Information on Result #718182

Linear OA(965, 80, F9, 50) (dual of [80, 15, 51]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [0,49], and designed minimum distance d ≥ |I|+1 = 51

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

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(9143, 156, F9, 101) (dual of [156, 13, 102]-code) [i]Repeating Each Code Word
2Linear OA(9142, 154, F9, 101) (dual of [154, 12, 102]-code) [i]
3Linear OA(9141, 152, F9, 101) (dual of [152, 11, 102]-code) [i]
4Linear OA(9140, 150, F9, 101) (dual of [150, 10, 102]-code) [i]
5Linear OA(986, 120, F9, 50) (dual of [120, 34, 51]-code) [i]✔Construction XX with Cyclic Codes
6Linear OA(985, 118, F9, 50) (dual of [118, 33, 51]-code) [i]✔
7Linear OA(984, 115, F9, 50) (dual of [115, 31, 51]-code) [i]✔
8Linear OA(983, 112, F9, 50) (dual of [112, 29, 51]-code) [i]✔
9Linear OA(982, 110, F9, 50) (dual of [110, 28, 51]-code) [i]✔
10Linear OA(981, 108, F9, 50) (dual of [108, 27, 51]-code) [i]✔
11Linear OA(975, 93, F9, 52) (dual of [93, 18, 53]-code) [i]✔
12Linear OA(978, 96, F9, 53) (dual of [96, 18, 54]-code) [i]✔
13Linear OA(994, 118, F9, 60) (dual of [118, 24, 61]-code) [i]✔
14Linear OA(993, 116, F9, 60) (dual of [116, 23, 61]-code) [i]✔
15Linear OA(992, 114, F9, 60) (dual of [114, 22, 61]-code) [i]✔
16Linear OA(997, 120, F9, 61) (dual of [120, 23, 62]-code) [i]✔
17Linear OA(989, 110, F9, 59) (dual of [110, 21, 60]-code) [i]✔
18Linear OA(984, 105, F9, 55) (dual of [105, 21, 56]-code) [i]✔
19Linear OA(991, 111, F9, 60) (dual of [111, 20, 61]-code) [i]✔
20Linear OA(998, 122, F9, 61) (dual of [122, 24, 62]-code) [i]✔
21Linear OA(995, 117, F9, 61) (dual of [117, 22, 62]-code) [i]✔
22Linear OA(9104, 129, F9, 62) (dual of [129, 25, 63]-code) [i]✔
23Linear OA(9103, 127, F9, 62) (dual of [127, 24, 63]-code) [i]✔
24Linear OA(9101, 124, F9, 62) (dual of [124, 23, 63]-code) [i]✔
25Linear OA(991, 112, F9, 60) (dual of [112, 21, 61]-code) [i]✔
26Linear OA(986, 105, F9, 58) (dual of [105, 19, 59]-code) [i]✔
27Linear OA(981, 100, F9, 54) (dual of [100, 19, 55]-code) [i]✔
28Linear OA(982, 100, F9, 55) (dual of [100, 18, 56]-code) [i]✔
29Linear OA(983, 100, F9, 56) (dual of [100, 17, 57]-code) [i]✔
30Linear OA(994, 114, F9, 61) (dual of [114, 20, 62]-code) [i]✔
31Linear OA(9101, 125, F9, 62) (dual of [125, 24, 63]-code) [i]✔
32Linear OA(9100, 123, F9, 62) (dual of [123, 23, 63]-code) [i]✔
33Linear OA(999, 121, F9, 62) (dual of [121, 22, 63]-code) [i]✔
34Linear OA(990, 109, F9, 60) (dual of [109, 19, 61]-code) [i]✔
35Linear OA(986, 103, F9, 59) (dual of [103, 17, 60]-code) [i]✔
36Linear OA(981, 98, F9, 55) (dual of [98, 17, 56]-code) [i]✔
37Linear OA(998, 118, F9, 62) (dual of [118, 20, 63]-code) [i]✔
38Linear OA(9103, 125, F9, 63) (dual of [125, 22, 64]-code) [i]✔
39Linear OA(9107, 128, F9, 66) (dual of [128, 21, 67]-code) [i]✔
40Linear OA(9105, 126, F9, 65) (dual of [126, 21, 66]-code) [i]✔
41Linear OA(9103, 124, F9, 64) (dual of [124, 21, 65]-code) [i]✔
42Linear OA(9105, 125, F9, 66) (dual of [125, 20, 67]-code) [i]✔
43Linear OA(9103, 123, F9, 65) (dual of [123, 20, 66]-code) [i]✔
44Linear OA(9106, 125, F9, 67) (dual of [125, 19, 68]-code) [i]✔
45Linear OA(9104, 123, F9, 66) (dual of [123, 19, 67]-code) [i]✔
46Linear OA(9102, 121, F9, 65) (dual of [121, 19, 66]-code) [i]✔
47Linear OA(999, 118, F9, 63) (dual of [118, 19, 64]-code) [i]✔
48Linear OA(9103, 121, F9, 66) (dual of [121, 18, 67]-code) [i]✔
49Linear OA(9100, 118, F9, 64) (dual of [118, 18, 65]-code) [i]✔
50Linear OA(9104, 121, F9, 67) (dual of [121, 17, 68]-code) [i]✔
51Linear OA(9101, 118, F9, 65) (dual of [118, 17, 66]-code) [i]✔
52Linear OA(9102, 119, F9, 66) (dual of [119, 17, 67]-code) [i]✔
53Linear OA(9100, 117, F9, 65) (dual of [117, 17, 66]-code) [i]✔
54Linear OA(986, 101, F9, 62) (dual of [101, 15, 63]-code) [i]✔
55Linear OA(9118, 133, F9, 79) (dual of [133, 15, 80]-code) [i]✔
56Linear OA(9116, 131, F9, 78) (dual of [131, 15, 79]-code) [i]✔
57Linear OA(9114, 129, F9, 77) (dual of [129, 15, 78]-code) [i]✔
58Linear OA(9112, 127, F9, 76) (dual of [127, 15, 77]-code) [i]✔
59Linear OA(9110, 125, F9, 75) (dual of [125, 15, 76]-code) [i]✔
60Linear OA(9114, 128, F9, 78) (dual of [128, 14, 79]-code) [i]✔
61Linear OA(9112, 126, F9, 77) (dual of [126, 14, 78]-code) [i]✔
62Linear OA(9110, 124, F9, 76) (dual of [124, 14, 77]-code) [i]✔
63Linear OA(9114, 127, F9, 79) (dual of [127, 13, 80]-code) [i]✔
64Linear OA(9112, 125, F9, 78) (dual of [125, 13, 79]-code) [i]✔
65Linear OA(9110, 123, F9, 77) (dual of [123, 13, 78]-code) [i]✔
66Linear OOA(965, 40, F9, 2, 50) (dual of [(40, 2), 15, 51]-NRT-code) [i]OOA Folding