Information on Result #925050

Linear OOA(8169, 131, F8, 2, 95) (dual of [(131, 2), 93, 96]-NRT-code), using construction X applied to AG(2;F,98P) ⊂ AG(2;F,129P) based on
  1. linear OOA(8132, 97, F8, 2, 95) (dual of [(97, 2), 62, 96]-NRT-code), using algebraic-geometric NRT-code AG(2;F,98P) [i] based on function field F/F8 with g(F) = 37 and N(F) ≥ 98, using
  2. linear OOA(8101, 97, F8, 2, 64) (dual of [(97, 2), 93, 65]-NRT-code), using algebraic-geometric NRT-code AG(2;F,129P) [i] based on function field F/F8 with g(F) = 37 and N(F) ≥ 98 (see above)
  3. linear OOA(837, 34, F8, 2, 30) (dual of [(34, 2), 31, 31]-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(8169, 131, F8, 2, 94) (dual of [(131, 2), 93, 95]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(8171, 132, F8, 2, 95) (dual of [(132, 2), 93, 96]-NRT-code) [i]NRT-Code Embedding in Larger Space