Information on Result #1654069

Linear OOA(2257, 58, F2, 5, 170) (dual of [(58, 5), 33, 171]-NRT-code), using construction X applied to AG(5;F,104P) ⊂ AG(5;F,112P) based on
  1. linear OOA(2250, 55, F2, 5, 170) (dual of [(55, 5), 25, 171]-NRT-code), using algebraic-geometric NRT-code AG(5;F,104P) [i] based on function field F/F2 with g(F) = 80 and N(F) ≥ 56, using
  2. linear OOA(2242, 55, F2, 5, 162) (dual of [(55, 5), 33, 163]-NRT-code), using algebraic-geometric NRT-code AG(5;F,112P) [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(2257, 58, F2, 5, 169) (dual of [(58, 5), 33, 170]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(2257, 58, F2, 5, 168) (dual of [(58, 5), 33, 169]-NRT-code) [i]