The first example of a simple 2−(81,6,2) design

Abstract

We give the very first example of a simple 2−(81,6,2)design. Its points are the elements of the elementary abelian group of order 81 and each block is the union of two parallel lines of the 4-dimensional geometry over the field of order 3. Hence it is also additive.

Keywords

• Simple design
• Additive design
• Automorphism group
• Group action