DocumentCode :
1192639
Title :
Complete joint weight enumerators and self-dual codes
Author :
Choie, YoungJu ; Dougherty, Steven T. ; Kim, Haesuk
Author_Institution :
Dept. of Math., Pohang Univ. of Sci. & Technol., South Korea
Volume :
49
Issue :
5
fYear :
2003
fDate :
5/1/2003 12:00:00 AM
Firstpage :
1275
Lastpage :
1282
Abstract :
We define the complete joint weight enumerator in genus g for codes over Z2k and use it to study self-dual codes and their shadows. These weight enumerators are related to the theta series of the associated lattices and Siegel and Jacobi forms are formed from these series.
Keywords :
dual codes; lattice theory; Jacobi and Siegel forms; complete joint weight enumerators; lattices; self-dual codes; shadows; theta series; unimodular lattices; Code standards; Equations; Hamming weight; Jacobian matrices; Labeling; Lattices; Linear code; Mathematics; Vectors;
fLanguage :
English
Journal_Title :
Information Theory, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9448
Type :
jour
DOI :
10.1109/TIT.2003.810649
Filename :
1197854
Link To Document :
https://search.ricest.ac.ir/dl/search/defaultta.aspx?DTC=49&DC=1192639
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