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math.CO2022
Quaternary Legendre Pairs
Ilias S. Kotsireas, Arne Winterhof
We introduce quaternary Legendre pairs of length . In contrast to binary Legendre pairs they can exist for even as well. First we show that they are pertinent to the c…
math.NT2022★ 1 cited
Character sums over sparse elements of finite fields
László Mérai, Igor E. Shparlinski, Arne Winterhof
We estimate mixed character sums of polynomial values over elements of a finite field with sparse representations in a fixed ordered basis over the subfield $\mat…
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…