Information on Result #1090199

Linear OOA(3213, 63, F3, 4, 135) (dual of [(63, 4), 39, 136]-NRT-code), using construction X applied to AG(4;F,0P) ⊂ AG(4;F,64P) 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(3101, 35, F3, 4, 75) (dual of [(35, 4), 39, 76]-NRT-code), using algebraic-geometric NRT-code AG(4;F,64P) [i] based on function field F/F3 with g(F) = 26 and N(F) ≥ 36 (see above)
  3. linear OOA(374, 28, F3, 4, 59) (dual of [(28, 4), 38, 60]-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, 63, F3, 4, 134) (dual of [(63, 4), 39, 135]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(3213, 63, F3, 4, 133) (dual of [(63, 4), 39, 134]-NRT-code) [i]
3Linear OOA(3213, 63, F3, 4, 132) (dual of [(63, 4), 39, 133]-NRT-code) [i]