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Additive skew G-codes over finite fields.
- Source :
-
Applicable Algebra in Engineering, Communication & Computing . May2023, Vol. 34 Issue 3, p423-442. 20p. - Publication Year :
- 2023
-
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]
Details
- Language :
- English
- ISSN :
- 09381279
- Volume :
- 34
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Applicable Algebra in Engineering, Communication & Computing
- Publication Type :
- Academic Journal
- Accession number :
- 163166522
- Full Text :
- https://doi.org/10.1007/s00200-021-00515-6