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Jacobi forms over number fields from linear codes
- Author(s)
- Kim, Boran, Kim, Chang Heon, Kwon, Soonhak, Kwon, Yeong-Wook
- Issued Date
- 2022-02
- Citation
- AIMS MATHEMATICS, v.7, no.5, pp.8235 - 8249
- Abstract
- We suggest a Jacobi form over a number field Q(root 5, i); for obtaining this, we use a linear code C over R := F-4 + uF(4), where u(2) = 0. We introduce MacWilliams identities for both complete weight enumerator and symmetrized weight enumerator in higher genus g >= 1 of a linear code over R. Finally, we give invariants via a self-dual code of even length over R.
- Publisher
- AMER INST MATHEMATICAL SCIENCES-AIMS
- ISSN
- 2473-6988
- Keyword (Author)
- Jacobi form, Frobenius ring, linear code, self-dual code, invariant
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