Information on Result #1038309

Linear OOA(5111, 55, F5, 3, 82) (dual of [(55, 3), 54, 83]-NRT-code), using construction X applied to AG(3;F,67P) ⊂ AG(3;F,75P) based on
  1. linear OOA(5104, 50, F5, 3, 82) (dual of [(50, 3), 46, 83]-NRT-code), using algebraic-geometric NRT-code AG(3;F,67P) [i] based on function field F/F5 with g(F) = 22 and N(F) ≥ 51, using
  2. linear OOA(596, 50, F5, 3, 74) (dual of [(50, 3), 54, 75]-NRT-code), using algebraic-geometric NRT-code AG(3;F,75P) [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(5111, 55, F5, 3, 81) (dual of [(55, 3), 54, 82]-NRT-code) [i]Strength Reduction for OOAs