Information on Result #1040304

Linear OOA(856, 67, F8, 3, 38) (dual of [(67, 3), 145, 39]-NRT-code), using construction X applied to AG(3;F,153P) ⊂ AG(3;F,158P) based on
  1. 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, using
  2. linear OOA(847, 64, F8, 3, 33) (dual of [(64, 3), 145, 34]-NRT-code), using algebraic-geometric NRT-code AG(3;F,158P) [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(856, 67, F8, 3, 37) (dual of [(67, 3), 145, 38]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(2168, 201, F2, 3, 38) (dual of [(201, 3), 435, 39]-NRT-code) [i]Trace Code for OOAs
3Linear OOA(8150, 134, F8, 3, 76) (dual of [(134, 3), 252, 77]-NRT-code) [i](u, u+v)-Construction for OOAs
4Linear OOA(8152, 135, F8, 3, 76) (dual of [(135, 3), 253, 77]-NRT-code) [i]
5Linear OOA(8153, 136, F8, 3, 76) (dual of [(136, 3), 255, 77]-NRT-code) [i]
6Linear OOA(8151, 134, F8, 3, 77) (dual of [(134, 3), 251, 78]-NRT-code) [i]
7Linear OOA(8153, 135, F8, 3, 77) (dual of [(135, 3), 252, 78]-NRT-code) [i]
8Linear OOA(8154, 136, F8, 3, 77) (dual of [(136, 3), 254, 78]-NRT-code) [i]