# Orthogonal Resolutions and Latin Squares

Topalova, Svetlana; Zhelezova, Stela

Serdica Journal of Computing (2013)

- Volume: 7, Issue: 1, page 13-24
- ISSN: 1312-6555

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topTopalova, Svetlana, and Zhelezova, Stela. "Orthogonal Resolutions and Latin Squares." Serdica Journal of Computing 7.1 (2013): 13-24. <http://eudml.org/doc/252266>.

@article{Topalova2013,

abstract = {Resolutions which are orthogonal to at least one other resolution (RORs) and sets of m mutually orthogonal resolutions (m-MORs) of 2-(v, k, λ) designs are considered. A dependence of the number of nonisomorphic RORs and m-MORs of multiple designs on the number of inequivalent sets of v/k − 1 mutually orthogonal latin squares (MOLS) of size m is obtained. ACM Computing Classification System (1998): G.2.1.∗ This work was partially supported by the Bulgarian National Science Fund under Contract
No I01/0003.},

author = {Topalova, Svetlana, Zhelezova, Stela},

journal = {Serdica Journal of Computing},

keywords = {Combinatorial Design; Orthogonal Resolution; Latin Square; combinatorial design; orthogonal resolution; Latin square},

language = {eng},

number = {1},

pages = {13-24},

publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},

title = {Orthogonal Resolutions and Latin Squares},

url = {http://eudml.org/doc/252266},

volume = {7},

year = {2013},

}

TY - JOUR

AU - Topalova, Svetlana

AU - Zhelezova, Stela

TI - Orthogonal Resolutions and Latin Squares

JO - Serdica Journal of Computing

PY - 2013

PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences

VL - 7

IS - 1

SP - 13

EP - 24

AB - Resolutions which are orthogonal to at least one other resolution (RORs) and sets of m mutually orthogonal resolutions (m-MORs) of 2-(v, k, λ) designs are considered. A dependence of the number of nonisomorphic RORs and m-MORs of multiple designs on the number of inequivalent sets of v/k − 1 mutually orthogonal latin squares (MOLS) of size m is obtained. ACM Computing Classification System (1998): G.2.1.∗ This work was partially supported by the Bulgarian National Science Fund under Contract
No I01/0003.

LA - eng

KW - Combinatorial Design; Orthogonal Resolution; Latin Square; combinatorial design; orthogonal resolution; Latin square

UR - http://eudml.org/doc/252266

ER -

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