关于等重码不可检错误概率的界

Bounds of Undetected Error Probability for Binary Constant Weight Codes

本文研究了二元等重码不可检错误概率(UEP)的界.首先,我们通过研究二元等重码的对偶距离分布及其性质,给出二元等重码UEP的一个新的下界,该下界改进了Fu-K lve-W ei的最新结果;然后,我们指出2003年Fu-K lve-W ei关于二元等重码UEP上界的某些结果有错误,我们随后给出更正后的结果,即二元等重码UEP的平均值和一个上界.

Bounds of undetected error probability （UEP） for binary constant weight codes （BCWCs） are stud- ied in this paper. Firstly, by using the dual distance distribution and its properties for BCWC, we obtain a new lower bound of UEP for BCWC which improves the best known corresponding results by Fu-KIфve-Wei. We point out that there are mistakes in results of Fu-KIфve-Wei in 2003 which discussed the upper bounds,and a new upper bound of UEP for BCWC are obtained.