Construction of cyclic codes over GF(4) for DNA computing Academic Article

abstract

• In this paper, we develop the theory for constructing linear and additive cyclic codes of odd length over GF (4) that are suitable for DNA computing. We call this class of codes reversible complement cyclic codes. We use this theory to study all such codes of lengths 7, 9, 11 and 13. We list the codes that have the largest number of codewords for a given minimum Hamming distance. We show that some of these codes have more codewords than previously known codes with the same minimum Hamming distance. 2006 The Franklin Institute.

authors

• Ghrayeb, Ali

published proceedings

• Journal of the Franklin Institute

altmetric score

• 3

author list (cited authors)

• Abualrub, T., Ghrayeb, A., & Zeng, X. N.

citation count

• 49

complete list of authors

• Abualrub, Taher||Ghrayeb, Ali||Zeng, Xiang Nian

publication date

• July 2006

publisher

• Elsevier  Publisher

published in

• Journal of the Franklin Institute  Journal

Digital Object Identifier (DOI)

• 10.1016/j.jfranklin.2006.02.009

start page

• 448

end page

• 457

volume

• 343

issue

• 4-5

URL

• http://dx.doi.org/10.1016/j.jfranklin.2006.02.009