GF(q^m)上扩展m-序列的自相关函数

The Autocorrelation Function of Generalized mSequence over GF(qm)

利用有限域上的迹函数理论和ｍ－序列的迹表示定理，证明了扩展ｍ－序列的自相关函数是二值的，同时指出Ｇｏｌｏｍｂ猜想不能推广到一般有限域ＧＦ（ｑｍ）上的序列．

The autocorrelation function of generalized msequence over GF(qm) is proved to be twovalued, and it is pointed out that one conjecture of Golomb's can't be generalized to GF(qm) .