Title
On Constant GC-content Cyclic DNA Codes With Long Codewords
Abstract
In this study, we construct a cyclic DNA code that satisfies the Watson−Crick model, i.e., the reverse and the complement of any codeword are codewords. Similar to irreducible cyclic codes, we use the trace function over a finite field extension to generate our DNA code. MacWilliams–Seery algorithm to evaluate the weight distribution of binary irreducible cyclic codes is used to observe the GC-content distribution of our code. Then, a simple algorithm is proposed to select a sub-code with constant GC-content. Therefore, this sub-code would be a cyclic, reverse-complement, and constant GC-content DNA code. A few illustrative examples show the appropriateness of our algorithm for generating over 100000 DNA strands of length n > 1000 and a predefined constant GC-content.
Year
DOI
Venue
2018
10.23919/ISITA.2018.8664300
2018 International Symposium on Information Theory and Its Applications (ISITA)
Keywords
Field
DocType
DNA,Generators,Organisms,Computational modeling,Zinc,Parity check codes,Mathematics
Discrete mathematics,Finite field,Computer science,Genetic code,Code word,Trace (linear algebra),GC-content,SIMPLE algorithm,Weight distribution,Binary number
Conference
ISBN
Citations 
PageRank 
978-4-88552-318-2
0
0.34
References 
Authors
0
2
Name
Order
Citations
PageRank
Ramy F. Taki El-Din131.12
Hajime Matsui2188.14