Information on Result #622348

Linear OA(169, 24, F16, 8) (dual of [24, 15, 9]-code), using extended algebraic-geometric code AGe(F,15P) 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(1643, 538, F16, 17) (dual of [538, 495, 18]-code) [i](u, u+v)-Construction
2Linear OA(1655, 4120, F16, 17) (dual of [4120, 4065, 18]-code) [i]
3Linear OA(1675, 131098, F16, 17) (dual of [131098, 131023, 18]-code) [i]
4Linear OA(1685, 1048600, F16, 17) (dual of [1048600, 1048515, 18]-code) [i]
5Linear OA(1641, 538, F16, 16) (dual of [538, 497, 17]-code) [i]
6Linear OA(1671, 131096, F16, 16) (dual of [131096, 131025, 17]-code) [i]
7Linear OA(1674, 89, F16, 53) (dual of [89, 15, 54]-code) [i]Juxtaposition
8Linear OA(1674, 88, F16, 54) (dual of [88, 14, 55]-code) [i]
9Linear OA(1674, 87, F16, 55) (dual of [87, 13, 56]-code) [i]
10Linear OA(1674, 84, F16, 58) (dual of [84, 10, 59]-code) [i]
11Linear OOA(284, 72, F2, 2, 26) (dual of [(72, 2), 60, 27]-NRT-code) [i]Concatenation of Two NRT-Codes
12Linear OOA(280, 66, F2, 2, 26) (dual of [(66, 2), 52, 27]-NRT-code) [i]
13Linear OOA(276, 60, F2, 2, 26) (dual of [(60, 2), 44, 27]-NRT-code) [i]
14Linear OOA(274, 57, F2, 2, 26) (dual of [(57, 2), 40, 27]-NRT-code) [i]
15Linear OOA(2131, 57, F2, 3, 53) (dual of [(57, 3), 40, 54]-NRT-code) [i]
16Linear OA(1690, 1048617, F16, 17) (dual of [1048617, 1048527, 18]-code) [i](u, u−v, u+v+w)-Construction
17Linear OA(16122, 281, F16, 62) (dual of [281, 159, 63]-code) [i]Construction X with Cyclic Codes
18Linear OA(1699, 277, F16, 53) (dual of [277, 178, 54]-code) [i]Construction XX with Cyclic Codes
19Linear OA(16101, 277, F16, 54) (dual of [277, 176, 55]-code) [i]
20Linear OA(16103, 277, F16, 55) (dual of [277, 174, 56]-code) [i]
21Linear OA(16105, 277, F16, 56) (dual of [277, 172, 57]-code) [i]
22Linear OA(16121, 275, F16, 68) (dual of [275, 154, 69]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
23Linear OA(16105, 276, F16, 56) (dual of [276, 171, 57]-code) [i]
24Linear OA(16103, 276, F16, 55) (dual of [276, 173, 56]-code) [i]
25Linear OA(16101, 276, F16, 54) (dual of [276, 175, 55]-code) [i]
26Linear OA(1699, 276, F16, 53) (dual of [276, 177, 54]-code) [i]
27Linear OA(1697, 276, F16, 52) (dual of [276, 179, 53]-code) [i]
28Linear OA(1696, 277, F16, 51) (dual of [277, 181, 52]-code) [i]
29Linear OA(16121, 280, F16, 65) (dual of [280, 159, 66]-code) [i]
30Linear OA(1696, 280, F16, 49) (dual of [280, 184, 50]-code) [i]
31Linear OA(16122, 281, F16, 66) (dual of [281, 159, 67]-code) [i]Construction XX with a Chain of Extended Narrow-Sense BCH Codes
32Linear OA(1697, 281, F16, 50) (dual of [281, 184, 51]-code) [i]