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ERROR-DETECTING CODES AND UNDETECTED ERROR PROBABILITIES
作者姓名:徐大专
作者单位:Dept. of
摘    要:The definition of good codes for error-detection is given. It is proved that a (n, k) linear block code in GF(q) are the good code for error-detection, if and only if its dual code is also. A series of new results about the good codes for error-detection are derived. New lower bounds for undetected error probabilities are obtained, which are relative to n and k only, and not the weight structure of the codes.


Error-detecting codes and undetected error probabilities
Xu Dazhaun.ERROR-DETECTING CODES AND UNDETECTED ERROR PROBABILITIES[J].Journal of Electronics,1994,11(1):37-43.
Authors:Xu Dazhaun
Affiliation:(1) Dept. of Electronic Engineering, Nanjing University of Aeronautics & Astronautics, 210016 Nanjing
Abstract:The definition of good codes for error-detection is given. It is proved that a (n, k) linear block code in GF(q) are the good code for error-detection, if and only if its dual code is also. A series of new results about the good codes for error-detection are derived. New lower bounds for undetected error probabilities are obtained, which are relative to n and k only, and not the weight structure of the codes.
Keywords:Information theory  Linear block code  Dual code  Undetected error probability  Good code for error-detection
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