Information on Result #1569307

Linear OOA(3178, 66, F3, 3, 125) (dual of [(66, 3), 20, 126]-NRT-code), using construction X applied to AG(3;F,63P) ⊂ AG(3;F,68P) based on
  1. linear OOA(3174, 63, F3, 3, 125) (dual of [(63, 3), 15, 126]-NRT-code), using algebraic-geometric NRT-code AG(3;F,63P) [i] based on function field F/F3 with g(F) = 49 and N(F) ≥ 64, using
  2. linear OOA(3169, 63, F3, 3, 120) (dual of [(63, 3), 20, 121]-NRT-code), using algebraic-geometric NRT-code AG(3;F,68P) [i] based on function field F/F3 with g(F) = 49 and N(F) ≥ 64 (see above)
  3. linear OOA(34, 3, F3, 3, 4) (dual of [(3, 3), 5, 5]-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(3178, 66, F3, 3, 124) (dual of [(66, 3), 20, 125]-NRT-code) [i]Strength Reduction for OOAs