Information on Result #1654214

Linear OOA(2187, 58, F2, 5, 100) (dual of [(58, 5), 103, 101]-NRT-code), using construction X applied to AG(5;F,174P) ⊂ AG(5;F,182P) based on
  1. linear OOA(2180, 55, F2, 5, 100) (dual of [(55, 5), 95, 101]-NRT-code), using algebraic-geometric NRT-code AG(5;F,174P) [i] based on function field F/F2 with g(F) = 80 and N(F) ≥ 56, using
  2. linear OOA(2172, 55, F2, 5, 92) (dual of [(55, 5), 103, 93]-NRT-code), using algebraic-geometric NRT-code AG(5;F,182P) [i] based on function field F/F2 with g(F) = 80 and N(F) ≥ 56 (see above)
  3. linear OOA(27, 3, F2, 5, 7) (dual of [(3, 5), 8, 8]-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(2187, 58, F2, 5, 99) (dual of [(58, 5), 103, 100]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(2187, 58, F2, 5, 98) (dual of [(58, 5), 103, 99]-NRT-code) [i]