Information on Result #1031450

Linear OOA(3126, 50, F3, 3, 77) (dual of [(50, 3), 24, 78]-NRT-code), using construction X applied to AG(3;F,63P) ⊂ AG(3;F,68P) based on
  1. linear OOA(3122, 47, F3, 3, 77) (dual of [(47, 3), 19, 78]-NRT-code), using algebraic-geometric NRT-code AG(3;F,63P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48, using
  2. linear OOA(3117, 47, F3, 3, 72) (dual of [(47, 3), 24, 73]-NRT-code), using algebraic-geometric NRT-code AG(3;F,68P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48 (see above)
  3. linear OOA(34, 3, F3, 3, 4) (dual of [(3, 3), 5, 5]-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(3126, 50, F3, 3, 76) (dual of [(50, 3), 24, 77]-NRT-code) [i]Strength Reduction for OOAs