Skip to main content


Weitere Artikel dieser Ausgabe durch Wischen aufrufen

19.01.2016 | Ausgabe 3/2017

Designs, Codes and Cryptography 3/2017

A generalization of combinatorial designs and related codes

Designs, Codes and Cryptography > Ausgabe 3/2017
Jerod Michel, Baokun Ding
Wichtige Hinweise
Communicated by A. Pott.


In this paper we study a certain generalization of combinatorial designs related to almost difference sets, namely the t-adesign, which was coined by Ding (Codes from difference sets, 2015). It is clear that 2-adesigns are partially balanced incomplete block designs which naturally arise in many combinatorial and statistical problems. We discuss some of their basic properties and give several constructions of 2-adesigns (some of which correspond to new almost difference sets and some to new almost difference families), as well as two constructions of 3-adesigns. We discuss basic properties of the incidence matrices and make an initial investigation into the codes which they generate. We find that many of the codes have good parameters in the sense they are optimal or have relatively high minimum distance.

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

Über diesen Artikel

Weitere Artikel der Ausgabe 3/2017

Designs, Codes and Cryptography 3/2017 Zur Ausgabe

Premium Partner