arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1607.01233math.CO
收藏

删除校正码和优势向量

Deletion-correcting codes and dominant vectors

Emil Kolev

摘要:

在本文中,我们描述了所有的二进制向量对$({\bf u}, {\bf v})$,使得在${\bf v}$中通过$t$删除获得的向量集是在$t=1,2$的${\bf u}$中通过$t$删除获得的向量集的子集。这样的对对于找到$L_2(n,t)$的值,即二进制$t$的最大基数-长度为$n$的删除校正码起着重要的作用。

英文摘要:

In this paper we describe all pairs of binary vectors $({\bf u}, {\bf v})$ such that the set of vectors obtained by $t$ deletions in ${\bf v}$ is a subset of the set of vectors obtained by $t$ deletions in ${\bf u}$ for $t=1,2$. Such pairs play an important role for finding the value of $L_2(n,t)$, the maximum cardinality of binary $t$-deletion-correcting code of length $n$.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑