Information on Result #1038322

Linear OOA(598, 55, F5, 3, 69) (dual of [(55, 3), 67, 70]-NRT-code), using construction X applied to AG(3;F,80P) ⊂ AG(3;F,88P) based on
  1. linear OOA(591, 50, F5, 3, 69) (dual of [(50, 3), 59, 70]-NRT-code), using algebraic-geometric NRT-code AG(3;F,80P) [i] based on function field F/F5 with g(F) = 22 and N(F) ≥ 51, using
  2. linear OOA(583, 50, F5, 3, 61) (dual of [(50, 3), 67, 62]-NRT-code), using algebraic-geometric NRT-code AG(3;F,88P) [i] based on function field F/F5 with g(F) = 22 and N(F) ≥ 51 (see above)
  3. linear OOA(57, 5, F5, 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(598, 55, F5, 3, 68) (dual of [(55, 3), 67, 69]-NRT-code) [i]Strength Reduction for OOAs