Information on Result #1091384

Linear OOA(3167, 57, F3, 4, 101) (dual of [(57, 4), 61, 102]-NRT-code), using construction X applied to AG(4;F,86P) ⊂ AG(4;F,105P) based on
  1. linear OOA(3146, 47, F3, 4, 101) (dual of [(47, 4), 42, 102]-NRT-code), using algebraic-geometric NRT-code AG(4;F,86P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48, using
  2. linear OOA(3127, 47, F3, 4, 82) (dual of [(47, 4), 61, 83]-NRT-code), using algebraic-geometric NRT-code AG(4;F,105P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48 (see above)
  3. linear OOA(321, 10, F3, 4, 18) (dual of [(10, 4), 19, 19]-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(3167, 57, F3, 4, 100) (dual of [(57, 4), 61, 101]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(3167, 57, F3, 4, 99) (dual of [(57, 4), 61, 100]-NRT-code) [i]