# 一类广义分圆三元序列的自相关值和线性复杂度The Autocorrelation Values and Linear Complexity of a Class of Generalized Cyclotomic Ternary Sequence

Abstract: Pseudorandom sequences with good properties have wide application in information security and communications et al. This paper construct an almost balanced generalized cyclotomic ternary sequence with period pn+1 based on the definition of generalized cyclotomic. Further, the autocorrelation values and linear complexity of this sequence are calculated. The method are based on using the classical cyclotomic numbers of order six and the values of partial exponential sums of cyclotomic class of order six over an extension field of GF(3). Results show that this sequence possesses good linear complexity.

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