1. Weight enumerators of self-dual quantum codes
- Author
-
Chen, Yin and Ren, Shan
- Subjects
Computer Science - Information Theory ,94B50, 13A50 - Abstract
We use algebraic invariant theory to study three weight enumerators of self-dual quantum codes over finite fields. We show that the weight enumerators of self-dual quantum codes can be expressed algebraically by two polynomials and the double weight enumerators of self-dual quantum codes can be expressed algebraically by five polynomials. We also explicitly compute the complete weight enumerators of some special self-dual quantum codes. Our approach avoids applying the well-known Molien's formula and demonstrates the potential of employing invariant theory to compute weight enumerators of quantum codes., Comment: 17 pages
- Published
- 2024