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Some symmetric (47,23,11) designs

Dean Crnković
Sanja Rukavina

Puni tekst: engleski, pdf (257 KB) str. 1-9 preuzimanja: 57* citiraj
APA 6th Edition
Crnković, D. i Rukavina, S. (2003). Some symmetric (47,23,11) designs. Glasnik matematički, 38 (1), 1-9. Preuzeto s https://hrcak.srce.hr/1330
MLA 8th Edition
Crnković, Dean i Sanja Rukavina. "Some symmetric (47,23,11) designs." Glasnik matematički, vol. 38, br. 1, 2003, str. 1-9. https://hrcak.srce.hr/1330. Citirano 26.10.2021.
Chicago 17th Edition
Crnković, Dean i Sanja Rukavina. "Some symmetric (47,23,11) designs." Glasnik matematički 38, br. 1 (2003): 1-9. https://hrcak.srce.hr/1330
Harvard
Crnković, D., i Rukavina, S. (2003). 'Some symmetric (47,23,11) designs', Glasnik matematički, 38(1), str. 1-9. Preuzeto s: https://hrcak.srce.hr/1330 (Datum pristupa: 26.10.2021.)
Vancouver
Crnković D, Rukavina S. Some symmetric (47,23,11) designs. Glasnik matematički [Internet]. 2003 [pristupljeno 26.10.2021.];38(1):1-9. Dostupno na: https://hrcak.srce.hr/1330
IEEE
D. Crnković i S. Rukavina, "Some symmetric (47,23,11) designs", Glasnik matematički, vol.38, br. 1, str. 1-9, 2003. [Online]. Dostupno na: https://hrcak.srce.hr/1330. [Citirano: 26.10.2021.]

Sažetak
Up to isomorphism there are precisely fifty-four symmetric designs with parameters (47,23,11) admitting a faithful action of a Frobenius group of order 55. From these fifty-four designs one can construct 179 pairwise nonisomorphic 2-(23,11,10) designs as derived and 191 pairwise nonisomorphic 2-(24,12,11) designs as residual designs. We have determined full automorphism groups of all constructed designs. One of 2-(24,12,11) designs has full automorphism group of order 15840, isomorphic to the group M11 × 2, acting transitively on the set of points.

Ključne riječi
Symmetric design; Hadamard design; orbit structure; automorphism group; Mathieu group

Hrčak ID: 1330

URI
https://hrcak.srce.hr/1330

Posjeta: 249 *