Information on Result #1617597

Linear OOA(3177, 70, F3, 4, 114) (dual of [(70, 4), 103, 115]-NRT-code), using construction X applied to AG(4;F,137P) ⊂ AG(4;F,151P) based on
  1. linear OOA(3163, 63, F3, 4, 114) (dual of [(63, 4), 89, 115]-NRT-code), using algebraic-geometric NRT-code AG(4;F,137P) [i] based on function field F/F3 with g(F) = 49 and N(F) ≥ 64, using
  2. linear OOA(3149, 63, F3, 4, 100) (dual of [(63, 4), 103, 101]-NRT-code), using algebraic-geometric NRT-code AG(4;F,151P) [i] based on function field F/F3 with g(F) = 49 and N(F) ≥ 64 (see above)
  3. linear OOA(314, 7, F3, 4, 13) (dual of [(7, 4), 14, 14]-NRT-code), using

Mode: 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(3177, 70, F3, 4, 113) (dual of [(70, 4), 103, 114]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(3177, 70, F3, 4, 112) (dual of [(70, 4), 103, 113]-NRT-code) [i]