Designs, Codes and Cryptography

, Volume 76, Issue 2, pp 217–235 | Cite as

Theta functions and symmetric weight enumerators for codes over imaginary quadratic fields

Article
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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 \(p=5\).

Keywords

Imaginary field Theta functions Weight enumerators 

Mathematics Subject Classification

Primary 94B27 Secondary 14G50 11H71 
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Copyright information

© Springer Science+Business Media New York 2014

Authors and Affiliations

  1. 1.Department of Mathematics and StatisticsOakland UniversityRochesterUSA
  2. 2.Department of MathematicsWestern New England UniversitySpringfieldUSA

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