Information on Result #1089782

Linear OOA(3125, 34, F3, 4, 100) (dual of [(34, 4), 11, 101]-NRT-code), using construction X applied to AG(4;F,0P) ⊂ AG(4;F,25P) based on
  1. linear OOA(3107, 27, F3, 4, 107) (dual of [(27, 4), 1, 108]-NRT-code), using algebraic-geometric NRT-code AG(4;F,0P) [i] based on function field F/F3 with g(F) = 15 and N(F) ≥ 28, using
  2. linear OOA(397, 27, F3, 4, 82) (dual of [(27, 4), 11, 83]-NRT-code), using algebraic-geometric NRT-code AG(4;F,25P) [i] based on function field F/F3 with g(F) = 15 and N(F) ≥ 28 (see above)
  3. linear OOA(318, 7, F3, 4, 17) (dual of [(7, 4), 10, 18]-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(3121, 33, F3, 4, 96) (dual of [(33, 4), 11, 97]-NRT-code) [i]Truncation for OOAs
2Linear OOA(3237, 62, F3, 4, 187) (dual of [(62, 4), 11, 188]-NRT-code) [i]Juxtaposition for OOAs