Information on Result #1039241

Linear OOA(5119, 80, F5, 3, 77) (dual of [(80, 3), 121, 78]-NRT-code), using construction X applied to AG(3;F,153P) ⊂ AG(3;F,158P) based on
  1. linear OOA(5115, 77, F5, 3, 77) (dual of [(77, 3), 116, 78]-NRT-code), using algebraic-geometric NRT-code AG(3;F,153P) [i] based on function field F/F5 with g(F) = 38 and N(F) ≥ 78, using
  2. linear OOA(5110, 77, F5, 3, 72) (dual of [(77, 3), 121, 73]-NRT-code), using algebraic-geometric NRT-code AG(3;F,158P) [i] based on function field F/F5 with g(F) = 38 and N(F) ≥ 78 (see above)
  3. linear OOA(54, 3, F5, 3, 4) (dual of [(3, 3), 5, 5]-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(5119, 80, F5, 3, 76) (dual of [(80, 3), 121, 77]-NRT-code) [i]Strength Reduction for OOAs