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Table 4 Upper bounds for the dimension k of linear Lee codes when \(q=17\)

From: On the linear programming bound for linear Lee codes

n\d

3

4

5

6

7

8

9

10

11

12

13

14

15

16

Time [s]

2

1*

1*

1*

           

0.043

3

2*

2*

1*

1*

1*

1*

1*

       

0.276

4

3*

2*

2*

2*

2*

2*

1*

1*

1*

1*

1*

1*

1*

 

2.271

5

4*

3*

3*

3*

2*

2*

2*

2*

2*

2

1*

1*

1*

1*

 

6

5*

4*

4*

4*

3*

3*

3*

3

2*

2*

2*

2*

2*

2*

 

n\d

17

18

19

20

21

22

23

24

25

26

27

28

29

30

Time [s]

5

1*

1*

1*

           

19.117

6

1*

1*

1*

1*

1*

1*

1*

1*

      

188.785

  1. The \(*\) indicates a tight bound and italics an improvement compared to the bound given by (2)