Skip to main content


Weitere Artikel dieser Ausgabe durch Wischen aufrufen

14.09.2018 | Ausgabe 7/2019

Designs, Codes and Cryptography 7/2019

On existence theorems for simple t-designs

Designs, Codes and Cryptography > Ausgabe 7/2019
Tran van Trung
Wichtige Hinweise
Communicated by L. Teirlinck.

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.


The paper concerns a study of our previous general construction for simple t-designs, called the basic construction, with the goal to establish existence theorems for t-designs. As a general framework the basic construction involves a great deal of possibilities of combining ingredient designs, and thus computations are necessary for constructing designs by this method. The work shows the results of an investigation finding specified conditions under which the required computations can be avoidable. They thus lead to existence theorems for simple t-designs and many of them have been found. Also a large number of examples are included to illustrate the results.

Bitte loggen Sie sich ein, um Zugang zu diesem Inhalt zu erhalten

Über diesen Artikel

Weitere Artikel der Ausgabe 7/2019

Designs, Codes and Cryptography 7/2019 Zur Ausgabe

Premium Partner