Theta Functions and Symmetric Weight Enumerators for Codes Over Imaginary Quadratic Fields
College
College of Arts and Sciences
Department
Mathematics
Publication Date
3-1-2014
Abstract
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.
Recommended Citation
Shaska, Tony and Shor, Caleb, "Theta Functions and Symmetric Weight Enumerators for Codes Over Imaginary Quadratic Fields" (2014). Faculty Publications - College of Arts and Sciences. 20.
https://digitalcommons.law.wne.edu/casfacpubs/20
Original Citation
Shaska, T., Shor, C. Theta functions and symmetric weight enumerators for codes over imaginary quadratic fields. Des. Codes Cryptogr. 76, 217–235 (2015). https://doi.org/10.1007/s10623-014-9943-7
