Information on Result #615948

Linear OA(963, 81, F9, 44) (dual of [81, 18, 45]-code), using an extension Ce(43) of the primitive narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [1,43], and designed minimum distance d ≥ |I|+1 = 44

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(3207, 243, F3, 89) (dual of [243, 36, 90]-code) [i]Concatenation of Two Codes
2Linear OA(990, 108, F9, 60) (dual of [108, 18, 61]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
3Linear OA(982, 100, F9, 54) (dual of [100, 18, 55]-code) [i]✔
4Linear OA(972, 99, F9, 44) (dual of [99, 27, 45]-code) [i]✔
5Linear OA(973, 101, F9, 44) (dual of [101, 28, 45]-code) [i]✔
6Linear OA(975, 104, F9, 44) (dual of [104, 29, 45]-code) [i]✔
7Linear OA(976, 107, F9, 44) (dual of [107, 31, 45]-code) [i]✔
8Linear OA(977, 109, F9, 44) (dual of [109, 32, 45]-code) [i]✔
9Linear OA(978, 111, F9, 44) (dual of [111, 33, 45]-code) [i]✔
10Linear OA(981, 115, F9, 44) (dual of [115, 34, 45]-code) [i]✔
11Linear OA(982, 117, F9, 44) (dual of [117, 35, 45]-code) [i]✔
12Linear OA(9100, 117, F9, 64) (dual of [117, 17, 65]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
13Linear OA(998, 115, F9, 63) (dual of [115, 17, 64]-code) [i]✔
14Linear OA(997, 115, F9, 62) (dual of [115, 18, 63]-code) [i]✔
15Linear OA(996, 113, F9, 62) (dual of [113, 17, 63]-code) [i]✔
16Linear OA(996, 114, F9, 62) (dual of [114, 18, 63]-code) [i]✔
17Linear OA(995, 112, F9, 62) (dual of [112, 17, 63]-code) [i]✔
18Linear OA(992, 110, F9, 61) (dual of [110, 18, 62]-code) [i]✔
19Linear OA(989, 106, F9, 60) (dual of [106, 17, 61]-code) [i]✔
20Linear OA(989, 107, F9, 60) (dual of [107, 18, 61]-code) [i]✔
21Linear OA(988, 105, F9, 60) (dual of [105, 17, 61]-code) [i]✔
22Linear OA(983, 102, F9, 54) (dual of [102, 19, 55]-code) [i]✔
23Linear OA(978, 95, F9, 53) (dual of [95, 17, 54]-code) [i]✔
24Linear OA(975, 92, F9, 52) (dual of [92, 17, 53]-code) [i]✔
25Linear OA(973, 92, F9, 51) (dual of [92, 19, 52]-code) [i]✔
26Linear OA(980, 114, F9, 44) (dual of [114, 34, 45]-code) [i]✔