New Symmetric (61,16,4) Designs Invariant Under the Dihedral Group of Order 10
Serdica Mathematical Journal, Tome 24 (1998) no. 2, pp. 179-186
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In this note we construct five new symmetric 2-(61,16,4) designs
invariant under the dihedral group of order 10. As a by-product we
obtain 25 new residual 2-(45,12,4) designs. The automorphism groups of all
new designs are computed.
Keywords:
Symmetric Design, Residual Design, Automorphism Group of a Design, Self-Dual Code
@article{SMJ2_1998_24_2_a4,
author = {Landjev, Ivan and Topalova, Svetlana},
title = {New {Symmetric} (61,16,4) {Designs} {Invariant} {Under} the {Dihedral} {Group} of {Order} 10},
journal = {Serdica Mathematical Journal},
pages = {179--186},
publisher = {mathdoc},
volume = {24},
number = {2},
year = {1998},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SMJ2_1998_24_2_a4/}
}
TY - JOUR AU - Landjev, Ivan AU - Topalova, Svetlana TI - New Symmetric (61,16,4) Designs Invariant Under the Dihedral Group of Order 10 JO - Serdica Mathematical Journal PY - 1998 SP - 179 EP - 186 VL - 24 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/SMJ2_1998_24_2_a4/ LA - en ID - SMJ2_1998_24_2_a4 ER -
Landjev, Ivan; Topalova, Svetlana. New Symmetric (61,16,4) Designs Invariant Under the Dihedral Group of Order 10. Serdica Mathematical Journal, Tome 24 (1998) no. 2, pp. 179-186. http://geodesic.mathdoc.fr/item/SMJ2_1998_24_2_a4/