Information on Result #1090901

Linear OOA(3125, 50, F3, 4, 74) (dual of [(50, 4), 75, 75]-NRT-code), using construction X applied to AG(4;F,113P) ⊂ AG(4;F,120P) based on
  1. linear OOA(3119, 47, F3, 4, 74) (dual of [(47, 4), 69, 75]-NRT-code), using algebraic-geometric NRT-code AG(4;F,113P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48, using
  2. linear OOA(3112, 47, F3, 4, 67) (dual of [(47, 4), 76, 68]-NRT-code), using algebraic-geometric NRT-code AG(4;F,120P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48 (see above)
  3. linear OOA(36, 3, F3, 4, 6) (dual of [(3, 4), 6, 7]-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(3125, 50, F3, 4, 73) (dual of [(50, 4), 75, 74]-NRT-code) [i]Strength Reduction for OOAs