Information on Result #1040417

Linear OOA(8100, 68, F8, 3, 80) (dual of [(68, 3), 104, 81]-NRT-code), using construction X applied to AG(3;F,111P) ⊂ AG(3;F,118P) based on
  1. linear OOA(894, 64, F8, 3, 80) (dual of [(64, 3), 98, 81]-NRT-code), using algebraic-geometric NRT-code AG(3;F,111P) [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65, using
  2. linear OOA(887, 64, F8, 3, 73) (dual of [(64, 3), 105, 74]-NRT-code), using algebraic-geometric NRT-code AG(3;F,118P) [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65 (see above)
  3. linear OOA(86, 4, F8, 3, 6) (dual of [(4, 3), 6, 7]-NRT-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
1Linear OOA(8154, 133, F8, 3, 80) (dual of [(133, 3), 245, 81]-NRT-code) [i](u, u+v)-Construction for OOAs
2Linear OOA(8158, 135, F8, 3, 80) (dual of [(135, 3), 247, 81]-NRT-code) [i]
3Linear OOA(8160, 136, F8, 3, 80) (dual of [(136, 3), 248, 81]-NRT-code) [i]