RSC卷级码中的自结尾序列和最小码重

Self-Terminated Input Sequences and Free Distances of the RSC

对自结尾输入序列进行了研究 ,证明了自结尾输入序列的若干性质 ,揭示了自结尾输入序列与RSC码的最小码重关系。指出较短的自结尾输入序列通常产生较轻的输出码重。尤其对一类重量为 2的自结尾序列给予了特别关注 ,并进行了深入研究。最后给出了RSC码最小码重的一个上限 ,并通过例子说明这个上限是很紧的 ,很多情况下就是最小码重。

An in-depth study on the self-terminated input sequences is presented. Several features about self-terminated input sequences are proved, and the relations between the self-terminated input sequences and the low weights of RSC are derived. It is shown that a shorter self-terminated input sequence usually produces a lower output. A special consideration is on the weight 2 self-terminated input sequences and intensive research work is done. Finally, a very tight upper bound of RSC's free distance is given, which sometimes is equal to the free distance.