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Designs Codes and Cryptography
Article . 2007 . Peer-reviewed
License: Springer TDM
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https://dx.doi.org/10.48550/ar...
Article . 2013
License: arXiv Non-Exclusive Distribution
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Divisible designs from twisted dual numbers

Authors: A. BLUNCK; H. HAVLICEK H; ZANELLA, CORRADO;

Divisible designs from twisted dual numbers

Abstract

The generalized chain geometry over the local ring $K(ε;σ)$ of twisted dual numbers, where $K$ is a finite field, is interpreted as a divisible design obtained from an imprimitive group action. Its combinatorial properties as well as a geometric model in 4-space are investigated.

Related Organizations
Keywords

Rings and Algebras (math.RA), FOS: Mathematics, Mathematics - Combinatorics, Mathematics - Rings and Algebras, Combinatorics (math.CO), 51E05, 51B15, 51E20, 51E25, 51A45, Divisible design; Chain geometry; Local ring; Twisted dual numbers; Geometric model

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
Average
Average
Green
bronze