Information on Result #1091861

Linear OOA(3220, 66, F3, 4, 133) (dual of [(66, 4), 44, 134]-NRT-code), using construction X applied to AG(4;F,54P) ⊂ AG(4;F,88P) based on
  1. linear OOA(3178, 47, F3, 4, 133) (dual of [(47, 4), 10, 134]-NRT-code), using algebraic-geometric NRT-code AG(4;F,54P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48, using
  2. linear OOA(3144, 47, F3, 4, 99) (dual of [(47, 4), 44, 100]-NRT-code), using algebraic-geometric NRT-code AG(4;F,88P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48 (see above)
  3. linear OOA(342, 19, F3, 4, 33) (dual of [(19, 4), 34, 34]-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(3220, 66, F3, 4, 132) (dual of [(66, 4), 44, 133]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(3220, 66, F3, 4, 131) (dual of [(66, 4), 44, 132]-NRT-code) [i]