New Symmetric (61,16,4) Designs Invariant Under the Dihedral Group of Order 10

Landjev, Ivan; Topalova, Svetlana

Serdica Mathematical Journal (1998)

  • Volume: 24, Issue: 2, page 179-186
  • ISSN: 1310-6600

Abstract

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∗ This work has been partially supported by the Bulgarian NSF under Contract No. I-506/1995.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.

How to cite

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Landjev, Ivan, and Topalova, Svetlana. "New Symmetric (61,16,4) Designs Invariant Under the Dihedral Group of Order 10." Serdica Mathematical Journal 24.2 (1998): 179-186. <http://eudml.org/doc/11588>.

@article{Landjev1998,
abstract = {∗ This work has been partially supported by the Bulgarian NSF under Contract No. I-506/1995.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.},
author = {Landjev, Ivan, Topalova, Svetlana},
journal = {Serdica Mathematical Journal},
keywords = {Symmetric Design; Residual Design; Automorphism Group of a Design; Self-Dual Code; symmetric designs; automorphism groups},
language = {eng},
number = {2},
pages = {179-186},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {New Symmetric (61,16,4) Designs Invariant Under the Dihedral Group of Order 10},
url = {http://eudml.org/doc/11588},
volume = {24},
year = {1998},
}

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
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 24
IS - 2
SP - 179
EP - 186
AB - ∗ This work has been partially supported by the Bulgarian NSF under Contract No. I-506/1995.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.
LA - eng
KW - Symmetric Design; Residual Design; Automorphism Group of a Design; Self-Dual Code; symmetric designs; automorphism groups
UR - http://eudml.org/doc/11588
ER -

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