On additive codes with one-rank hulls
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Tarih
2024
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer Link
Erişim Hakkı
info:eu-repo/semantics/restrictedAccess
Özet
We study additive codes with 1-rank hulls and examine their properties for various dualities of the finite field of order 4. We give several constructions of additive and linear codes with 1-rank hulls. We also relate these codes to additive complementary dual codes (ACD). We give an interesting non-existence result for additive codes with a 1-rank hull for the duality M2 in terms of the parity of the number of generators. We conclude by giving substantive computations finding codes with one-rank hulls for small lengths using our results.
Açıklama
Anahtar Kelimeler
Additive codes, Hull of a code, Duality, Linear Codes, Permutation
Kaynak
Applicable Algebra in Engineering, Communication and Computing
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
Sayı
Künye
Dougherty, S.T., Şahinkaya, S. ve Ustun, D. (2024). On additive codes with one-rank hulls. AAECC. Erişim adresi: https://doi.org/10.1007/s00200-024-00663-5
