Complete joint weight enumerators and self-dual codes
Copyright policy )Complete joint weight enumerators and self-dual codes
Summary: We define the complete joint weight enumerator in genus \(g\) for codes over \(\mathbb Z_{2k}\) 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.
- University of Scranton United States
- Pohang University of Science and Technology Korea (Republic of)
unimodular lattices, JACOBI FORMS, Z(2M), Jacobi and Siegel forms, Algebraic coding theory; cryptography (number-theoretic aspects), FINITE RINGS, Relations with coding theory, II CODES, self-dual codes, EVEN UNIMODULAR LATTICES, Linear codes (general theory)
unimodular lattices, JACOBI FORMS, Z(2M), Jacobi and Siegel forms, Algebraic coding theory; cryptography (number-theoretic aspects), FINITE RINGS, Relations with coding theory, II CODES, self-dual codes, EVEN UNIMODULAR LATTICES, Linear codes (general theory)
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