Information on Result #1573827

Linear OOA(4221, 133, F4, 3, 133) (dual of [(133, 3), 178, 134]-NRT-code), using construction X applied to AG(3;F,250P) ⊂ AG(3;F,258P) based on
  1. linear OOA(4214, 128, F4, 3, 133) (dual of [(128, 3), 170, 134]-NRT-code), using algebraic-geometric NRT-code AG(3;F,250P) [i] based on function field F/F4 with g(F) = 81 and N(F) ≥ 129, using
  2. linear OOA(4206, 128, F4, 3, 125) (dual of [(128, 3), 178, 126]-NRT-code), using algebraic-geometric NRT-code AG(3;F,258P) [i] based on function field F/F4 with g(F) = 81 and N(F) ≥ 129 (see above)
  3. linear OOA(47, 5, F4, 3, 7) (dual of [(5, 3), 8, 8]-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(4221, 133, F4, 3, 132) (dual of [(133, 3), 178, 133]-NRT-code) [i]Strength Reduction for OOAs