Information on Result #1042653

Linear OOA(8142, 114, F8, 3, 79) (dual of [(114, 3), 200, 80]-NRT-code), using construction X applied to AG(3;F,211P) ⊂ AG(3;F,236P) based on
  1. linear OOA(8116, 97, F8, 3, 79) (dual of [(97, 3), 175, 80]-NRT-code), using algebraic-geometric NRT-code AG(3;F,211P) [i] based on function field F/F8 with g(F) = 37 and N(F) ≥ 98, using
  2. linear OOA(891, 97, F8, 3, 54) (dual of [(97, 3), 200, 55]-NRT-code), using algebraic-geometric NRT-code AG(3;F,236P) [i] based on function field F/F8 with g(F) = 37 and N(F) ≥ 98 (see above)
  3. linear OOA(826, 17, F8, 3, 24) (dual of [(17, 3), 25, 25]-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(8142, 114, F8, 3, 78) (dual of [(114, 3), 200, 79]-NRT-code) [i]Strength Reduction for OOAs