Information on Result #615995

Linear OA(968, 81, F9, 52) (dual of [81, 13, 53]-code), using an extension Ce(51) of the primitive narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [1,51], and designed minimum distance d ≥ |I|+1 = 52

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(982, 95, F9, 54) (dual of [95, 13, 55]-code) [i]Juxtaposition
2Linear OA(985, 98, F9, 56) (dual of [98, 13, 57]-code) [i]
3Linear OA(988, 101, F9, 58) (dual of [101, 13, 59]-code) [i]
4Linear OA(995, 108, F9, 64) (dual of [108, 13, 65]-code) [i]
5Linear OA(996, 109, F9, 65) (dual of [109, 13, 66]-code) [i]
6Linear OA(998, 111, F9, 66) (dual of [111, 13, 67]-code) [i]
7Linear OA(9100, 113, F9, 67) (dual of [113, 13, 68]-code) [i]
8Linear OA(9147, 160, F9, 104) (dual of [160, 13, 105]-code) [i]
9Linear OA(973, 86, F9, 54) (dual of [86, 13, 55]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
10Linear OA(980, 93, F9, 60) (dual of [93, 13, 61]-code) [i]✔
11Linear OA(978, 91, F9, 59) (dual of [91, 13, 60]-code) [i]✔
12Linear OA(982, 95, F9, 61) (dual of [95, 13, 62]-code) [i]✔
13Linear OA(985, 98, F9, 62) (dual of [98, 13, 63]-code) [i]✔
14Linear OA(997, 109, F9, 70) (dual of [109, 12, 71]-code) [i]✔
15Linear OA(998, 111, F9, 70) (dual of [111, 13, 71]-code) [i]✔
16Linear OA(996, 109, F9, 69) (dual of [109, 13, 70]-code) [i]✔
17Linear OA(989, 101, F9, 63) (dual of [101, 12, 64]-code) [i]✔
18Linear OA(9102, 115, F9, 71) (dual of [115, 13, 72]-code) [i]✔
19Linear OA(9109, 122, F9, 74) (dual of [122, 13, 75]-code) [i]✔
20Linear OA(9110, 123, F9, 75) (dual of [123, 13, 76]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
21Linear OA(9106, 119, F9, 72) (dual of [119, 13, 73]-code) [i]✔
22Linear OA(9108, 121, F9, 74) (dual of [121, 13, 75]-code) [i]✔
23Linear OA(9106, 119, F9, 73) (dual of [119, 13, 74]-code) [i]✔
24Linear OA(9100, 112, F9, 71) (dual of [112, 12, 72]-code) [i]✔
25Linear OA(989, 102, F9, 63) (dual of [102, 13, 64]-code) [i]✔
26Linear OA(990, 102, F9, 64) (dual of [102, 12, 65]-code) [i]✔
27Linear OA(988, 100, F9, 63) (dual of [100, 12, 64]-code) [i]✔
28Linear OA(9100, 114, F9, 70) (dual of [114, 14, 71]-code) [i]✔
29Linear OA(998, 112, F9, 69) (dual of [112, 14, 70]-code) [i]✔
30Linear OA(996, 110, F9, 68) (dual of [110, 14, 69]-code) [i]✔
31Linear OA(987, 102, F9, 62) (dual of [102, 15, 63]-code) [i]✔
32Linear OA(986, 100, F9, 62) (dual of [100, 14, 63]-code) [i]✔
33Linear OA(978, 92, F9, 58) (dual of [92, 14, 59]-code) [i]✔
34Linear OA(975, 92, F9, 52) (dual of [92, 17, 53]-code) [i]✔
35Linear OA(979, 102, F9, 52) (dual of [102, 23, 53]-code) [i]✔
36Linear OA(989, 116, F9, 52) (dual of [116, 27, 53]-code) [i]✔
37Linear OA(988, 114, F9, 52) (dual of [114, 26, 53]-code) [i]✔
38Linear OA(988, 115, F9, 52) (dual of [115, 27, 53]-code) [i]✔
39Linear OA(987, 113, F9, 52) (dual of [113, 26, 53]-code) [i]✔