Enumeration of AGL(m/3, double struck capital F)-invariant extended cyclic codes
by Xiang-Dong Hou
International Journal of Information and Coding Theory (IJICOT), Vol. 1, No. 2, 2010

Abstract: Let p be a prime and let r, e and m be positive integers such that r|e and e|m. The enumeration of linear codes of length pm over double struck capital Fpr which are invariant under the affine linear group AGL(m/e, double struck capital Fpe)is equivalent to the enumeration of certain ideals in a partially ordered set (U, <) where U = {0, 1, ... , m/e(p−1)}e and < is defined by an e-dimensional simplicial cone. When e = 2, the enumeration problem was solved in an earlier paper. In this paper, we consider the cases e = 3. We describe methods for enumerating all AGL(m/3, double struck capital Fp3)-invariant linear codes of length pm over double struck capital Fpr.

Online publication date: Wed, 10-Mar-2010

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