A complex projective 
-design is a finite collection of points
in complex projective space whose equal-weight
averages agree with the invariant uniform average for polynomials
homogeneous of degree 
in unit-vector coordinates and of degree 
in their complex conjugates.
The coordinates are taken on the unit sphere, and
the equal bidegrees make the value independent of the phase chosen for each unit
representative (Delchev and Yordanov 2026).
Delchev and Yordanov (2026) used complex projective 3-designs in complex projective space of dimension 
to construct spherical
designs of strength 7 in 
with 
points from a design with 
points, for odd 
.
- and 
-Designs with Balanced Halves." 8 Oct 2026.