New research reveals simple S3 designs for even ν, changing game.
A simple S3 design with parameters (3, 4, ν) exists for all even values of ν greater than 4. This was proven by showing that such designs exist when ν is even and not congruent to 4 modulo 12. The researchers provided a straightforward proof of the existence of these simple designs, which do not have repeated blocks, expanding our understanding of these mathematical structures.
