A new class of 2/sup N/-ary sequences: construction and properties
R. S. Raja Durai, N. Suehiro · 2005
A class of 2N-ary sequences, called L-sequences, of period (2N)i- 1 with each sequence symbol from the composite field GF((2m)t) is constructed, where N = mt for Some integers m, t and i = 1 , 2 , , , , , t. An L-sequence of length (2N)i- 1 is obtained through the linear recursion resulted from a linear feedback shift register that is specified by a primitive polynomial of degree i over GF((2m)t), where i = 1,2, . . . , t. Each symbol in an L-sequence is also given a matrix representation. Further, some interesting properties of the class of L-sequences are presented.