Title of article
Codes over F4, Jacobi forms and Hilbert–Siegel modular forms over Q(5)
Author/Authors
Koichi Betsumiya، نويسنده , , Koichi and Choie، نويسنده , , YoungJu، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2005
Pages
22
From page
629
To page
650
Abstract
We study codes over a finite field F4. We relate self-dual codes over F4 to real 5-modular lattices and to self-dual codes over F2 via a Gray map. We construct Jacobi forms over Q(5) from the complete weight enumerators of self-dual codes over F4. Furthermore, we relate Hilbert–Siegel forms to the joint weight enumerators of self-dual codes over F4.
Keywords
Jacobi forms , Hilbert modular forms , Hilbert–Siegel modular forms over Q(5) , integral lattices , Self-dual codes
Journal title
European Journal of Combinatorics
Serial Year
2005
Journal title
European Journal of Combinatorics
Record number
1548815
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