Abstract
Some basic properties of M-arrays are described. M-array is a two dimensional array in which an M-sequence is arranged under a certain rule.
Based on the fact that an M-sequence is represented by the tcace of a finite field, the row sequences or the column sequences in the M-array are explicitly expressed by use of the trace.
Using this expression, the authors show theoretically some of the basic properties of M-array, such as
(1) the column sequences of M-array are either M-sequences of small degree or zero sequences,
(2) the row sequences of M-array are nonmaximum length sequences of the same degree but all different,
(3) for even degree M-sequence, M-array is symmetrical with respect to a zero columm when only one zero column exists, and so on.
