Information on Result #1047520

Linear OOA(389, 46, F3, 3, 47) (dual of [(46, 3), 49, 48]-NRT-code), using construction X applied to AG(3;F,30P) ⊂ AG(3;F,37P) based on
  1. linear OOA(373, 36, F3, 3, 47) (dual of [(36, 3), 35, 48]-NRT-code), using algebraic-geometric NRT-code AG(3;F,30P) 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(359, 36, F3, 3, 33) (dual of [(36, 3), 49, 34]-NRT-code), using algebraic-geometric NRT-code AG(3;F,37P) with degP = 2 [i] based on function field F/F3 with g(F) = 26 and N(F) ≥ 36 (see above)
  3. linear OOA(316, 10, F3, 3, 13) (dual of [(10, 3), 14, 14]-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(389, 46, F3, 3, 46) (dual of [(46, 3), 49, 47]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(390, 46, F3, 3, 47) (dual of [(46, 3), 48, 48]-NRT-code) [i]OOA Duplication
3Linear OOA(389, 23, F3, 5, 47) (dual of [(23, 5), 26, 48]-NRT-code) [i]OOA Folding