Information on Result #1616372

Linear OOA(2142, 50, F2, 4, 71) (dual of [(50, 4), 58, 72]-NRT-code), using construction X applied to AG(4;F,116P) ⊂ AG(4;F,123P) based on
  1. linear OOA(2136, 47, F2, 4, 71) (dual of [(47, 4), 52, 72]-NRT-code), using algebraic-geometric NRT-code AG(4;F,116P) [i] based on function field F/F2 with g(F) = 65 and N(F) ≥ 48, using
  2. linear OOA(2129, 47, F2, 4, 64) (dual of [(47, 4), 59, 65]-NRT-code), using algebraic-geometric NRT-code AG(4;F,123P) [i] based on function field F/F2 with g(F) = 65 and N(F) ≥ 48 (see above)
  3. linear OOA(26, 3, F2, 4, 6) (dual of [(3, 4), 6, 7]-NRT-code), using

Mode: 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(2142, 50, F2, 4, 70) (dual of [(50, 4), 58, 71]-NRT-code) [i]Strength Reduction for OOAs