Abstract
We present constructions and results about GDDs with two groups and block size six. We study those GDDs in which each block has configuration ( s , t ) , that is in which each block has exactly s points from one of the two groups and t points from the other. We show the necessary conditions are sufficient for the existence of GDD ( n , 2 , 6 ; λ 1 , λ 2 ) s with fixed block configuration ( 3 , 3 ) . For configuration ( 1 , 5 ) , we give minimal or near-minimal index examples for all group sizes n ≥ 5 except n = 10 , 15 , 160 , or 190 . For configuration ( 2 , 4 ) , we provide constructions for several families of GDD ( n , 2 , 6 ; λ 1 , λ 2 ) s.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
