On the p-Ranks and Characteristic Polynomials of Cyclic Difference Sets
نویسندگان
چکیده
In this paper, the p-ranks and characteristic polynomials of cyclic difference sets are derived by expanding the trace expressions of their characteristic sequences. Using this method, it is shown that the 3-ranks and characteristic polynomials of the Helleseth–Kumar–Martinsen (HKM) difference set and the Lin difference set can be easily obtained. Also, the p-rank of a Singer difference set is reviewed and the characteristic polynomial is calculated using our approach.
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عنوان ژورنال:
- Des. Codes Cryptography
دوره 33 شماره
صفحات -
تاریخ انتشار 2004