1 citations · 2 across the 10 of their papers we have counts for
10 papers
New Kloosterman sum identities from the Helleseth-Zinoviev result on -linear Goethals codes
Minglong Qi, Shengwu Xiong
In the paper of Tor Helleseth and Victor Zinoviev (Designs, Codes and Cryptography, \textbf{17}, 269-288(1999)), the number of solutions of the system of equations from -l…
Extension of the Helleseth-Zinoviev result on the system of equations from Goethals codes and Kloosterman sums
Minglong Qi, Shengwu Xiong
In the paper of Tor Helleseth and Victor Zinoviev (Designs, Codes and Cryptography, \textbf{17}, 269-288(1999)), the number of solutions of the system of equations from -l…
Two classes of linear codes with a few weights based on twisted Kloosterman sums
Minglong Qi, Shengwu Xiong
Linear codes with a few weights have wide applications in information security, data storage systems, consuming electronics and communication systems. Construction of the linear co…
On a Theorem of Kyureghyan and Pott
Minglong Qi, Shenwu Xiong
In the paper of Gohar M. Kyureghyan and Alexander Pott (Designs, Codes and Cryptography, 29, 149-164, 2003), the linear feedback polynomials of the Sidel'nikov-Lempel-Cohn-Eastman…
On the complete weight enumerators of some linear codes with a few weights
Minglong Qi, Shengwu Xiong, Jingling Yuan +2
Linear codes with a few weights have important applications in authentication codes, secret sharing, consumer electronics, etc.. The determination of the parameters such as Hamming…
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 Hamming Auto- and Cross-correlation Functions of a Class of Frequency Hopping Sequences of Length
Minglong Qi, Shenwu Xiong, Jingling Yuan
In this paper, a new class of frequency hopping sequences (FHSs) of length is constructed by using Ding-Helleseth generalized cyclotomic classes of order 2, of which the…
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…