Information on Result #656679

Linear OA(12854, 296, F128, 41) (dual of [296, 242, 42]-code), using construction X applied to AG(F,245P) ⊂ AG(F,250P) based on
  1. linear OA(12850, 287, F128, 41) (dual of [287, 237, 42]-code), using algebraic-geometric code AG(F,245P) [i] based on function field F/F128 with g(F) = 9 and N(F) ≥ 288, using
  2. linear OA(12845, 287, F128, 36) (dual of [287, 242, 37]-code), using algebraic-geometric code AG(F,250P) [i] based on function field F/F128 with g(F) = 9 and N(F) ≥ 288 (see above)
  3. linear OA(1284, 9, F128, 4) (dual of [9, 5, 5]-code or 9-arc in PG(3,128)), 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(6463, 296, S64, 41) [i]Discarding Parts of the Base for OAs
2Linear OOA(12854, 148, F128, 2, 41) (dual of [(148, 2), 242, 42]-NRT-code) [i]OOA Folding