Trace Representation of a New Class of Sextic Residue Sequences of Period p equivalent to 3 (mod 8)
A new class of sextic residue sequences of period prime p = 4u(2) + 27 = 6f + 1 equivalent to 3 (mod 8) are presented. Their trace function representations are determined. And the exact value of the linear complexity is derived from the trace function representations. The result indicates that the new sextic sequences are quite good from the linear complexity viewpoint.
sextic residue sequences trace function linear complexity stream cipher