@article{Kim2022, 
author = {Boran Kim and Chang Heon Kim and Soonhak Kwon and Yeong-Wook Kwon},
title = {Jacobi forms over number fields from linear codes},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {5},
pages = {8235-8249},
keywords = {Jacobi form, Frobenius ring, linear code, self-dual code, invariant},
url = {https://www.sciopen.com/article/10.3934/math.2022459},
doi = {10.3934/math.2022459},
abstract = {We suggest a Jacobi form over a number field        Q    (      5    ,  i  ); for obtaining this, we use a linear code    C over    R  :=            F        4    +  u            F        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.}
}