On the 3-Ranks and Characteristic Polynomials of HKN and Lin Difference Sets

  • Published : 2001.07.01

Abstract

In the paper, the p-ranks and characteristics polynomials of cyclic difference sets are derived by expanding the trace expression of their characteristic sequences. By using this method, it is shown that the 3-ranks and characteristic polynomials of Helleseth-Kumar-Martinsen (HKM) difference set and Lin difference set can be easily obtained.

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