Information on Result #1040294

Linear OOA(861, 67, F8, 3, 43) (dual of [(67, 3), 140, 44]-NRT-code), using construction X applied to AG(3;F,148P) ⊂ AG(3;F,153P) based on
  1. linear OOA(857, 64, F8, 3, 43) (dual of [(64, 3), 135, 44]-NRT-code), using algebraic-geometric NRT-code AG(3;F,148P) [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65, using
  2. linear OOA(852, 64, F8, 3, 38) (dual of [(64, 3), 140, 39]-NRT-code), using algebraic-geometric NRT-code AG(3;F,153P) [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65 (see above)
  3. linear OOA(84, 3, F8, 3, 4) (dual of [(3, 3), 5, 5]-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(861, 67, F8, 3, 42) (dual of [(67, 3), 140, 43]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(2183, 201, F2, 3, 43) (dual of [(201, 3), 420, 44]-NRT-code) [i]Trace Code for OOAs
3Linear OOA(8165, 134, F8, 3, 86) (dual of [(134, 3), 237, 87]-NRT-code) [i](u, u+v)-Construction for OOAs
4Linear OOA(8167, 135, F8, 3, 86) (dual of [(135, 3), 238, 87]-NRT-code) [i]
5Linear OOA(8168, 136, F8, 3, 86) (dual of [(136, 3), 240, 87]-NRT-code) [i]
6Linear OOA(8166, 134, F8, 3, 87) (dual of [(134, 3), 236, 88]-NRT-code) [i]
7Linear OOA(8168, 135, F8, 3, 87) (dual of [(135, 3), 237, 88]-NRT-code) [i]
8Linear OOA(8169, 136, F8, 3, 87) (dual of [(136, 3), 239, 88]-NRT-code) [i]