Geodesic
A Method for Classification of Doubly Resolvable Designs and Its Application
Serdica Journal of Computing, Tome 5 (2011) no. 3, pp. 273-308.

Voir la notice de l'article provenant de la source Bulgarian Digital Mathematics Library

The resolvability of combinatorial designs is intensively investigated because of its applications. This research focuses on resolvable designs with an additional property - they have resolutions which are mutually orthogonal. Such designs are called doubly resolvable. Their specific properties can be used in statistical and cryptographic applications.Therefore the classification of doubly resolvable designs and their sets of mutually orthogonal resolutions might be very important. We develop a method for classification of doubly resolvable designs. Using this method and extending it with some theoretical restrictions we succeed in obtaining a classification of doubly resolvable designs with small parameters. Also we classify 1-parallelisms and 2-parallelisms of PG(5,2) with automorphisms of order 31 and find the first known transitive 2-parallelisms among them. The content of the paper comprises the essentials of the author’s Ph.D. thesis.
Keywords: Classification, Resolvable Design, Orthogonal Resolution, T-parallelism 
@article{SJC_2011_5_3_a4,
     author = {Zhelezova, Stela},
     title = {A {Method} for {Classification} of {Doubly} {Resolvable} {Designs} and {Its} {Application}},
     journal = {Serdica Journal of Computing},
     pages = {273--308},
     publisher = {mathdoc},
     volume = {5},
     number = {3},
     year = {2011},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SJC_2011_5_3_a4/}
}
TY  - JOUR
AU  - Zhelezova, Stela
TI  - A Method for Classification of Doubly Resolvable Designs and Its Application
JO  - Serdica Journal of Computing
PY  - 2011
SP  - 273
EP  - 308
VL  - 5
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SJC_2011_5_3_a4/
LA  - en
ID  - SJC_2011_5_3_a4
ER  - 
%0 Journal Article
%A Zhelezova, Stela
%T A Method for Classification of Doubly Resolvable Designs and Its Application
%J Serdica Journal of Computing
%D 2011
%P 273-308
%V 5
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SJC_2011_5_3_a4/
%G en
%F SJC_2011_5_3_a4
Zhelezova, Stela. A Method for Classification of Doubly Resolvable Designs and Its Application. Serdica Journal of Computing, Tome 5 (2011) no. 3, pp. 273-308. http://geodesic.mathdoc.fr/item/SJC_2011_5_3_a4/