Information on Result #1471638

Linear OOA(8172, 157, F8, 2, 113) (dual of [(157, 2), 142, 114]-NRT-code), using construction X applied to AG(2;F,172P) ⊂ AG(2;F,186P) based on
  1. linear OOA(8158, 143, F8, 2, 113) (dual of [(143, 2), 128, 114]-NRT-code), using algebraic-geometric NRT-code AG(2;F,172P) [i] based on function field F/F8 with g(F) = 45 and N(F) ≥ 144, using
  2. linear OOA(8144, 143, F8, 2, 99) (dual of [(143, 2), 142, 100]-NRT-code), using algebraic-geometric NRT-code AG(2;F,186P) [i] based on function field F/F8 with g(F) = 45 and N(F) ≥ 144 (see above)
  3. linear OOA(814, 14, F8, 2, 13) (dual of [(14, 2), 14, 14]-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(8172, 157, F8, 2, 112) (dual of [(157, 2), 142, 113]-NRT-code) [i]Strength Reduction for OOAs