Information on Result #691113

Linear OA(977, 81, F9, 70) (dual of [81, 4, 71]-code), using an extension Ce(69) of the primitive narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [1,69], and designed minimum distance d ≥ |I|+1 = 70

Mode: Constructive and linear.

This result is hidden, because other results with identical parameters exist.

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

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(986, 94, F9, 70) (dual of [94, 8, 71]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(983, 91, F9, 68) (dual of [91, 8, 69]-code) [i]✔
3Linear OA(987, 96, F9, 70) (dual of [96, 9, 71]-code) [i]✔
4Linear OA(982, 91, F9, 66) (dual of [91, 9, 67]-code) [i]✔
5Linear OA(996, 107, F9, 70) (dual of [107, 11, 71]-code) [i]✔
6Linear OA(991, 101, F9, 66) (dual of [101, 10, 67]-code) [i]✔
7Linear OA(990, 101, F9, 65) (dual of [101, 11, 66]-code) [i]✔
8Linear OA(987, 98, F9, 63) (dual of [98, 11, 64]-code) [i]✔
9Linear OA(997, 109, F9, 70) (dual of [109, 12, 71]-code) [i]✔
10Linear OA(998, 111, F9, 70) (dual of [111, 13, 71]-code) [i]✔
11Linear OA(996, 109, F9, 69) (dual of [109, 13, 70]-code) [i]✔
12Linear OA(989, 101, F9, 63) (dual of [101, 12, 64]-code) [i]✔
13Linear OA(9101, 115, F9, 70) (dual of [115, 14, 71]-code) [i]✔
14Linear OA(9102, 117, F9, 70) (dual of [117, 15, 71]-code) [i]✔
15Linear OA(999, 113, F9, 69) (dual of [113, 14, 70]-code) [i]✔
16Linear OA(9100, 115, F9, 69) (dual of [115, 15, 70]-code) [i]✔
17Linear OA(997, 111, F9, 68) (dual of [111, 14, 69]-code) [i]✔
18Linear OA(998, 113, F9, 68) (dual of [113, 15, 69]-code) [i]✔
19Linear OA(995, 109, F9, 67) (dual of [109, 14, 68]-code) [i]✔
20Linear OA(996, 111, F9, 67) (dual of [111, 15, 68]-code) [i]✔
21Linear OA(994, 109, F9, 66) (dual of [109, 15, 67]-code) [i]✔
22Linear OA(9104, 120, F9, 70) (dual of [120, 16, 71]-code) [i]✔
23Linear OA(9100, 116, F9, 68) (dual of [116, 16, 69]-code) [i]✔
24Linear OA(997, 113, F9, 66) (dual of [113, 16, 67]-code) [i]✔
25Linear OA(995, 111, F9, 65) (dual of [111, 16, 66]-code) [i]✔
26Linear OA(993, 109, F9, 64) (dual of [109, 16, 65]-code) [i]✔
27Linear OA(983, 92, F9, 67) (dual of [92, 9, 68]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
28Linear OA(990, 100, F9, 66) (dual of [100, 10, 67]-code) [i]✔
29Linear OA(995, 106, F9, 70) (dual of [106, 11, 71]-code) [i]✔
30Linear OA(988, 99, F9, 64) (dual of [99, 11, 65]-code) [i]✔
31Linear OA(994, 104, F9, 70) (dual of [104, 10, 71]-code) [i]✔
32Linear OA(988, 98, F9, 65) (dual of [98, 10, 66]-code) [i]✔
33Linear OA(989, 102, F9, 63) (dual of [102, 13, 64]-code) [i]✔
34Linear OA(990, 102, F9, 64) (dual of [102, 12, 65]-code) [i]✔
35Linear OA(988, 100, F9, 63) (dual of [100, 12, 64]-code) [i]✔
36Linear OA(9100, 114, F9, 70) (dual of [114, 14, 71]-code) [i]✔
37Linear OA(998, 112, F9, 69) (dual of [112, 14, 70]-code) [i]✔
38Linear OA(996, 110, F9, 68) (dual of [110, 14, 69]-code) [i]✔
39Linear OA(9101, 117, F9, 69) (dual of [117, 16, 70]-code) [i]✔
40Linear OA(998, 114, F9, 67) (dual of [114, 16, 68]-code) [i]✔
41Linear OA(996, 112, F9, 66) (dual of [112, 16, 67]-code) [i]✔
42Linear OA(994, 110, F9, 65) (dual of [110, 16, 66]-code) [i]✔
43Linear OA(9100, 117, F9, 64) (dual of [117, 17, 65]-code) [i]✔
44Linear OA(998, 115, F9, 63) (dual of [115, 17, 64]-code) [i]✔
45Linear OOA(977, 27, F9, 3, 70) (dual of [(27, 3), 4, 71]-NRT-code) [i]OOA Folding