The existence of symmetric block designs with parameters (41, 16, 6) and (66, 26, 10)

AbstractIn [1, 2] it is indicated that the existence of block designs with parameters (41, 16, 6) and (66, 26, 10) is still unknown. The purpose of this paper is to prove the existence of block designs with these parameters. The idea for the construction of these block designs is to assume that they admit certain automorphism group