Information on Result #1032114

Linear OOA(456, 35, F4, 3, 37) (dual of [(35, 3), 49, 38]-NRT-code), using construction X applied to AG(3;F,58P) ⊂ AG(3;F,63P) based on
  1. linear OOA(452, 32, F4, 3, 37) (dual of [(32, 3), 44, 38]-NRT-code), using algebraic-geometric NRT-code AG(3;F,58P) [i] based on function field F/F4 with g(F) = 15 and N(F) ≥ 33, using
  2. linear OOA(447, 32, F4, 3, 32) (dual of [(32, 3), 49, 33]-NRT-code), using algebraic-geometric NRT-code AG(3;F,63P) [i] based on function field F/F4 with g(F) = 15 and N(F) ≥ 33 (see above)
  3. linear OOA(44, 3, F4, 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(456, 35, F4, 3, 36) (dual of [(35, 3), 49, 37]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(2112, 70, F2, 3, 37) (dual of [(70, 3), 98, 38]-NRT-code) [i]Trace Code for OOAs
3Linear OOA(4216, 165, F4, 3, 74) (dual of [(165, 3), 279, 75]-NRT-code) [i](u, u+v)-Construction for OOAs
4Linear OOA(4218, 165, F4, 3, 75) (dual of [(165, 3), 277, 76]-NRT-code) [i]