Information on Result #1032251

Linear OOA(454, 37, F4, 3, 32) (dual of [(37, 3), 57, 33]-NRT-code), using construction X applied to AG(3;F,63P) ⊂ AG(3;F,71P) based on
  1. linear OOA(447, 32, F4, 3, 32) (dual of [(32, 3), 49, 33]-NRT-code), using algebraic-geometric NRT-code AG(3;F,63P) [i] based on function field F/F4 with g(F) = 15 and N(F) ≥ 33, using
  2. linear OOA(439, 32, F4, 3, 24) (dual of [(32, 3), 57, 25]-NRT-code), using algebraic-geometric NRT-code AG(3;F,71P) [i] based on function field F/F4 with g(F) = 15 and N(F) ≥ 33 (see above)
  3. linear OOA(47, 5, F4, 3, 7) (dual of [(5, 3), 8, 8]-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(454, 37, F4, 3, 31) (dual of [(37, 3), 57, 32]-NRT-code) [i]Strength Reduction for OOAs