Skip to main content
Disciplines
Automotive Business IT + Informatics Construction + Real Estate Electrical Engineering + Electronics Energy + Sustainability Insurance + Risk Finance + Banking Management + Leadership Marketing + Sales Mechanical Engineering + Materials
Events
DE
EN
Books
Journals
Topic Page
Marketing
Start single access now
Access for companies
EXTENDED SEARCH
Log in
Top
Published in:
On (−1, 1)-Matrices of Skew Type with the Maximal Determinant and Tournaments Read chapter Read first chapter

2015 | OriginalPaper | Chapter

On Symmetric Designs and Binary 3-Frameproof Codes

Authors : Chuan Guo, Douglas R. Stinson, Tran van Trung

Published in: Algebraic Design Theory and Hadamard Matrices

Publisher: Springer International Publishing

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

In this paper, we study when the incidence matrix of a symmetric (v, k, λ)-BIBD is a 3-frameproof code. We show the existence of infinite families of symmetric BIBDs that are 3-frameproof codes, as well as infinite families of symmetric BIBDs that are not 3-frameproof codes.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

inform now
previous chapter Signed Group Orthogonal Designs and Their Applications
next chapter An Algorithm for Constructing Hjelmslev Planes
Literature
1.
Assmus, Jr., E.F., van Lint, J.H.: Ovals in projective designs. J. Comb. Theory Ser. A 27, 307–324 (1979)CrossRefMATH
2.
3.
4.
Colbourn, C.J., Dinitz, J.H.: Handbook of Combinatorial Designs, 2nd edn. Chapman & Hall/CRC, Boca Raton (2006)CrossRef
5.
Colbourn, C.J., Kéri, G.: Binary covering arrays and existentially closed graphs. Lect. Notes Comput. Sci. 5557, 22–33 (2009) (IWCC 2009 Proceedings)
6.
Crnković, D., Pavc̆ević, M.-O.: Some new symmetric designs with parameters (64, 28, 12). Discret. Math. 237, 109–118 (2001)
7.
Denniston, R.H.F.: Enumeration of symmetric designs (25,9,3). Ann. Discret. Math. 15, 111–127 (1982)MathSciNetMATH
8.
9.
Guo, C., Stinson, D.R., van Trung, T.: On tight bounds for binary frameproof codes. Des. Codes Crypt. (to appear)
10.
11.
Kimura, H.: Classification of Hadamard matrices of order 28. Discret. Math. 133, 171–180 (1994)CrossRefMATH
12.
13.
Stinson, D.R., Wei, R.: Combinatorial properties and constructions of traceability schemes and frameproof codes. SIAM J. Discret. Math. 11, 41–53 (1998)MathSciNetCrossRefMATH
14.
Stinson, D.R., van Trung, T., Wei, R.: Secure frameproof codes, key distribution patterns, group testing algorithms and related structures. J. Stat. Plann. Inference 86, 595–617 (2000)CrossRefMATH
15.
van Trung, T.: Maximal arcs and related designs. J. Comb. Theory Ser. A 57, 294–301 (1991)CrossRefMATH
Metadata
Title
On Symmetric Designs and Binary 3-Frameproof Codes
Authors
Chuan Guo
Douglas R. Stinson
Tran van Trung
Copyright Year
2015
Book
Algebraic Design Theory and Hadamard Matrices

Print ISBN: 978-3-319-17728-1

Electronic ISBN: 978-3-319-17729-8

Copyright Year: 2015

DOI
https://doi.org/10.1007/978-3-319-17729-8_10

Premium Partner

    Image Credits