The Joint Weight Enumerators and Siegel Modular Forms
نویسندگان
چکیده
The weight enumerator of a binary doubly even self-dual code is an isobaric polynomial in the two generators of the ring of invariants of a certain group of order 192. The aim of this note is to study the ring of coefficients of that polynomial, both for standard and joint weight enumerators.
منابع مشابه
Codes over F4, Jacobi forms and Hilbert-Siegel modular forms over Q(sqrt(5))
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. © 2004 Elsevier Ltd. All rights reserved.
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تاریخ انتشار 2006