On additive self-dual codes over GF(4) and their applications
Küçük Resim Yok
Tarih
2009
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Maltepe Üniversitesi
Erişim Hakkı
CC0 1.0 Universal
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
Özet
After the publication [1], additive self-orthogonal codes over GF(4) under a trace inner product became of interest because of their correspondence to additive (or stabilizer) quantum error-correcting codes. Several papers were devoted to classifying or constructing additive self-dual codes over GF(4). It was shown [2] that certain vectors in some additive self-dual codes over GF(4) hold generalized t-designs as well as classical t-designs with possibly repeated blocks. Also, every additive self-dual code over GF(4) can be uniquely represented as an undirected graph, and conversely. These facts motivate the construction of additive self-dual codes over GF(4). In this work we consider some constructive algorithms for additive self-dual codes over GF(4). We use these algorithms to construct new codes. Also, we describe the relations between this class of codes and other combinatorial structures.
Açıklama
Anahtar Kelimeler
Additive self-dual codes, Block designs, Quantum codes, Constructive algorithms
Kaynak
International Conference of Mathematical Sciences
WoS Q Değeri
Scopus Q Değeri
Cilt
Sayı
Künye
Varbanov, Z. (2009). On additive self-dual codes over GF(4) and their applications. Maltepe Üniversitesi. s. 406.
