Information on Result #1039726

Linear OOA(5109, 87, F5, 3, 56) (dual of [(87, 3), 152, 57]-NRT-code), using construction X applied to AG(3;F,174P) ⊂ AG(3;F,189P) based on
  1. linear OOA(594, 77, F5, 3, 56) (dual of [(77, 3), 137, 57]-NRT-code), using algebraic-geometric NRT-code AG(3;F,174P) [i] based on function field F/F5 with g(F) = 38 and N(F) ≥ 78, using
  2. linear OOA(579, 77, F5, 3, 41) (dual of [(77, 3), 152, 42]-NRT-code), using algebraic-geometric NRT-code AG(3;F,189P) [i] based on function field F/F5 with g(F) = 38 and N(F) ≥ 78 (see above)
  3. linear OOA(515, 10, F5, 3, 14) (dual of [(10, 3), 15, 15]-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(5109, 87, F5, 3, 55) (dual of [(87, 3), 152, 56]-NRT-code) [i]Strength Reduction for OOAs