图分类无线电电子学、电信技术;
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专利

1. A note on "A systematic (12,8) code for correcting single errors and detecting adjacent errors" [J] . Blaum M., Bruck J. IEEE Transactions on Computers . 1994,第1期

机译：关于“用于纠正单个错误并检测相邻错误的系统（12,8）代码”的注释
2. A systematic (12,8) code for correcting single errors and detecting adjacent errors [J] . Schwartz J.W., Wolf J.K. IEEE Transactions on Computers . 1990,第11期

机译：系统的（12,8）代码，用于纠正单个错误并检测相邻错误
3. Adjacent Double Bit Error Correcting Codes with Single Byte Error Detecting Capability for Memory Systems [J] . Ganesan Umanesan, Eiji Fujiwara IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences . 2002,第2期

机译：具有单字节错误检测功能的存储系统的相邻双位纠错码
4. Some classes of systematic polynomial codes correcting single- and adjacent transposition errors [C] . Yanling Chen, A. J. Han Vinck International Symposium on Information Theory and its Applications . 2018

机译：某些类型的系统多项式代码，可校正单次和相邻转置错误
5. BLOCK CODES CAPABLE OF CORRECTING BOTH SYNCHRONIZATION ERRORS AND ADDITIVE ERRORS [D] . 飯塚, 育生 1980

机译：能够同时纠正同步错误和附加错误的块代码
6. Single molecule counting and assessment of random molecular tagging errors with transposable giga-scale error-correcting barcodes [O] . Billy T. Lau, Hanlee P. Ji 2017

机译：单分子计数和可转移千兆位纠错条形码对随机分子标记错误的评估
7. A Note on “A Systematic (12,8) Code for Correcting Single Errors and Detecting Adjacent Errors” [O] . Blaum Mario, Bruck Jehoshua, Tolhuizen Ludo 1994

机译：关于“用于纠正单个错误和检测相邻错误的系统（12,8）代码”的注释
8. Optimal Unidirectional Error Detecting/Correcting Codes. [R] . Bose, B., Pradhan, D. K. 1981

机译：最佳单向错误检测/纠正码。

Optimal codes for correcting single errors and detecting adjacent errors

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