Codes over F-4, Jacobi forms and Hilbert-Siegel modular forms over Q(A root 5)
SCIE
SCOPUS
- Title
- Codes over F-4, Jacobi forms and Hilbert-Siegel modular forms over Q(A root 5)
- Authors
- Betsumiya, K; Choie, Y
- Date Issued
- 2005-07
- Publisher
- ACADEMIC PRESS LTD ELSEVIER SCIENCE L
- Abstract
- We study codes over a finite field F-4. We relate self-dual codes over F-4 to real 5-mod ular lattices,nd to self-dual codes over F-2 via a Gray map. We construct Jacobi forms over Q(root 5) from the (omplete weight enumerators of self-dual codes over F-4. Furthermore, we relate Hilbert-Siegel forms to the joint weight enumerators of self-dual codes over F-4. (c) 2004 Elsevier Ltd. All rights reserved.
- Keywords
- self-dual codes; integral lattices; Jacobi forms Hilbert modular forms; Hilbert-Siegel modular forms over Q(root 5); SELF-DUAL CODES; II CODES
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/24688
- DOI
- 10.1016/j.ejc.2004.04.010
- ISSN
- 0195-6698
- Article Type
- Article
- Citation
- EUROPEAN JOURNAL OF COMBINATORICS, vol. 26, no. 5, page. 629 - 650, 2005-07
- Files in This Item:
- There are no files associated with this item.
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.