Information on Result #622234

Linear OA(912, 20, F9, 10) (dual of [20, 8, 11]-code), using extended algebraic-geometric code AGe(F,9P) based on function field F/F9 with g(F) = 2 and N(F) ≥ 20, using

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(967, 750, F9, 21) (dual of [750, 683, 22]-code) [i](u, u+v)-Construction
2Linear OA(9103, 59070, F9, 21) (dual of [59070, 58967, 22]-code) [i]
3Linear OA(9121, 531462, F9, 21) (dual of [531462, 531341, 22]-code) [i]
4Linear OA(9139, 4782990, F9, 21) (dual of [4782990, 4782851, 22]-code) [i]
5Linear OA(964, 749, F9, 20) (dual of [749, 685, 21]-code) [i]
6Linear OA(998, 59069, F9, 20) (dual of [59069, 58971, 21]-code) [i]
7Linear OA(9115, 531461, F9, 20) (dual of [531461, 531346, 21]-code) [i]
8Linear OA(9132, 4782989, F9, 20) (dual of [4782989, 4782857, 21]-code) [i]
9Linear OA(993, 101, F9, 72) (dual of [101, 8, 73]-code) [i]Juxtaposition
10Linear OA(9103, 110, F9, 81) (dual of [110, 7, 82]-code) [i]
11Linear OA(9120, 127, F9, 91) (dual of [127, 7, 92]-code) [i]
12Linear OA(9115, 121, F9, 91) (dual of [121, 6, 92]-code) [i]
13Linear OA(9142, 150, F9, 112) (dual of [150, 8, 113]-code) [i]
14Linear OA(344, 60, F3, 21) (dual of [60, 16, 22]-code) [i]Concatenation of Two Codes
15Linear OA(343, 57, F3, 21) (dual of [57, 14, 22]-code) [i]
16Linear OA(342, 54, F3, 21) (dual of [54, 12, 22]-code) [i]
17Linear OA(9100, 111, F9, 71) (dual of [111, 11, 72]-code) [i]Construction X with Cyclic Codes
18Linear OA(993, 102, F9, 72) (dual of [102, 9, 73]-code) [i]
19Linear OA(985, 102, F9, 56) (dual of [102, 17, 57]-code) [i]
20Linear OA(973, 102, F9, 42) (dual of [102, 29, 43]-code) [i]
21Linear OA(969, 102, F9, 40) (dual of [102, 33, 41]-code) [i]
22Linear OA(977, 119, F9, 40) (dual of [119, 42, 41]-code) [i]Construction XX with Cyclic Codes
23Linear OA(987, 119, F9, 50) (dual of [119, 32, 51]-code) [i]
24Linear OA(986, 117, F9, 50) (dual of [117, 31, 51]-code) [i]
25Linear OA(985, 114, F9, 50) (dual of [114, 29, 51]-code) [i]
26Linear OA(988, 119, F9, 51) (dual of [119, 31, 52]-code) [i]
27Linear OA(994, 117, F9, 60) (dual of [117, 23, 61]-code) [i]
28Linear OA(993, 115, F9, 60) (dual of [115, 22, 61]-code) [i]
29Linear OA(992, 112, F9, 60) (dual of [112, 20, 61]-code) [i]
30Linear OA(997, 120, F9, 61) (dual of [120, 23, 62]-code) [i]
31Linear OA(997, 120, F9, 61) (dual of [120, 23, 62]-code) [i]
32Linear OA(995, 117, F9, 61) (dual of [117, 22, 62]-code) [i]
33Linear OA(9101, 124, F9, 62) (dual of [124, 23, 63]-code) [i]
34Linear OA(994, 114, F9, 61) (dual of [114, 20, 62]-code) [i]
35Linear OA(997, 117, F9, 62) (dual of [117, 20, 63]-code) [i]
36Linear OA(988, 104, F9, 62) (dual of [104, 16, 63]-code) [i]
37Linear OA(9101, 117, F9, 70) (dual of [117, 16, 71]-code) [i]
38Linear OA(9100, 115, F9, 70) (dual of [115, 15, 71]-code) [i]
39Linear OA(999, 113, F9, 70) (dual of [113, 14, 71]-code) [i]
40Linear OA(9104, 120, F9, 71) (dual of [120, 16, 72]-code) [i]
41Linear OA(9104, 120, F9, 71) (dual of [120, 16, 72]-code) [i]
42Linear OA(9103, 118, F9, 71) (dual of [118, 15, 72]-code) [i]
43Linear OA(9103, 118, F9, 71) (dual of [118, 15, 72]-code) [i]
44Linear OA(9102, 116, F9, 71) (dual of [116, 14, 72]-code) [i]
45Linear OA(9102, 116, F9, 71) (dual of [116, 14, 72]-code) [i]
46Linear OA(9101, 114, F9, 71) (dual of [114, 13, 72]-code) [i]
47Linear OA(9102, 117, F9, 71) (dual of [117, 15, 72]-code) [i]
48Linear OA(9101, 115, F9, 71) (dual of [115, 14, 72]-code) [i]
49Linear OA(9100, 113, F9, 71) (dual of [113, 13, 72]-code) [i]
50Linear OA(990, 99, F9, 71) (dual of [99, 9, 72]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
51Linear OA(989, 101, F9, 63) (dual of [101, 12, 64]-code) [i]
52Linear OA(987, 101, F9, 62) (dual of [101, 14, 63]-code) [i]
53Linear OA(985, 101, F9, 61) (dual of [101, 16, 62]-code) [i]
54Linear OA(990, 102, F9, 64) (dual of [102, 12, 65]-code) [i]Construction XX with a Chain of Extended Narrow-Sense BCH Codes