Information on Result #622364

Linear OA(1611, 33, F16, 9) (dual of [33, 22, 10]-code), using extended algebraic-geometric code AGe(F,23P) based on function field F/F16 with g(F) = 2 and N(F) ≥ 33, 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(1649, 547, F16, 19) (dual of [547, 498, 20]-code) [i](u, u+v)-Construction
2Linear OA(1663, 4129, F16, 19) (dual of [4129, 4066, 20]-code) [i]
3Linear OA(1685, 131107, F16, 19) (dual of [131107, 131022, 20]-code) [i]
4Linear OA(1697, 1048609, F16, 19) (dual of [1048609, 1048512, 20]-code) [i]
5Linear OA(1647, 547, F16, 18) (dual of [547, 500, 19]-code) [i]
6Linear OA(1660, 4129, F16, 18) (dual of [4129, 4069, 19]-code) [i]
7Linear OA(1692, 1048609, F16, 18) (dual of [1048609, 1048517, 19]-code) [i]
8Linear OA(1663, 4132, F16, 19) (dual of [4132, 4069, 20]-code) [i]
9Linear OA(1660, 4132, F16, 18) (dual of [4132, 4072, 19]-code) [i]
10Linear OA(1676, 98, F16, 47) (dual of [98, 22, 48]-code) [i]Juxtaposition
11Linear OA(1676, 97, F16, 48) (dual of [97, 21, 49]-code) [i]
12Linear OA(1676, 96, F16, 49) (dual of [96, 20, 50]-code) [i]
13Linear OA(1676, 95, F16, 50) (dual of [95, 19, 51]-code) [i]
14Linear OA(1676, 94, F16, 51) (dual of [94, 18, 52]-code) [i]
15Linear OA(1676, 93, F16, 52) (dual of [93, 17, 53]-code) [i]
16Linear OA(1676, 92, F16, 53) (dual of [92, 16, 54]-code) [i]
17Linear OA(1676, 91, F16, 54) (dual of [91, 15, 55]-code) [i]
18Linear OA(16120, 4130, F16, 39) (dual of [4130, 4010, 40]-code) [i]Construction X with Cyclic Codes
19Linear OA(16114, 4130, F16, 37) (dual of [4130, 4016, 38]-code) [i]
20Linear OA(16108, 4130, F16, 35) (dual of [4130, 4022, 36]-code) [i]
21Linear OA(16102, 4130, F16, 33) (dual of [4130, 4028, 34]-code) [i]
22Linear OA(16122, 290, F16, 63) (dual of [290, 168, 64]-code) [i]Construction XX with Cyclic Codes
23Linear OA(16121, 288, F16, 63) (dual of [288, 167, 64]-code) [i]
24Linear OA(16123, 292, F16, 63) (dual of [292, 169, 64]-code) [i]
25Linear OA(16125, 293, F16, 64) (dual of [293, 168, 65]-code) [i]
26Linear OA(16124, 291, F16, 64) (dual of [291, 167, 65]-code) [i]
27Linear OA(16123, 288, F16, 64) (dual of [288, 165, 65]-code) [i]
28Linear OA(16126, 295, F16, 64) (dual of [295, 169, 65]-code) [i]
29Linear OA(16121, 287, F16, 63) (dual of [287, 166, 64]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
30Linear OA(16119, 287, F16, 62) (dual of [287, 168, 63]-code) [i]
31Linear OA(16117, 286, F16, 61) (dual of [286, 169, 62]-code) [i]
32Linear OA(16121, 291, F16, 61) (dual of [291, 170, 62]-code) [i]Construction XX with a Chain of Extended Narrow-Sense BCH Codes