Information on Result #928310

Linear OOA(9142, 105, F9, 2, 91) (dual of [(105, 2), 68, 92]-NRT-code), using construction X applied to AG(2;F,54P) ⊂ AG(2;F,84P) based on
  1. linear OOA(9108, 73, F9, 2, 91) (dual of [(73, 2), 38, 92]-NRT-code), using algebraic-geometric NRT-code AG(2;F,54P) [i] based on function field F/F9 with g(F) = 17 and N(F) ≥ 74, using
  2. linear OOA(978, 73, F9, 2, 61) (dual of [(73, 2), 68, 62]-NRT-code), using algebraic-geometric NRT-code AG(2;F,84P) [i] based on function field F/F9 with g(F) = 17 and N(F) ≥ 74 (see above)
  3. linear OOA(934, 32, F9, 2, 29) (dual of [(32, 2), 30, 30]-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(9142, 105, F9, 2, 90) (dual of [(105, 2), 68, 91]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(9144, 106, F9, 2, 91) (dual of [(106, 2), 68, 92]-NRT-code) [i]NRT-Code Embedding in Larger Space