Information on Result #1091882

Linear OOA(3199, 66, F3, 4, 112) (dual of [(66, 4), 65, 113]-NRT-code), using construction X applied to AG(4;F,75P) ⊂ AG(4;F,109P) based on
  1. linear OOA(3157, 47, F3, 4, 112) (dual of [(47, 4), 31, 113]-NRT-code), using algebraic-geometric NRT-code AG(4;F,75P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48, using
  2. linear OOA(3123, 47, F3, 4, 78) (dual of [(47, 4), 65, 79]-NRT-code), using algebraic-geometric NRT-code AG(4;F,109P) [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(3199, 66, F3, 4, 111) (dual of [(66, 4), 65, 112]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(3199, 66, F3, 4, 110) (dual of [(66, 4), 65, 111]-NRT-code) [i]