307 KB19 KB134 KB2 KB200820252023Caggegi, Andreaštevilka:2letnik:23P2.07 (7 str.)DOI:10.26493/1855-3974.2707.29cCOBISSID_HOST:151636227ISSN:1855-3966URN:URN:NBN:SI:doc-5NMXAQQUenUniverza na Primorskem, Fakulteta za matematiko, naravoslovje in informacijske tehnologijeArs mathematica contemporaneaadditive designsaditivni dizajniblock designsblok dizajniA new family of additive designs|In this paper we construct a family of ?$2$?-?$(q^n,sp^2,\lambda)$? additive designs ?$\mathcal{D}=(\mathcal{P},\mathcal{B})$?, where ?$q$? is a power of a prime ?$p$? and ?$\mathcal{P}$? is an ?$n$?-dimensional vector space over ?$\mathrm{GF}(q)$?, and we compute their parameters explicitly. These designs, except for some special cases, had not been considered in the previous literature on additive block designsV članku konstruiramo družino ?$2$?-?$(q^n,sp^2,\lambda)$? aditivnih dizajnov ?$\mathcal{D}=(\mathcal{P},\mathcal{B})$?, kjer je ?$q$? potenca praštevila ?$p$? in ?$\mathcal{P}$? ?$n$?-dimenzionalen vektorski prostor nad ?$\mathrm{GF}(q)$?, in natančno izračunamo njihove parametre. Ti dizajni, razen v nekaj posebnih primerih, niso bili obravnavani v dosedanji literaturi o aditivnih blok dizajnihTEXTznanstveno časopisjejournalsSlovenian National E-content AggregatorNational and University Library of SloveniaUniverza na Primorskem, Fakulteta za naravoslovje, matematiko in informacijske tehnologije