1. Additive skew G-codes over finite fields.
- Author
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Dougherty, S. T., Korban, Adrian, Şahinkaya, Serap, and Ustun, Deniz
- Subjects
- *
QUANTUM error correcting codes , *ERROR-correcting codes , *BINARY codes , *FINITE fields - Abstract
We define additive skew G-codes over finite fields and discuss several dualities attached to these codes. We examine the properties of self-dual skew G-codes and in particular we show that the dual, under any duality, of an additive skew G-code is also an additive skew G-code. Additionally, we propose a matrix construction for additive skew G-codes and use it to construct several examples of extremal self-dual additive skew G-codes over the finite field F 4 . Such codes have a strong connection to quantum error correcting codes. [ABSTRACT FROM AUTHOR]
- Published
- 2023
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