Information on Result #656195

Linear OA(12818, 194, F128, 14) (dual of [194, 176, 15]-code), using construction X applied to AG(F,176P) ⊂ AG(F,178P) based on
  1. linear OA(12817, 191, F128, 14) (dual of [191, 174, 15]-code), using algebraic-geometric code AG(F,176P) [i] based on function field F/F128 with g(F) = 3 and N(F) ≥ 192, using
  2. linear OA(12815, 191, F128, 12) (dual of [191, 176, 13]-code), using algebraic-geometric code AG(F,178P) [i] based on function field F/F128 with g(F) = 3 and N(F) ≥ 192 (see above)
  3. linear OA(1281, 3, F128, 1) (dual of [3, 2, 2]-code), 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
1OA(6421, 194, S64, 14) [i]Discarding Parts of the Base for OAs
2Linear OA(12851, 388, F128, 29) (dual of [388, 337, 30]-code) [i](u, u+v)-Construction
3Linear OA(12852, 410, F128, 29) (dual of [410, 358, 30]-code) [i]
4Linear OA(12856, 482, F128, 29) (dual of [482, 426, 30]-code) [i]
5Linear OA(12875, 16579, F128, 29) (dual of [16579, 16504, 30]-code) [i]
6Linear OA(12873, 16578, F128, 28) (dual of [16578, 16505, 29]-code) [i]
7Linear OA(12875, 16580, F128, 29) (dual of [16580, 16505, 30]-code) [i]
8Linear OA(12873, 16580, F128, 28) (dual of [16580, 16507, 29]-code) [i]