Information on Result #1037469

Linear OOA(4212, 144, F4, 3, 83) (dual of [(144, 3), 220, 84]-NRT-code), using construction X applied to AG(3;F,303P) ⊂ AG(3;F,324P) based on
  1. linear OOA(4188, 129, F4, 3, 83) (dual of [(129, 3), 199, 84]-NRT-code), using algebraic-geometric NRT-code AG(3;F,303P) [i] based on function field F/F4 with g(F) = 105 and N(F) ≥ 130, using
  2. linear OOA(4167, 129, F4, 3, 62) (dual of [(129, 3), 220, 63]-NRT-code), using algebraic-geometric NRT-code AG(3;F,324P) [i] based on function field F/F4 with g(F) = 105 and N(F) ≥ 130 (see above)
  3. linear OOA(424, 15, F4, 3, 20) (dual of [(15, 3), 21, 21]-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(4212, 144, F4, 3, 82) (dual of [(144, 3), 220, 83]-NRT-code) [i]Strength Reduction for OOAs