The structure of duals of cyclic codes over 𝔽₂ + u𝔽₂ + v𝔽₂ + uv𝔽₂ and some DNA codes
by Srinivasulu Bathala; Maheshanand Bhaintwal
International Journal of Information and Coding Theory (IJICOT), Vol. 4, No. 1, 2017

Abstract: In this paper, we study the structure of duals of cyclic codes over the ring R = 𝔽₂ + u𝔽₂ + v𝔽₂ + uv𝔽₂, u² = v² = 0, uv = vu. We determine a unique set of generators for these codes. We also determine a minimal spanning set for a class of cyclic codes of odd length over R. A sufficient condition for a cyclic code of odd length over R to contain its dual is presented. We give a necessary and sufficient condition for a cyclic code of odd lengths over R to be reversible complement. Further, we construct DNA codes as images of reversible complement cyclic codes of odd length over R.

Online publication date: Mon, 09-Jan-2017

The full text of this article is only available to individual subscribers or to users at subscribing institutions.

 
Existing subscribers:
Go to Inderscience Online Journals to access the Full Text of this article.

Pay per view:
If you are not a subscriber and you just want to read the full contents of this article, buy online access here.

Complimentary Subscribers, Editors or Members of the Editorial Board of the International Journal of Information and Coding Theory (IJICOT):
Login with your Inderscience username and password:

Username:        Password:          Forgotten your password?

Want to subscribe?
A subscription gives you complete access to all articles in the current issue, as well as to all articles in the previous three years (where applicable). See our Orders page to subscribe.

If you still need assistance, please email subs@inderscience.com