A Class of 2-(3n7, 3n−1 7, (3n−1 7−1)/2) Designs

Authors

Vladimir Tonchev, Michigan Technological UniversityFollow

Document Type

Article

Publication Date

10-23-2006

Abstract

Generalized Hadamard matrices are used for the construction of a class of quasi‐residual nonresolvable BIBD's with parameters . The designs are not embeddable as residual designs into symmetric designs if n is even. The construction yields many nonisomorphic designs for every given n ≥ 2, including more than 10¹⁷ nonisomorphic 2‐(63,21,10) designs.

Publisher's Statement

© 2006 Wiley Periodicals, Inc. Publisher’s version of record: https://doi.org/10.1002/jcd.20133

Publication Title

Journal of Combinatorial Designs

Recommended Citation

Tonchev, V. (2006). A Class of 2-(3n7, 3n−1 7, (3n−1 7−1)/2) Designs. Journal of Combinatorial Designs, 15(6), 460-464. http://doi.org/10.1002/jcd.20133
Retrieved from: https://digitalcommons.mtu.edu/math-fp/112