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二元非线性2-重量码的检错性能
BINARY 2-WEIGHTS CODES FOR ERROR DETECTION
【摘要】 设C为二元非线性2-重量码(n,2,ω1,ω2),本文讨论了C的不可检错误概率.首先给出了C成为最佳检错码的一个必要条件;接着我们证明了当n>2ω2时,C一定不是最佳检错码;然后,对于ω1+ω2=n的情形,我们找出了其中所有的最佳检错码.
【Abstract】 The error-detected abilitiy of binary nonlinear 2-weights codes is studied inthis paper. First, a necessary condition of binary nonlinear 2-weights codes being properis proposed. Then, we show that there exiests no binary nonlinear proper 2-weights codeswhen n>2ω2. Finally, for binary nonlinear self-complementary 2-weights codes, we find allproper one.
【关键词】 二元非线性2-重量码;
二元非线性互补2-重量码;
不可检错误概率;
最佳检错码;
【Key words】 Binary nonlinear 2-weights codes; binary self-complementary 2-weights codes; undetected error probability; proper code;
【Key words】 Binary nonlinear 2-weights codes; binary self-complementary 2-weights codes; undetected error probability; proper code;
【基金】 国家自然科学基金;高等学校博士学科点专项基金
- 【文献出处】 应用数学学报 ,ACTA MATHEMATICAE APPLICATAE SINICA , 编辑部邮箱 ,1998年03期
- 【分类号】O157.4
- 【被引频次】4
- 【下载频次】38