Information on Result #1093255

Linear OOA(388, 39, F3, 4, 55) (dual of [(39, 4), 68, 56]-NRT-code), using construction X applied to AG(4;F,44P) ⊂ AG(4;F,48P) based on
  1. linear OOA(381, 36, F3, 4, 55) (dual of [(36, 4), 63, 56]-NRT-code), using algebraic-geometric NRT-code AG(4;F,44P) with degP = 2 [i] based on function field F/F3 with g(F) = 26 and N(F) ≥ 36, using an explicitly constructive algebraic function field [i]
  2. linear OOA(373, 36, F3, 4, 47) (dual of [(36, 4), 71, 48]-NRT-code), using algebraic-geometric NRT-code AG(4;F,48P) with degP = 2 [i] based on function field F/F3 with g(F) = 26 and N(F) ≥ 36 (see above)
  3. linear OOA(37, 3, F3, 4, 7) (dual of [(3, 4), 5, 8]-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(3243, 87, F3, 4, 110) (dual of [(87, 4), 105, 111]-NRT-code) [i](u, u+v)-Construction for OOAs
2Linear OOA(3244, 87, F3, 4, 111) (dual of [(87, 4), 104, 112]-NRT-code) [i]