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