Information on Result #1093318

Linear OOA(3129, 40, F3, 4, 94) (dual of [(40, 4), 31, 95]-NRT-code), using construction X applied to AG(4;F,24P) ⊂ AG(4;F,29P) based on
  1. linear OOA(3121, 36, F3, 4, 95) (dual of [(36, 4), 23, 96]-NRT-code), using algebraic-geometric NRT-code AG(4;F,24P) with degP = 2 [i] based on function field F/F3 with g(F) = 26 and N(F) ≥ 36, using an explicitly constructive algebraic function field [i]
  2. linear OOA(3111, 36, F3, 4, 85) (dual of [(36, 4), 33, 86]-NRT-code), using algebraic-geometric NRT-code AG(4;F,29P) with degP = 2 [i] based on function field F/F3 with g(F) = 26 and N(F) ≥ 36 (see above)
  3. linear OOA(38, 4, F3, 4, 8) (dual of [(4, 4), 8, 9]-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(3203, 77, F3, 4, 94) (dual of [(77, 4), 105, 95]-NRT-code) [i](u, u+v)-Construction for OOAs