论文信息 - Trace representation of Legendre sequences of Mersenne prime period

Trace representation of Legendre sequences of Mersenne prime period

In this correspondence, it is shown that Legendre sequences of period p can be explicitly represented using the trace function defined on the finite field with 2/sup n/ elements, whenever p=2/sup n/-1 is prime for some n/spl ges/3.

[1] H. Niederreiter,et al. Finite Fields: Encyclopedia of Mathematics and Its Applications. , 1997 .

[2] Underwood Dudley. Elementary Number Theory , 1978 .

[3] D. Campana,et al. Spread-spectrum communications , 1993, IEEE Potentials.

[4] Solomon W. Golomb. On the classification of balanced binary sequences of period 2n-1 (Corresp.) , 1980, IEEE Trans. Inf. Theory.