Some 9-Divisible Ternary Linear Codes of Dimension 7-10
 
9-divisible [n,7,d]_3 code for n ≤ 55 and d=9,18,27
("E", "N" and "-" stand for Existence, Nonexistence and unknown, respectively. Especially, let "E*" be Existence when all codes are unknown.)
n/d   9 18 27
1-34 N N N
35 E N N
36 N N N
37 E N N
38 E N N
39 E E N
40 E E N
41 N N N
42 N N N
43 E N N
44 E N N
45 E E N
46 E N N
47 E N N
48 E E N
49 E E N
50 E E N
51 E* E* N
52 E* E* N
53 E* E* -
54 E* E* -
55 E* E* -

9-divisible [n,8,d]_3 code for n ≤ 55 and d=9,18,27
("E", "N" and "-" stand for Existence, Nonexistence and unknown, respectively. Especially, let "E*" be Existence when all codes are unknown.)
n/d   9 18 27
1-37 N N N
38 E N N
39 E N N
40 E N N
41 N N N
42 N N N
43 N N N
44 E N N
45 N N N
46 E N N
47 E N N
48 E* E N
49 E N N
50 E* N N
51 E* E* N
52 E* E* N
53 E* E* N
54 E* E* -
55 E* - -

9-divisible [n,9,d]_3 code for n ≤ 55 and d=9,18,27
("E", "N" and "-" stand for Existence, Nonexistence and unknown, respectively. Especially, let "E*" be Existence when all codes are unknown.)
n/d   9 18 27
1-38 N N N
39 E N N
40 N N N
41 N N N
42 N N N
43 N N N
44 N N N
45 N N N
46 N N N
47 E N N
48 E N N
49 E N N
50 E N N
51 E* N N
52 E* E* N
53 E* E* N
54 E* E* N
55 E* - -

9-divisible [n,10,d]_3 code for n ≤ 55 and d=9,18,27
("E", "N" and "-" stand for Existence, Nonexistence and unknown, respectively. Especially, let "E*" be Existence when all codes are unknown.)
n/d   9 18 27
1-47 N N N
48 E N N
49 N N N
50 E N N
51 E N N
52 - N N
53 - - N
54 - - N
55 - - N

No 3-divisible [17,9,6]_3 codes

No 9-divisible [40,8,18]_3 codes from 9-divisible [39,7,18]_3 codes

No 9-divisible [49,8,18]_3 codes from 9-divisible [n,7,18]_3 codes for n=39, 40, 45 and 48

No 9-divisible [50,8,18]_3 codes from 9-divisible [n,7,18]_3 codes for n=39, 40, 45, 48 and 49

No 9-divisible [49,10,9]_3 codes from 9-divisible [n,9,9]_3 codes for n=39, 47 and 48

No 9-divisible [55,10,9]_3 codes from 9-divisible [n,9,9]_3 codes for n=39, 47, 48, 49 and 50

 

See Database with linear codes for dimension k < 7.