On the Polynomial Basis of Having a Small Number of Trace-One Elements

Table 2

Three piece polynomials with irreducible. The number of trace-one elements in the polynomial basis formed by is no more than four.

	/none
20
21
22
23
24
25
26
27
28
29	None
30
31
32
33
34
35
36
37
38	None
39	None
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101