Information on Result #1030730

Linear OOA(379, 30, F3, 3, 60) (dual of [(30, 3), 11, 61]-NRT-code), using construction X applied to AG(3;F,20P) ⊂ AG(3;F,25P) based on
  1. linear OOA(375, 27, F3, 3, 60) (dual of [(27, 3), 6, 61]-NRT-code), using algebraic-geometric NRT-code AG(3;F,20P) [i] based on function field F/F3 with g(F) = 15 and N(F) ≥ 28, using
  2. linear OOA(370, 27, F3, 3, 55) (dual of [(27, 3), 11, 56]-NRT-code), using algebraic-geometric NRT-code AG(3;F,25P) [i] based on function field F/F3 with g(F) = 15 and N(F) ≥ 28 (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(379, 30, F3, 3, 59) (dual of [(30, 3), 11, 60]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(3163, 58, F3, 3, 119) (dual of [(58, 3), 11, 120]-NRT-code) [i]Juxtaposition for OOAs