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Sequence Reconstruction for Limited-Magnitude Errors.
- Source :
- IEEE Transactions on Information Theory; Jul2022, Vol. 68 Issue 7, p4422-4434, 13p
- Publication Year :
- 2022
-
Abstract
- Motivated by applications to DNA storage, we study reconstruction and list-reconstruction schemes for integer vectors that suffer from limited-magnitude errors. We characterize the asymptotic size of the intersection of error balls in relation to the code’s minimum distance. We also devise efficient reconstruction algorithms for various limited-magnitude error parameter ranges. We then extend these algorithms to the list-reconstruction scheme, and show the trade-off between the asymptotic list size and the number of required channel outputs. These results apply to all codes, without any assumptions on the code structure. Finally, we also study linear reconstruction codes with small intersection, as well as show a connection to list-reconstruction codes for the tandem-duplication channel. [ABSTRACT FROM AUTHOR]
- Subjects :
- LINEAR codes
CHANNEL coding
INTEGERS
NOISE measurement
Subjects
Details
- Language :
- English
- ISSN :
- 00189448
- Volume :
- 68
- Issue :
- 7
- Database :
- Complementary Index
- Journal :
- IEEE Transactions on Information Theory
- Publication Type :
- Academic Journal
- Accession number :
- 157551892
- Full Text :
- https://doi.org/10.1109/TIT.2022.3159736