In this paper, the p-ranks and characteristic polynomials of cyclic difference sets are derived by expanding the trace expressions of their characteristic sequences. The 3-ranks and characteristic polynomials of Helleseth-Kumar-Martinsen (HKM) and Lin difference sets are obtained, and the characteristic polynomial of the Singer difference set is calculated.
['Jong-Seon No', 'Dong-Joon Shin', 'Tor Helleseth']
On the p-ranks and characteristic polynomials of cyclic difference sets