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Table 4 Decompositions of orders for the CBIJM [ J ] p s with density 1/ p

From: An explicit construction of fast cocyclic jacket transform on the finite field with any size

Order

Decomposition

CBIJM

Density

2

2=2

[J]2=[J]2

1/2

3

3=3

[J]3=[J]3

1/3

4

22=2×2

[ J ] 4 = [ J ] 2 ⊗ 2

1/2

5

5=5

[J]5=[J]5

1/5

7

7=7

[J]7=[J]7

1/7

8

23=22×2

[ J ] 8 = [ J ] 2 ⊗ 3

1/2

9

32=3×3

[ J ] 9 = [ J ] 3 ⊗ 2

1/3

11

11=11

[J]11=[J]11

1/11

13

13=13

[J]13=[J]13

1/13

16

24=23×2

[ J ] 16 = [ J ] 2 ⊗ 4

1/2

17

17=17

[J]17=[J]17

1/17

19

19=19

[J]19=[J]19

1/19

23

23=23

[J]23=[J]23

1/23

25

52=5×5

[ J ] 25 = [ J ] 5 ⊗ 2

1/5