Information on Result #929997

Linear OOA(1686, 80, F16, 2, 64) (dual of [(80, 2), 74, 65]-NRT-code), using construction X applied to AG(2;F,63P) ⊂ AG(2;F,80P) based on
  1. linear OOA(1670, 64, F16, 2, 64) (dual of [(64, 2), 58, 65]-NRT-code), using algebraic-geometric NRT-code AG(2;F,63P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
  2. linear OOA(1653, 64, F16, 2, 47) (dual of [(64, 2), 75, 48]-NRT-code), using algebraic-geometric NRT-code AG(2;F,80P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65 (see above)
  3. linear OOA(1616, 16, F16, 2, 16) (dual of [(16, 2), 16, 17]-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(4172, 160, F4, 2, 64) (dual of [(160, 2), 148, 65]-NRT-code) [i]Trace Code for OOAs