Information on Result #622358

Linear OA(1619, 24, F16, 18) (dual of [24, 5, 19]-code), using extended algebraic-geometric code AGe(F,5P) based on function field F/F16 with g(F) = 1 and N(F) ≥ 24, 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.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(1667, 72, F16, 56) (dual of [72, 5, 57]-code) [i]Repeating Each Code Word
2Linear OA(1691, 96, F16, 75) (dual of [96, 5, 76]-code) [i]
3Linear OA(16115, 120, F16, 94) (dual of [120, 5, 95]-code) [i]
4Linear OA(1665, 69, F16, 56) (dual of [69, 4, 57]-code) [i]
5Linear OA(1688, 92, F16, 75) (dual of [92, 4, 76]-code) [i]
6Linear OA(16111, 115, F16, 94) (dual of [115, 4, 95]-code) [i]
7Linear OA(16122, 4121, F16, 37) (dual of [4121, 3999, 38]-code) [i](u, u+v)-Construction
8Linear OA(16119, 4120, F16, 36) (dual of [4120, 4001, 37]-code) [i]
9Linear OA(1683, 88, F16, 73) (dual of [88, 5, 74]-code) [i]Juxtaposition
10Linear OA(1683, 87, F16, 74) (dual of [87, 4, 75]-code) [i]
11Linear OA(16100, 104, F16, 88) (dual of [104, 4, 89]-code) [i]
12Linear OA(1684, 89, F16, 74) (dual of [89, 5, 75]-code) [i]
13Linear OA(1686, 90, F16, 77) (dual of [90, 4, 78]-code) [i]
14Linear OA(2172, 192, F2, 75) (dual of [192, 20, 76]-code) [i]Concatenation of Two Codes
15Linear OA(462, 72, F4, 37) (dual of [72, 10, 38]-code) [i]
16Linear OA(486, 96, F4, 56) (dual of [96, 10, 57]-code) [i]
17Linear OA(484, 92, F4, 56) (dual of [92, 8, 57]-code) [i]
18Linear OA(4110, 120, F4, 75) (dual of [120, 10, 76]-code) [i]
19Linear OA(4107, 115, F4, 75) (dual of [115, 8, 76]-code) [i]
20Linear OA(4104, 110, F4, 75) (dual of [110, 6, 76]-code) [i]
21Linear OOA(2220, 120, F2, 2, 113) (dual of [(120, 2), 20, 114]-NRT-code) [i]Concatenation of Two NRT-Codes
22Linear OOA(2214, 115, F2, 2, 113) (dual of [(115, 2), 16, 114]-NRT-code) [i]
23Linear OOA(4134, 72, F4, 2, 94) (dual of [(72, 2), 10, 95]-NRT-code) [i]
24Linear OOA(4130, 69, F4, 2, 94) (dual of [(69, 2), 8, 95]-NRT-code) [i]
25Linear OOA(4182, 96, F4, 2, 132) (dual of [(96, 2), 10, 133]-NRT-code) [i]
26Linear OOA(4176, 92, F4, 2, 132) (dual of [(92, 2), 8, 133]-NRT-code) [i]
27Linear OOA(4170, 88, F4, 2, 132) (dual of [(88, 2), 6, 133]-NRT-code) [i]
28Linear OOA(4164, 84, F4, 2, 132) (dual of [(84, 2), 4, 133]-NRT-code) [i]
29Linear OOA(4230, 120, F4, 2, 170) (dual of [(120, 2), 10, 171]-NRT-code) [i]
30Linear OOA(4222, 115, F4, 2, 170) (dual of [(115, 2), 8, 171]-NRT-code) [i]
31Linear OOA(4214, 110, F4, 2, 170) (dual of [(110, 2), 6, 171]-NRT-code) [i]
32Linear OOA(4206, 105, F4, 2, 170) (dual of [(105, 2), 4, 171]-NRT-code) [i]
33Linear OOA(2196, 72, F2, 3, 113) (dual of [(72, 3), 20, 114]-NRT-code) [i]
34Linear OOA(2191, 69, F2, 3, 113) (dual of [(69, 3), 16, 114]-NRT-code) [i]
35Linear OOA(2186, 66, F2, 3, 113) (dual of [(66, 3), 12, 114]-NRT-code) [i]
36Linear OOA(2260, 92, F2, 3, 151) (dual of [(92, 3), 16, 152]-NRT-code) [i]
37Linear OOA(2260, 69, F2, 4, 170) (dual of [(69, 4), 16, 171]-NRT-code) [i]
38Linear OOA(2252, 66, F2, 4, 170) (dual of [(66, 4), 12, 171]-NRT-code) [i]
39Linear OOA(2244, 63, F2, 4, 170) (dual of [(63, 4), 8, 171]-NRT-code) [i]