Information on Result #622414

Linear OA(1617, 45, F16, 13) (dual of [45, 28, 14]-code), using extended algebraic-geometric code AGe(F,31P) based on function field F/F16 with g(F) = 4 and N(F) ≥ 45, 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(434, 90, F4, 13) (dual of [90, 56, 14]-code) [i]Trace Code
2Linear OA(1671, 559, F16, 27) (dual of [559, 488, 28]-code) [i](u, u+v)-Construction
3Linear OA(1693, 4141, F16, 27) (dual of [4141, 4048, 28]-code) [i]
4Linear OA(16123, 131119, F16, 27) (dual of [131119, 130996, 28]-code) [i]
5Linear OA(1669, 559, F16, 26) (dual of [559, 490, 27]-code) [i]
6Linear OA(1690, 4141, F16, 26) (dual of [4141, 4051, 27]-code) [i]
7Linear OA(16119, 131117, F16, 26) (dual of [131117, 130998, 27]-code) [i]
8Linear OA(1682, 107, F16, 48) (dual of [107, 25, 49]-code) [i]Juxtaposition
9Linear OA(1682, 106, F16, 49) (dual of [106, 24, 50]-code) [i]
10Linear OA(1682, 105, F16, 50) (dual of [105, 23, 51]-code) [i]
11Linear OOA(1617, 22, F16, 2, 13) (dual of [(22, 2), 27, 14]-NRT-code) [i]OOA Folding