Information on Result #1125981

Linear OOA(3216, 51, F3, 5, 161) (dual of [(51, 5), 39, 162]-NRT-code), using construction X applied to AG(5;F,73P) ⊂ AG(5;F,84P) based on
  1. linear OOA(3206, 47, F3, 5, 161) (dual of [(47, 5), 29, 162]-NRT-code), using algebraic-geometric NRT-code AG(5;F,73P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48, using
  2. linear OOA(3195, 47, F3, 5, 150) (dual of [(47, 5), 40, 151]-NRT-code), using algebraic-geometric NRT-code AG(5;F,84P) [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(3216, 51, F3, 5, 160) (dual of [(51, 5), 39, 161]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(3216, 51, F3, 5, 159) (dual of [(51, 5), 39, 160]-NRT-code) [i]