H(n,3), ρ=3

n≤24, experimental

|C|/|H|

1·3-3

1·3-3

14·3-6

1·3-4

64·3-6

8·3-5

1·3-3

8·3-6

2·3-3

1·3-6

1·3-3

1·3-6

8·3-5

14·3-6

5·3-5

1·3-4

1·3-3

64·3-6

1·3-4

8·3-5

4·3-5

28·3-7

1·3-4

1·3-4

21·3-6

1·3-3

10·3-5

1·3-4

2·3-3

32·3-6

370·3-8

14·3-6

490·3-8

224·3-7

1·3-6

8·3-6

1·3-3

2197·3-9

520·3-8

429·3-8

52·3-7

43·3-7

1064·3-9

1·3-5

1·3-4

2·3-5

64·3-6

8·3-5

14·3-6

1870·3-9

310·3-8

385·3-8

15·3-5

1·3-6

1·3-3

1331·3-9

1·3-6

spectrum*

[ 1, 2, 3]

[ 2, 4, 6]

[ 3, 6, 9]

[ 3, 5, 6]

[ 3, 6, 9]

[ 3, 6, 9]

[ 3, 6, 9]

[ 3, 6, 9]

[ 5, 9,14]

[ 3, 6, 9]

[ 4, 8,12]

[ 6, 9,12]

[ 6, 9,15]

[ 6,12,18]

[ 6, 9,12]

[ 6,10,12]

[ 5,10,15]

[ 6,12,18]

[ 6,12,15]

[ 6,12,18]

[ 6,12,15]

[ 9,12,18]

[ 9,12,15]

[ 6,12,15]

[ 9,12,18]

[ 6,12,18]

[ 9,12,18]

[ 6,12,15]

[ 8,16,24]

[ 9,15,18]

[ 9,18,27]

[ 9,18,27]

[ 9,18,27]

[ 9,18,27]

[ 9,12,15]

[ 6,12,18]

[ 7,14,21]

[ 9,18,27]

[ 9,18,27]

[ 9,18,27]

[ 9,18,27]

[ 9,15,18]

[ 9,18,27]

[12,15,21]

[ 9,15,18]

[ 9,15,18]

[ 9,18,27]

[ 9,18,27]

[ 9,18,27]

[ 9,18,27]

[ 9,18,27]

[ 9,18,27]

[ 9,15,24]

[ 6,12,18]

[ 8,16,24]

[ 9,18,27]

[12,18,24]

LB

3

6

7

8

8

8

9

11

13

12

12

12

13

14

14

15

15

15

15

15

15

18

18

18

18

18

18

20

20

21

23

21

21

21

21

21

21

21

21

21

21

22

22

22

23

23

23

23

24

24

24

24

24

24

24

24

24

UB

3

6

???

???

12

???

9

???

???

???

12

12

???

???

???

???

15

???

???

???

???

???

???

???

???

18

???

???

???

???

???

???

???

???

???

???

21

???

???

???

???

???

???

???

???

???

???

???

???

???

???

???

???

???

24

???

???

reference

[3;1]^3

H(3,3)

*2

???

???

? [5;4]^3

???

*3

???

???

???

*4

linear; Golay

???

???

???

???

*5

???

???

???

???

???

???

???

???

*6

???

???

???

???

???

???

???

???

???

???

*7

???

???

???

???

???

???

???

???

???

???

???

???

???

???

???

???

???

*8

???

???