Information on Result #1030737

Linear OOA(376, 30, F3, 3, 57) (dual of [(30, 3), 14, 58]-NRT-code), using construction X applied to AG(3;F,23P) ⊂ AG(3;F,28P) based on
  1. linear OOA(372, 27, F3, 3, 57) (dual of [(27, 3), 9, 58]-NRT-code), using algebraic-geometric NRT-code AG(3;F,23P) [i] based on function field F/F3 with g(F) = 15 and N(F) ≥ 28, using
  2. linear OOA(367, 27, F3, 3, 52) (dual of [(27, 3), 14, 53]-NRT-code), using algebraic-geometric NRT-code AG(3;F,28P) [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(376, 30, F3, 3, 56) (dual of [(30, 3), 14, 57]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(3119, 58, F3, 3, 57) (dual of [(58, 3), 55, 58]-NRT-code) [i](u, u+v)-Construction for OOAs
3Linear OOA(3160, 58, F3, 3, 113) (dual of [(58, 3), 14, 114]-NRT-code) [i]Juxtaposition for OOAs