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- W4366999478 abstract "In a DNA sequence, we have the celebrated Watson-Crick complement $overline{T}=A$, $overline{A}=T$, $overline{C}=G$, and $overline{G}=C$. Given an integer $mge 2$, a secondary structure in a DNA sequence refers to the existence of two non-overlapping reverse complement consecutive subsequences of length $m$, denoted as $boldsymbol{x}=(x_1, dots, x_m)$ and $boldsymbol{y}=(y_1, dots, y_m)$, such that $x_i=overline{y_{m-i+1}}$ for $1leq i leq m$. The property of secondary structure avoidance (SSA) forbids a sequence to contain such reverse complement subsequences, and it is a key criterion in the design of single-stranded DNA sequences for DNA computing and storage. In this paper, we improve on a recent result of Nguyen et al., by introducing explicit constructions of secondary structure avoidance codes and analyzing the capacity for any given $m$. In particular, our constructions have optimal rate 1.1679bits/nt and 1.5515bits/nt when $m=2$ and $m=3$, respectively." @default.
- W4366999478 created "2023-04-27" @default.
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- W4366999478 date "2023-04-22" @default.
- W4366999478 modified "2023-10-16" @default.
- W4366999478 title "Improved constructions of secondary structure avoidance codes for DNA sequences" @default.
- W4366999478 doi "https://doi.org/10.48550/arxiv.2304.11403" @default.
- W4366999478 hasPublicationYear "2023" @default.
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