Hermitian Unital
If b is a square with b = q2, a unital is a set of q3 + 1 points in the projective plane PG(2, q2), such that its intersection with any line contains either 1 or q + 1 points.
The Hermitian or classical unital consists of all points (X : Y : Z) ∈ PG(2, q2) with
Xq+1 + Yq+1 + Zq+1 = 0.
These points form the generator matrix of a projective [q3 +1, 3,(q2 − 1)q]-code over Fq2.
Copyright
Copyright © 2004, 2005, 2006, 2007, 2008, 2009, 2010 by Rudolf Schürer and Wolfgang Ch. Schmid.
Cite this as: Rudolf Schürer and Wolfgang Ch. Schmid. “Hermitian Unital.”
From MinT—the database of optimal net, code, OA, and OOA parameters.
Version: 2024-09-05.
http://mint.sbg.ac.at/desc_CUnital.html