Orthogonal Resolutions and Latin Squares

Topalova, 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 -