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Designs, Codes and Cryptography

Erschienen in:

05.08.2017

A framework for constructing partial geometric difference sets

verfasst von: James A. Davis, Oktay Olmez

Erschienen in: Designs, Codes and Cryptography | Ausgabe 6/2018

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Abstract

Partial geometric difference sets (PGDSs) were defined in Olmez (J Combin Des 22(6):252–269, 2014). They are used to construct partial geometric designs. We use the framework of extended building sets to find infinite families of PGDSs in abelian groups. Included in our new families of PGDSs are generalizations of the Hadamard, McFarland, Spence, Davis-Jedwab, and Chen difference sets.

Vorheriger Artikel Leakage-resilient attribute based encryption in prime-order groups via predicate encodings

A point-block pair (x, B) is called a flag if \(x\in B\); otherwise, it is called an antiflag.

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Titel: A framework for constructing partial geometric difference sets
verfasst von: James A. Davis
Oktay Olmez
Publikationsdatum: 05.08.2017
Verlag: Springer US
Erschienen in: Designs, Codes and Cryptography / Ausgabe 6/2018
Print ISSN: 0925-1022
Elektronische ISSN: 1573-7586
DOI: https://doi.org/10.1007/s10623-017-0400-2

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