H(n,3), ρ=4

n≤24, experimental

|C|/|H|

1·3-4

1·3-4

256·3-8

1·3-5

25·3-6

1·3-4

16·3-8

8·3-6

8·3-5

1·3-8

1·3-4

1·3-8

4·3-5

4·3-7

1·3-4

256·3-8

19·3-7

1·3-5

25·3-6

112·3-9

1·3-4

spectrum*

[1,2,3,4]

[2,4,6,8]

[3,6,9,12]

[5,6,8,9]

[3,6,9,12]

[3,6,9,12]

[3,6,9,12]

[6,9,12,15]

[6,9,15,18]

[3,6,9,12]

[4,8,12,16]

[6,9,12,15]

[5,9,14,15]

[9,12,15,21]

[5,10,15,20]

[6,12,18,24]

[6,12,15,18]

[10,12,16,18]

[6,12,18,24]

[9,15,18,27]

[6,12,18,24]

LB

4

8

10

10

12

12

14

15

17

16

16

16

18

20

20

20

20

20

23

23

24

UB

4

8

16

10

???

12

16

???

???

16

16

???

???

???

20

36

???

20

???

???

24

reference

[2;1]4

H(4,3)

*2

? [5;4]4

linear;

punctured 1/3 Golay

???

*3

? [7;2]4

???

???

[8;1]4

*4

??? nonlin.(16,38,6)

formally self-dual

???

???

*5

? *2

???

*2

??? *2

???

*6