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1
Content available remote

New pseudorandom sequences constructed using multiplicative inverses

100%
Liu H.
Acta Arithmetica
|
2006
|
tom 125
|
nr 1
11-19
2
Content available remote

A family of pseudorandom binary sequences constructed by the multiplicative inverse

100%
Liu H.
Acta Arithmetica
|
2007
|
tom 130
|
nr 2
167-180
3
Content available remote

Large families of pseudorandom binary sequences and lattices by using the multiplicative inverse

100%
Liu H.
Acta Arithmetica
|
2013
|
tom 159
|
nr 2
123-131
EN
Large families of pseudorandom binary sequences and lattices are constructed by using the multiplicative inverse and estimates of exponential sums in a finite field. Pseudorandom measures of binary sequences and lattices are studied.
4
Content available remote

A large family of Boolean functions

64%
Liu H., Zhang M.
Acta Arithmetica
|
2016
|
tom 172
|
nr 3
251-262
EN
In a series of papers many Boolean functions with good cryptographic properties were constructed using number-theoretic methods. We construct a large family of Boolean functions by using polynomials over finite fields, and study their cryptographic properties: maximum Fourier coefficient, nonlinearity, average sensitivity, sparsity, collision and avalanche effect.
5
Content available remote

On the mean value of L(m,χ )L(n,χ̅) at positive integers m,n ≥ 1

64%
Liu H., Zhang W.
Acta Arithmetica
|
2006
|
tom 122
|
nr 1
51-56
6
Content available remote

Hybrid mean value for a generalization of a problem of D. H. Lehmer

64%
Liu H., Zhang W.
Acta Arithmetica
|
2007
|
tom 130
|
nr 1
1-17
7
Content available remote

The equation n₁n₂ = n₃n₄, the gcd-sum function and the mean values of certain character sums

64%
Liu H., Zhai W.
Acta Arithmetica
|
2012
|
tom 152
|
nr 2
137-157
8
Content available remote

Large families of pseudorandom binary sequences constructed by using the Legendre symbol

64%
Liu H., Gao J.
Acta Arithmetica
|
2012
|
tom 154
|
nr 1
103-108
9
Content available remote

A note on the pseudorandomness of the Liouville function

64%
Liu H., Zhai W.
Acta Arithmetica
|
2009
|
tom 136
|
nr 2
101-121
10
Content available remote

Large families of elliptic curve pseudorandom binary sequences

51%
Liu H., Zhan T., Wang X.
Acta Arithmetica
|
2009
|
tom 140
|
nr 2
135-144
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