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 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.
展开▼
机译:仅提供摘要表格。在Ahlswede等人中。 (1993年),我们声称长度为n的非二进制(q元)代码的传输速率渐近地校正了/ spl tau / n局部误差,其间隔等于/ spl tau // spl isin / [0,/ spl tau / 0],/ spl tau / 0 / spl les / 1/2,并推测/ spl tau / 0 = 1/2(如果错误数大于或等于n / 2,则传输率为零)。尽管我们未能成功地证明我们的猜想,但我们还是决定颁布在汉明边界上的不完全结果的推导,而且更是如此,因为证明方法本身具有独立的利益。
展开▼