I‑AIMS Institute for Artificial Intelligence
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Theta functions and symmetric weight enumerators for codes over imaginary quadratic fields

Tanush Shaska, Caleb Shor

I-AIMS paper 2013-2 · Published in Des. Codes Cryptogr. 76 (2015), 217–235 · 2015

In this paper we continue the study of codes over imaginary quadratic fields and their weight enumerators and theta functions. We present new examples of non-equivalent codes over rings of characteristic p = 2 and p = 5 which have the same theta functions. We also look at a generalization of codes over imaginary quadratic fields, providing examples of non-equivalent pairs with the same theta function for p = 3 and p = 5.

MSC classes: Primary 94B27; Secondary 14G50, 11H71

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