We introduce an equivalence relation between difference families which declare two difference families to be similar if one can be obtained from the other by changing the signs of some base blocks. By means of an algorithm, written in PHP language and published at http://www.designtheory.it/tni, we investigate the problem of establishing how many non-isomorphic difference families are contained in a given similarity class.

New designs by changing... the signs / Brugnoli, Emanuele; Buratti, Marco. - In: ELECTRONIC NOTES IN DISCRETE MATHEMATICS. - ISSN 1571-0653. - 40:(2013), pp. 49-52. [10.1016/j.endm.2013.05.010]

New designs by changing... the signs

BURATTI, Marco
2013

Abstract

We introduce an equivalence relation between difference families which declare two difference families to be similar if one can be obtained from the other by changing the signs of some base blocks. By means of an algorithm, written in PHP language and published at http://www.designtheory.it/tni, we investigate the problem of establishing how many non-isomorphic difference families are contained in a given similarity class.
2013
Cyclic design; Difference family; Isomorphism invariant
01 Pubblicazione su rivista::01a Articolo in rivista
New designs by changing... the signs / Brugnoli, Emanuele; Buratti, Marco. - In: ELECTRONIC NOTES IN DISCRETE MATHEMATICS. - ISSN 1571-0653. - 40:(2013), pp. 49-52. [10.1016/j.endm.2013.05.010]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1654639
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