In this paper we continue the study of codes over imaginary quadratic fieldsand their weight enumerators and theta functions. We present new examples ofnon-equivalent codes over rings of characteristic $p=2$ and $p=5$ which havethe same theta functions. We also look at a generalization of codes overimaginary quadratic fields, providing examples of non-equivalent pairs with thesame theta function for $p=3$ and $p=5$.
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机译:在本文中,我们继续研究虚二次域上的代码及其权重枚举和theta函数。我们给出了具有相同θ功能的特征$ p = 2 $和$ p = 5 $的环上非等价代码的新示例。我们还研究了虚二次域上的代码的一般化,提供了具有相同theta函数的$ p = 3 $和$ p = 5 $的非等价对的示例。
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