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math.NT2014★ 3 cited
Linear complexity problems of level sequences of Euler quotients and their related binary sequences
Zhihua Niu, Zhixiong Chen, Xiaoni Du
The Euler quotient modulo an odd-prime power can be uniquely decomposed as a -adic number of the form $$ \frac{u^{(p-1)p^{r-1}} -1}{p^r}\equiv a_0(u)+a_1(u)p+\ldots+…
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…