2024/03/22 by Kamio, Yuhi
#05B30 #Combinatorics (math.CO) #FOS: Mathematics
paper · doi:10.48550/arxiv.2403.15514
We have identified some necessary conditions for the existence of rigid sphere designs. In particular, we have successfully resolved the conjecture proposed by [Ban87]; Given fixed positive integers t and d, we show that there exist only finitely many rigid t-designs on Sd, up to orthogonal transformations.