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Table 1 Length and Total Number of m-Sequences, Gold, Kasami, and De Bruijn Sequences, for the Same Span n, 3 ≤ n ≤ 10 (The large set of Kasami Sequences is Considered)

From: Binary De Bruijn sequences for DS-CDMA systems: analysis and results

 

m-Sequences

Gold

 

Kasami

 

De Bruijn

 

n

Length

# Seq.

Length

# Seq.

Length

# Seq.

Length

# Seq.

3

7

2

7

9

//

//

8

2

4

15

2

15

17

15

64

16

16

5

31

6

31

33

//

//

32

2048

6

63

6

63

65

63

520

64

226

7

127

18

127

129

//

//

128

257

8

255

16

255

257

255

4096

256

2120

9

511

48

511

513

//

//

512

2247

10

1023

60

1023

1025

1023

32800

1024

2502