Information on Result #928716

Linear OOA(1675, 67, F16, 2, 66) (dual of [(67, 2), 59, 67]-NRT-code), using construction X applied to AG(2;F,61P) ⊂ AG(2;F,65P) based on
  1. linear OOA(1672, 64, F16, 2, 66) (dual of [(64, 2), 56, 67]-NRT-code), using algebraic-geometric NRT-code AG(2;F,61P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
  2. linear OOA(1668, 64, F16, 2, 62) (dual of [(64, 2), 60, 63]-NRT-code), using algebraic-geometric NRT-code AG(2;F,65P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65 (see above)
  3. linear OOA(163, 3, F16, 2, 3) (dual of [(3, 2), 3, 4]-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(4150, 134, F4, 2, 66) (dual of [(134, 2), 118, 67]-NRT-code) [i]Trace Code for OOAs