There Exist Steiner Systems S(2,8,225) and S(2,9,289)

Key Points

• To demonstrate the existence of specific Steiner systems that were previously undecided cases for block designs.
• Presentation of six Steiner systems
• Introduction of four Steiner systems
• Analysis based on combinatorial designs
• Resolution of two out of 129 undecided cases for block length 8 and 9
• Contribution to the field of combinatorial designs and block structures