The preparata codes and a class of 4‐designs

Authors

Alphonse Baartmans, Michigan Technological UniversityFollow
Iliya Bluskov, University of Victoria
Vladimir Tonchev, Michigan Technological UniversityFollow

Document Type

Article

Publication Date

1994

Abstract

An extension theorem for t‐designs is proved. As an application, a class of 4‐(4^m + 1,5,2) designs is constructed by extending designs related to the 3‐designs formed by the minimum weight vectors in the Preparata code of length n = 4^m, m ≥ 2.

Publisher's Statement

© 1994 John Wiley & Sons, Inc. Publisher’s version of record: https://doi.org/10.1002/jcd.3180020307

Publication Title

Journal of Combinatorial Designs

Recommended Citation

Baartmans, A., Bluskov, I., & Tonchev, V. (1994). The preparata codes and a class of 4‐designs. Journal of Combinatorial Designs, 2(3), 167-170. http://doi.org/10.1002/jcd.3180020307
Retrieved from: https://digitalcommons.mtu.edu/math-fp/163