Information on Result #930491

Linear OOA(16118, 88, F16, 2, 88) (dual of [(88, 2), 58, 89]-NRT-code), using construction X applied to AG(2;F,39P) ⊂ AG(2;F,63P) based on
  1. linear OOA(1694, 64, F16, 2, 88) (dual of [(64, 2), 34, 89]-NRT-code), using algebraic-geometric NRT-code AG(2;F,39P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
  2. 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 (see above)
  3. linear OOA(1624, 24, F16, 2, 23) (dual of [(24, 2), 24, 24]-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(16118, 88, F16, 2, 87) (dual of [(88, 2), 58, 88]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(16120, 89, F16, 2, 88) (dual of [(89, 2), 58, 89]-NRT-code) [i]NRT-Code Embedding in Larger Space