Information on Result #1032460

Linear OOA(4101, 42, F4, 3, 70) (dual of [(42, 3), 25, 71]-NRT-code), using construction X applied to AG(3;F,25P) ⊂ AG(3;F,40P) based on
  1. linear OOA(485, 32, F4, 3, 70) (dual of [(32, 3), 11, 71]-NRT-code), using algebraic-geometric NRT-code AG(3;F,25P) [i] based on function field F/F4 with g(F) = 15 and N(F) ≥ 33, using
  2. linear OOA(470, 32, F4, 3, 55) (dual of [(32, 3), 26, 56]-NRT-code), using algebraic-geometric NRT-code AG(3;F,40P) [i] based on function field F/F4 with g(F) = 15 and N(F) ≥ 33 (see above)
  3. linear OOA(416, 10, F4, 3, 14) (dual of [(10, 3), 14, 15]-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(4101, 42, F4, 3, 69) (dual of [(42, 3), 25, 70]-NRT-code) [i]Strength Reduction for OOAs