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 六次剩余序列
 sextic residue sequences
 The paper constructs a new kind of sextic residue sequences of period prime p=4u2+27=6f+1.Based on the theory of finite fields and difference sets,trace function representation of this sequence of period p≡7(mod 8) is determined. 构造了一类新的周期为素数p=4u2+27=6f+1的六次剩余序列,利用有限域和差集理论给出了该序列在周期为素数p≡7mod8情形下的迹函数表示。 短句来源 The linear complexity of the new sequence is 3f=(p-1)/2,which outperforms that of Hall’s sextic residue sequences. 新序列的线性复杂度为3f=(p-1)2,优于Hall六次剩余序列在相同条件下的线性复杂度。 短句来源 In this correspondence, a new class of sextic residue sequences is constructed and the characteristic polynomial and hence the linear complexity of it are determined. 本文构造了一类新的六次剩余序列,给出了该类序列的特征多项式和线性复杂度。 短句来源
 sextic residue sequences
 The paper constructs a new kind of sextic residue sequences of period prime p=4u2+27=6f+1.Based on the theory of finite fields and difference sets,trace function representation of this sequence of period p≡7(mod 8) is determined. 构造了一类新的周期为素数p=4u2+27=6f+1的六次剩余序列,利用有限域和差集理论给出了该序列在周期为素数p≡7mod8情形下的迹函数表示。 短句来源 The linear complexity of the new sequence is 3f=(p-1)/2,which outperforms that of Hall’s sextic residue sequences. 新序列的线性复杂度为3f=(p-1)2,优于Hall六次剩余序列在相同条件下的线性复杂度。 短句来源 In this correspondence, a new class of sextic residue sequences is constructed and the characteristic polynomial and hence the linear complexity of it are determined. 本文构造了一类新的六次剩余序列,给出了该类序列的特征多项式和线性复杂度。 短句来源

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 In this correspondence, a new class of sextic residue sequences is constructed and the characteristic polynomial and hence the linear complexity of it are determined. Results show that most of these sequences have good linear complexity. 本文构造了一类新的六次剩余序列,给出了该类序列的特征多项式和线性复杂度。结果表明该类序列具有较好的线性复杂度性质。 The paper constructs a new kind of sextic residue sequences of period prime p=4u2+27=6f+1.Based on the theory of finite fields and difference sets,trace function representation of this sequence of period p≡7(mod 8) is determined.The linear complexity of the new sequence is 3f=(p-1)/2,which outperforms that of Hall’s sextic residue sequences. 构造了一类新的周期为素数p=4u2+27=6f+1的六次剩余序列,利用有限域和差集理论给出了该序列在周期为素数p≡7mod8情形下的迹函数表示。新序列的线性复杂度为3f=(p-1)2,优于Hall六次剩余序列在相同条件下的线性复杂度。
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