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Codes over Z2m and Jacobi Forms of Genus n

✍ Scribed by YoungJu Choie; Haesuk Kim

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
161 KB
Volume
95
Category
Article
ISSN
0097-3165

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✦ Synopsis

The relations between the complete weight enumerators in genus n of Type II codes over Z 2m and Jacobi forms of genus n have been discussed. One derives a map between the invariant spaces of the groups G 2m, n (or H 2m, n , respectively) and the rings of Jacobi forms (or Siegel modular forms, repectively) of genus n. The MacWilliams identities of the complete weight enumerators in genus n of Type II codes over Z 2m imply that the complete weight enumerators in genus n of Type II codes over Z 2m is in the invariant space of the groups G 2m, n .

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