Abstract
In this paper we give a new and simple construction for the cyclic [(q m − 1)/(q − 1), q m−1, q m−2(q− 1)]—difference sets (q = p γ is a prime power) using the methods of coding theory. The construction is such that, in the case q = 2, the 2-ranks of both the incidence matrix and its complementary matrix are easily determined.
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