A complete classification of 3‐(11, 4, 4) designs with nontrivial automorphism group

In this paper, we classify all simple 3-(11, 4, 4) designs with nontrivial automorphism group. A computational method based on the standard basis of trades is developed and a total of 51,267,240 nonisomorphic designs is produced. © 2000 John Wiley & Sons, Inc. J Combin Designs 8: 419–425, 2000