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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, KChoie, 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
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최영주CHOIE, YOUNG JU
Dept of Mathematics
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