Information on Result #1092086

Linear OOA(3213, 71, F3, 4, 114) (dual of [(71, 4), 71, 115]-NRT-code), using construction X applied to AG(4;F,73P) ⊂ AG(4;F,115P) based on
  1. linear OOA(3159, 47, F3, 4, 114) (dual of [(47, 4), 29, 115]-NRT-code), using algebraic-geometric NRT-code AG(4;F,73P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48, using
  2. linear OOA(3117, 47, F3, 4, 72) (dual of [(47, 4), 71, 73]-NRT-code), using algebraic-geometric NRT-code AG(4;F,115P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48 (see above)
  3. linear OOA(354, 24, F3, 4, 41) (dual of [(24, 4), 42, 42]-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(3213, 71, F3, 4, 113) (dual of [(71, 4), 71, 114]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(3213, 71, F3, 4, 112) (dual of [(71, 4), 71, 113]-NRT-code) [i]