Title

Cyclic quasi-symmetric designs and self-orthogonal codes of length 63☆

Authors

Chekad Sarami, Fayetteville State University
Vladimir Tonchev, Michigan Technological UniversityFollow

Document Type

Article

Publication Date

1-2008

Abstract

The enumeration of binary cyclic self-orthogonal codes of length 63 is used to prove that any cyclic quasi-symmetric 2-(63, 15, 35) design with block intersection numbers x=3 and y=7 is isomorphic to the geometric design having as blocks the three-dimensional subspaces in PG(5, 2).

Publisher's Statement

Copyright © 2007 Elsevier B.V. All rights reserved. Publisher’s version of record: https://doi.org/10.1016/j.jspi.2007.05.022

Publication Title

Journal of Statistical Planning and Inference

Recommended Citation

Sarami, C., & Tonchev, V. (2008). Cyclic quasi-symmetric designs and self-orthogonal codes of length 63☆. Journal of Statistical Planning and Inference, 138(1), 80-85. http://doi.org/10.1016/j.jspi.2007.05.022
Retrieved from: https://digitalcommons.mtu.edu/math-fp/109