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20132023
most citedTrace representation and linear complexity of binary sequences derived from Fermat quotients

39 citations · 71 across the 21 of their papers we have counts for

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8 papers · 1 filter

cs.CR2022

Arithmetic crosscorrelation of pseudorandom binary sequences of coprime periods

Zhixiong Chen, Zhihua Niu, Arne Winterhof

The (classical) crosscorrelation is an important measure of pseudorandomness of two binary sequences for applications in communications. The arithmetic crosscorrelation is another…

cs.CR2021

On the 4-adic complexity of the two-prime quaternary generator

Vladimir Edemskiy, Zhixiong Chen

R. Hofer and A. Winterhof proved that the 2-adic complexity of the two-prime (binary) generator of period with two odd primes is close to its period and it can attai…

cs.CR2019

On the -error linear complexity of binary sequences derived from the discrete logarithm in finite fields

Zhixiong Chen, Qiuyan Wang

Let be a power of an odd prime . We study binary sequences with entries in defined by using the quadratic character of the finite fiel…

cs.CR2018★ 10 cited

On -error linear complexity of pseudorandom binary sequences derived from Euler quotients

Zhixiong Chen, Vladimir Edemskiy, Pinhui Ke +1

We investigate the -error linear complexity of pseudorandom binary sequences of period derived from the Euler quotients modulo , a power o…

cs.CR2017

On the -Bentness of Boolean Functions

Zhixiong Chen, Ting Gu, Andrew Klapper

For each non-constant in the set of -variable Boolean functions, the {\em -transform} of a Boolean function is related to the Hamming distances from to the functi…

cs.CR2017

On error linear complexity of new generalized cyclotomic binary sequences of period

Chenhuang Wu, Chunxiang Xu, Zhixiong Chen +1

We consider the -error linear complexity of a new binary sequence of period , proposed in the recent paper "New generalized cyclotomic binary sequences of period ", by…

cs.CR2017★ 1 cited

Linear complexity of Legendre-polynomial quotients

Zhixiong Chen

We continue to investigate binary sequence over defined by for integers , where $\left(\frac{\cdot}{p}\…

cs.CR2014★ 1 cited

Trace representation of pseudorandom binary sequences derived from Euler quotients

Zhixiong Chen, Xiaoni Du, Radwa Marzouk

We give the trace representation of a family of binary sequences derived from Euler quotients by determining the corresponding defining polynomials. Trace representation can help u…