Information on Result #622443

Linear OA(1618, 49, F16, 13) (dual of [49, 31, 14]-code), using extended algebraic-geometric code AGe(F,35P) based on function field F/F16 with g(F) = 5 and N(F) ≥ 49, 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(436, 98, F4, 13) (dual of [98, 62, 14]-code) [i]Trace Code
2Linear OA(1672, 563, F16, 27) (dual of [563, 491, 28]-code) [i](u, u+v)-Construction
3Linear OA(1694, 4145, F16, 27) (dual of [4145, 4051, 28]-code) [i]
4Linear OA(16124, 131123, F16, 27) (dual of [131123, 130999, 28]-code) [i]
5Linear OA(1670, 563, F16, 26) (dual of [563, 493, 27]-code) [i]
6Linear OA(1691, 4145, F16, 26) (dual of [4145, 4054, 27]-code) [i]
7Linear OA(16120, 131121, F16, 26) (dual of [131121, 131001, 27]-code) [i]
8Linear OA(16127, 4146, F16, 39) (dual of [4146, 4019, 40]-code) [i]Construction X with Cyclic Codes
9Linear OA(16121, 4146, F16, 37) (dual of [4146, 4025, 38]-code) [i]
10Linear OA(16115, 4146, F16, 35) (dual of [4146, 4031, 36]-code) [i]
11Linear OA(16109, 4146, F16, 33) (dual of [4146, 4037, 34]-code) [i]
12Linear OOA(1618, 24, F16, 2, 13) (dual of [(24, 2), 30, 14]-NRT-code) [i]OOA Folding