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math.NT2019
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…
math.NT2019
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…
cs.IT2019
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…