Information on Result #1617547

Linear OOA(3227, 70, F3, 4, 164) (dual of [(70, 4), 53, 165]-NRT-code), using construction X applied to AG(4;F,87P) ⊂ AG(4;F,101P) based on
  1. linear OOA(3213, 63, F3, 4, 164) (dual of [(63, 4), 39, 165]-NRT-code), using algebraic-geometric NRT-code AG(4;F,87P) [i] based on function field F/F3 with g(F) = 49 and N(F) ≥ 64, using
  2. linear OOA(3199, 63, F3, 4, 150) (dual of [(63, 4), 53, 151]-NRT-code), using algebraic-geometric NRT-code AG(4;F,101P) [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(3227, 70, F3, 4, 163) (dual of [(70, 4), 53, 164]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(3227, 70, F3, 4, 162) (dual of [(70, 4), 53, 163]-NRT-code) [i]