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ON UNDETECTABLE ERROR PROBABILITIES OF LINEAR BLOCK CODES
关于线性分组码的不可检错误概率

Keywords: Information theory,Linear block code,Dual code,Undetectabl: error probability,Good code for error detection
信息论
,线性分组码,对偶码,不可检错误概率,检错好码

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Abstract:

The definition of good codes for error detection is given- It is proved that linear block codes in GF(q) are good codes for error detection if and only if its dual codes are good ones also- A series of new results abour good codes for error detection is derived. New lower bounds on undetectable error probabilities of binary (n,k) linear block codes are obtained, which have no relation to the weight structure of the codes but only to n and k.

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