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On Some Exponential Sums Related to the Coulter's Polynomial
Minglong Qi, Shengwu Xiong, Jingling Yuan +2
In this paper, the formulas of some exponential sums over finite field, related to the Coulter's polynomial, are settled based on the Coulter's theorems on Weil sums, which may hav…
On the Nonexistence of the Ding-Helleseth-Martinsens Constructions of Almost Difference Set for Cyclotomic Classes of Order 6
Minglong Qi, Shengwu Xiong, Jinbgling Yuan +2
Pseudorandom sequences with optimal three-level autocorrelation have important applications in CDMA communication systems. Constructing the sequences with three-level autocorrelati…
On a Class of Almost Difference Sets Constructed by Using the Ding-Helleseth-Martinsens Constructions
Minglong Qi, Shengwu Xiong, Jingling Yuan +2
Pseudorandom binary sequences with optimal balance and autocorrelation have many applications in stream cipher, communication, coding theory, etc. It is known that binary sequences…
On the Linear Complexity of Generalized Cyclotomic Quaternary Sequences with Length
Minglong Qi, Shengwu Xiong, Jingling Yuan +2
In this paper, the linear complexity over of generalized cyclotomic quaternary sequences with period is determined, where is an odd prime such that $r…