Approaches to Agrawal’s conjecture for triple arrays
Thu
1
Dec
Thursday 1 December, 2022at 14:15 - 15:15
MIT.A.346
Abstract: A triple array is an array in which two 2-designs are merged together such that any row and column contain the same number of common symbols. We say that the array is adjusted orthogonal. Agrawal’s conjecture from 1966 says that (in the canonical case), there is a triple array if and only there is a symmetric 2-design. Given a triple array we can construct a symmetric 2-design, but in this talk we look at what is known about the desirable and still open direction.
We will give background and define objects used. The exposition will be elementary and special knowledge of the area will not be assumed.