Information on Result #1090216

Linear OOA(3224, 66, F3, 4, 139) (dual of [(66, 4), 40, 140]-NRT-code), using construction X applied to AG(4;F,0P) ⊂ AG(4;F,65P) based on
  1. linear OOA(3139, 35, F3, 4, 139) (dual of [(35, 4), 1, 140]-NRT-code), using algebraic-geometric NRT-code AG(4;F,0P) [i] based on function field F/F3 with g(F) = 26 and N(F) ≥ 36, using
  2. linear OOA(3100, 35, F3, 4, 74) (dual of [(35, 4), 40, 75]-NRT-code), using algebraic-geometric NRT-code AG(4;F,65P) [i] based on function field F/F3 with g(F) = 26 and N(F) ≥ 36 (see above)
  3. linear OOA(385, 31, F3, 4, 64) (dual of [(31, 4), 39, 65]-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(3224, 66, F3, 4, 138) (dual of [(66, 4), 40, 139]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(3224, 66, F3, 4, 137) (dual of [(66, 4), 40, 138]-NRT-code) [i]
3Linear OOA(3224, 66, F3, 4, 136) (dual of [(66, 4), 40, 137]-NRT-code) [i]
4Linear OOA(3223, 65, F3, 4, 138) (dual of [(65, 4), 37, 139]-NRT-code) [i]Truncation for OOAs
5Linear OOA(3222, 65, F3, 4, 137) (dual of [(65, 4), 38, 138]-NRT-code) [i]
6Linear OOA(3221, 65, F3, 4, 136) (dual of [(65, 4), 39, 137]-NRT-code) [i]
7Linear OOA(3220, 65, F3, 4, 135) (dual of [(65, 4), 40, 136]-NRT-code) [i]