Ring-Valued Assignments to the Points of a t-Design

Authors:
Luis Martínez;Antonio Vera-López
Affiliations:
Department of Mathematics, University of the Basque Country, 48080, Bilbao, Spain mtpmafel@lg.ehu.es;Department of Mathematics, University of the Basque Country, 48080, Bilbao, Spain mtpveloa@lg.ehu.es
Venue:
Designs, Codes and Cryptography
Year:
2002

Citing 7
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Abstract

We introduce the method of assigning values in a ring to the points of a t-design. We give the notion of an [A, t]-design. We give a generalization of the concept of association scheme, and obtain a method to construct some of them from t-designs that generalizes the well-known construction for the case of ordinary association schemes.