Information on Result #1093457

Linear OOA(3131, 43, F3, 4, 91) (dual of [(43, 4), 41, 92]-NRT-code), using construction X applied to AG(4;F,26P) ⊂ AG(4;F,33P) based on
  1. linear OOA(3117, 36, F3, 4, 91) (dual of [(36, 4), 27, 92]-NRT-code), using algebraic-geometric NRT-code AG(4;F,26P) 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(3103, 36, F3, 4, 77) (dual of [(36, 4), 41, 78]-NRT-code), using algebraic-geometric NRT-code AG(4;F,33P) with degP = 2 [i] based on function field F/F3 with g(F) = 26 and N(F) ≥ 36 (see above)
  3. linear OOA(314, 7, F3, 4, 13) (dual of [(7, 4), 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(3131, 43, F3, 4, 90) (dual of [(43, 4), 41, 91]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(3132, 43, F3, 4, 91) (dual of [(43, 4), 40, 92]-NRT-code) [i]OOA Duplication