Information on Result #1121843

Linear OOA(2136, 35, F2, 5, 90) (dual of [(35, 5), 39, 91]-NRT-code), using construction X applied to AG(5;F,69P) ⊂ AG(5;F,77P) based on
  1. linear OOA(2129, 32, F2, 5, 90) (dual of [(32, 5), 31, 91]-NRT-code), using algebraic-geometric NRT-code AG(5;F,69P) [i] based on function field F/F2 with g(F) = 39 and N(F) ≥ 33, using
  2. linear OOA(2121, 32, F2, 5, 82) (dual of [(32, 5), 39, 83]-NRT-code), using algebraic-geometric NRT-code AG(5;F,77P) [i] based on function field F/F2 with g(F) = 39 and N(F) ≥ 33 (see above)
  3. linear OOA(27, 3, F2, 5, 7) (dual of [(3, 5), 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(2136, 35, F2, 5, 89) (dual of [(35, 5), 39, 90]-NRT-code) [i]Strength Reduction for OOAs