engleski

Designs over finite fields by difference methods

One of the very first results about designs over finite fields, by S. Thomas, is the existence of a cyclic 2- design over F_2 for every integer n coprime with 6. Here, by means of difference methods, we reprove and improve a little bit this result showing that it is true, more generally, for every odd n. In this way, we also find the first infinite family of non- trivial cyclic group divisible designs over F_2.

Difference family ; Design over a finite field ; Group divisible design over a finite field

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