| Abstract: |
| Ahlswede, Khachatrian, Mauduit and S\`{a}rk\{o}zy introduced the notion of family complexity, Gyarmati, Mauduit and S\`{a}rk\{o}zy introduced the cross-correlation measure for families of binary sequences. It is a challenging problem to find families of binary sequences with both small cross-correlation measure and large family complexity. In this talk we present a family of binary sequences with both small cross-correlation measure and large family complexity by using the properties of character sums and primitive normal elements in finite fields. |
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