Cyclotomic association schemes of broad classes and applications to the construction of combinatorial structures

Abstract

In 2010, G. Fernández, R. Kwashira and L. Mart́ınez gave a new cyclotomy on A = ∏n i=1 Fqi , where Fqi is a finite field with qi elements. They defined a certain subgroup H of the group of units of this product ring A for which the quotient is cyclic. The orbits of the corresponding multiplicative action of the subgroup on the additive group of A are of two types: • The cyclotomic cosets of the quotient of the group of units of A over the subgroup H.