Single-Deletion Single-Substitution Correcting Codes
Single-Deletion Single-Substitution Correcting Codes
复制标题
单删除单替换校正码
DOI：
10.1109/isit44484.2020.9174213
复制
发表时间：
2020
期刊：
影响因子：
--
通讯作者：
Eitan Yaakobi
中科院分区：
文献类型：
--
作者：
Ilia Smagloy;L. Welter;A. Wachter;Eitan Yaakobi
Correcting insertions/deletions as well as substitution errors simultaneously plays an important role in DNA-based storage systems as well as in classical communications. This paper deals with the fundamental task of constructing codes that can correct a single insertion or deletion along with a single substitution. A non-asymptotic upper bound on the size of singledeletion single-substitution correcting codes is derived, showing that the redundancy of such a code of length n has to be at least 2 log n. The bound is presented both for binary and non-binary codes while an extension to single deletion and multiple substitutions is presented for binary codes. An explicit construction of single-deletion single-substitution correcting codes with at most 6 log n + 8 redundancy bits is derived. Note that the best known construction for this problem has to use 3-deletion correcting codes whose best known redundancy is roughly 24 log n.
指示向量的两个删除校正代码
影响因子：
2.5
作者：
Sima, J.;Raviv, N. and
通讯作者：
Raviv, N. and