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Table 2 Theoretical bounds for an n-length 4-letter code.

From: Coding limits on the number of transcription factors

n

# code words – 4n/2

Coloring bound

Sphere packing bound

3

32

18

3

4

128

42

9

5

512

95

32

6

2,048

210

107

7

8,192

460

372

8

32,768

994

1310

  1. The sphere packing bounds are from equation (10). The coloring bound is given by equation (8).