Information on Result #1125977

Linear OOA(3220, 51, F3, 5, 165) (dual of [(51, 5), 35, 166]-NRT-code), using construction X applied to AG(5;F,69P) ⊂ AG(5;F,80P) based on
  1. linear OOA(3210, 47, F3, 5, 165) (dual of [(47, 5), 25, 166]-NRT-code), using algebraic-geometric NRT-code AG(5;F,69P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48, using
  2. linear OOA(3199, 47, F3, 5, 154) (dual of [(47, 5), 36, 155]-NRT-code), using algebraic-geometric NRT-code AG(5;F,80P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48 (see above)
  3. linear OOA(310, 4, F3, 5, 10) (dual of [(4, 5), 10, 11]-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(3220, 51, F3, 5, 164) (dual of [(51, 5), 35, 165]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(3220, 51, F3, 5, 163) (dual of [(51, 5), 35, 164]-NRT-code) [i]