Computational results for the known biplanes of order 9

Authors

J. D. Key
Vladimir Tonchev, Michigan Technological UniversityFollow

Document Type

Article

Publication Date

1997

Abstract

The ternary codes associated with the five known biplanes of order 9 were examined using the computer language Magma. The computations showed that each biplane is the only one to be found among the weight-11 vectors of its ternary code, and that none of the biplanes can be extended to a 3-(57,12,2) design. The residual designs of the biplanes, and designs associated with {12; 3}-arcs were also examined.

Publisher's Statement

Copyright Cambridge University Press 1997. Publisher’s version of record: https://doi.org/10.1017/CBO9780511526114.011

Publication Title

Geometry, Combinatorial Designs and Related Structures

Recommended Citation

Key, J. D., & Tonchev, V. (1997). Computational results for the known biplanes of order 9. Geometry, Combinatorial Designs and Related Structures, 113-122. http://doi.org/10.1017/CBO9780511526114.011
Retrieved from: https://digitalcommons.mtu.edu/math-fp/152