Information on Result #1091230

Linear OOA(3129, 54, F3, 4, 70) (dual of [(54, 4), 87, 71]-NRT-code), using construction X applied to AG(4;F,117P) ⊂ AG(4;F,131P) based on
  1. linear OOA(3115, 47, F3, 4, 70) (dual of [(47, 4), 73, 71]-NRT-code), using algebraic-geometric NRT-code AG(4;F,117P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48, using
  2. linear OOA(3101, 47, F3, 4, 56) (dual of [(47, 4), 87, 57]-NRT-code), using algebraic-geometric NRT-code AG(4;F,131P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48 (see above)
  3. linear OOA(314, 7, F3, 4, 13) (dual of [(7, 4), 14, 14]-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(3129, 54, F3, 4, 69) (dual of [(54, 4), 87, 70]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(3129, 54, F3, 4, 68) (dual of [(54, 4), 87, 69]-NRT-code) [i]