Üstün, DenizŞahinkaya, SerapDougherty, S. T.2024-07-302024-07-302024Dougherty, S.T., Şahinkaya, S. ve Ustun, D. (2024). On additive codes with one-rank hulls. AAECC. Erişim adresi: https://doi.org/10.1007/s00200-024-00663-50938-12791432-0622https://link.springer.com/article/10.1007/s00200-024-00663-5#citeashttps://hdl.handle.net/20.500.13099/296We 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.eninfo:eu-repo/semantics/restrictedAccessAdditive codesHull of a codeDualityLinear CodesPermutationArticle10.1007/s00200-024-00663-5116Q1WOS:0012617563000022-s2.0-85196731004Q1