Information on Result #1125837

Linear OOA(3167, 50, F3, 5, 115) (dual of [(50, 5), 83, 116]-NRT-code), using construction X applied to AG(5;F,119P) ⊂ AG(5;F,127P) based on
  1. linear OOA(3160, 47, F3, 5, 115) (dual of [(47, 5), 75, 116]-NRT-code), using algebraic-geometric NRT-code AG(5;F,119P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48, using
  2. linear OOA(3152, 47, F3, 5, 107) (dual of [(47, 5), 83, 108]-NRT-code), using algebraic-geometric NRT-code AG(5;F,127P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48 (see above)
  3. linear OOA(37, 3, F3, 5, 7) (dual of [(3, 5), 8, 8]-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(3167, 50, F3, 5, 114) (dual of [(50, 5), 83, 115]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(3167, 50, F3, 5, 113) (dual of [(50, 5), 83, 114]-NRT-code) [i]