Information on Result #1093571

Linear OOA(3227, 67, F3, 4, 141) (dual of [(67, 4), 41, 142]-NRT-code), using construction X applied to AG(4;F,0P) ⊂ AG(4;F,33P) based on
  1. linear OOA(3143, 36, F3, 4, 143) (dual of [(36, 4), 1, 144]-NRT-code), using algebraic-geometric NRT-code AG(4;F,0P) 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(384, 31, F3, 4, 63) (dual of [(31, 4), 40, 64]-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(3227, 67, F3, 4, 140) (dual of [(67, 4), 41, 141]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(3227, 67, F3, 4, 139) (dual of [(67, 4), 41, 140]-NRT-code) [i]
3Linear OOA(3227, 67, F3, 4, 138) (dual of [(67, 4), 41, 139]-NRT-code) [i]
4Linear OOA(3222, 65, F3, 4, 136) (dual of [(65, 4), 38, 137]-NRT-code) [i]Truncation for OOAs
5Linear OOA(3221, 65, F3, 4, 135) (dual of [(65, 4), 39, 136]-NRT-code) [i]
6Linear OOA(3220, 65, F3, 4, 134) (dual of [(65, 4), 40, 135]-NRT-code) [i]