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Nonstandard coding method for nonbinary codes correcting localized errors

机译:非线性代码的非标准编码方法纠正本地化错误

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Summary form only given. In Ahlswede et al. (1993) we claimed that the transmission rate of a nonbinary (q-ary) code of length n which corrects /spl tau/n localized errors asymptotically equals the Hamming bound on an interval /spl tau//spl isin/ [0,/spl tau/0], /spl tau/0/spl les/1/2, and conjectured that /spl tau/0=1/2 (transmission rate is zero if the number of errors is greater than or equal to n/2). Though we have not succeeded in proving our conjecture we decided to promulgate the derivation of the incomplete result on the Hamming bound, the more so, as the method of the proof itself is of independent interest.
机译:摘要表格仅给出。在Ahlswede等。 (1993)我们声称,无比(Q-ary)的长度N的传输速率,其校正/拼接才能渐近/拼接地等于间隔/ SPL TAU // SPL ISIN / [0,/ SPL TAU / 0],/ SPL TAU / 0 / SPL LES / 1/2,并猜测该/ SPL TAU / 0 = 1/2(如果误差的数量大于或等于N / 2,则传输速率为零)。虽然我们没有成功证明我们的猜想,但我们决定颁布不完整导致的汉明绑定的导出,所以随着证据本身的方法是独立的兴趣。

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