Additive skew G-codes over finite fields
[ X ]
Tarih
2023
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer Link
Erişim Hakkı
info:eu-repo/semantics/restrictedAccess
Özet
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 F4. Such codes have a strong connection to quantum error correcting codes.
Açıklama
Anahtar Kelimeler
Additive codes, Self-dual codes, Skew codes, Quantum noise, Additive code, Extremal, Finite fields, G codes, matrix, Property, Quantum error correcting codes, Self-dual, Self-dual codes, Skew code
Kaynak
Applicable Algebra in Engineering, Communications and Computing
WoS Q Değeri
Q4
Scopus Q Değeri
Cilt
34
Sayı
3
Künye
Dougherty S.T., Korban A., Şahinkaya S., Ustun D.(2023). Additive skew G-codes over finite fields. Applicable Algebra in Engineering, Communications and Computing, 34 (3), 423 - 442.
DOI: 10.1007/s00200-021-00515-6
