MacWilliam’s Identity Over Some Special Posets

---

Copy For Citation

AKBIYIK S., ŞİAP İ.

COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, no.62, pp.61-71, 2013 (Peer-Reviewed Journal)

• Publication Type: Article / Article
• Publication Date: 2013
• Journal Name: COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS
• Journal Indexes: TR DİZİN (ULAKBİM)
• Page Numbers: pp.61-71
• Yıldız Technical University Affiliated: Yes

Abstract

In this paper we introduce a level weight enumerator for linear binary codes whose index set is a forest. This weight enumerator gives most of the weight enumerators as a special case by specializing its variables. We prove a MacWilliams identity for this weight enumerator over this special family of posets which also generalizes the previous results in literature. Further, both the code and its dual are considered over this family of posets using the deÖnition of this weight enumerator which was not possible before. We conclude by an illustrative example and some remarks.