Quasi-Self-Dual Codes over a Non-Unital Ring of Order 4
[ X ]
Tarih
2023
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
American Mathematical Society
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
We relate quasi-self-dual codes over a non-unital ring to additive self-dual codes over the additive group of the ring. We show that the Hamming weight enumerator of a quasi-self-dual code over this non-unital ring must belong to the same ring of invariants that self-dual codes over the Frobenius rings with unities belong. Additionally, the Hamming weight enumerator of a Type IV code over E must reside in the same ring of invariants as a Type IV code over the field of order 4. © 2023 American Mathematical Society.
Açıklama
Virtual Conference in Honor of Tariq Rizvi Noncommutative Rings and their Application VII, NCRA 2021, and Virtual Conference on Quadratic forms, rings and codes, QFRC 2021 -- 8 July 2021 through 8 July 2021 -- Virtual, Online -- 295109
Anahtar Kelimeler
Code, group, orthogonality, ring
Kaynak
Contemporary Mathematics
WoS Q Değeri
Scopus Q Değeri
Q3
Cilt
785
