Information on Result #1040036

Linear OOA(5139, 97, F5, 3, 69) (dual of [(97, 3), 152, 70]-NRT-code), using construction X applied to AG(3;F,161P) ⊂ AG(3;F,189P) based on
  1. linear OOA(5107, 77, F5, 3, 69) (dual of [(77, 3), 124, 70]-NRT-code), using algebraic-geometric NRT-code AG(3;F,161P) [i] based on function field F/F5 with g(F) = 38 and N(F) ≥ 78, using
  2. linear OOA(579, 77, F5, 3, 41) (dual of [(77, 3), 152, 42]-NRT-code), using algebraic-geometric NRT-code AG(3;F,189P) [i] based on function field F/F5 with g(F) = 38 and N(F) ≥ 78 (see above)
  3. linear OOA(532, 20, F5, 3, 27) (dual of [(20, 3), 28, 28]-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(5139, 97, F5, 3, 68) (dual of [(97, 3), 152, 69]-NRT-code) [i]Strength Reduction for OOAs