Information on Result #1040034

Linear OOA(5141, 97, F5, 3, 71) (dual of [(97, 3), 150, 72]-NRT-code), using construction X applied to AG(3;F,159P) ⊂ AG(3;F,187P) based on
  1. linear OOA(5109, 77, F5, 3, 71) (dual of [(77, 3), 122, 72]-NRT-code), using algebraic-geometric NRT-code AG(3;F,159P) [i] based on function field F/F5 with g(F) = 38 and N(F) ≥ 78, using
  2. linear OOA(581, 77, F5, 3, 43) (dual of [(77, 3), 150, 44]-NRT-code), using algebraic-geometric NRT-code AG(3;F,187P) [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(5141, 97, F5, 3, 70) (dual of [(97, 3), 150, 71]-NRT-code) [i]Strength Reduction for OOAs