Information on Result #927484

Linear OOA(9115, 89, F9, 2, 82) (dual of [(89, 2), 63, 83]-NRT-code), using construction X applied to AG(2;F,63P) ⊂ AG(2;F,79P) based on
  1. linear OOA(999, 73, F9, 2, 82) (dual of [(73, 2), 47, 83]-NRT-code), using algebraic-geometric NRT-code AG(2;F,63P) [i] based on function field F/F9 with g(F) = 17 and N(F) ≥ 74, using
  2. linear OOA(983, 73, F9, 2, 66) (dual of [(73, 2), 63, 67]-NRT-code), using algebraic-geometric NRT-code AG(2;F,79P) [i] based on function field F/F9 with g(F) = 17 and N(F) ≥ 74 (see above)
  3. linear OOA(916, 16, F9, 2, 15) (dual of [(16, 2), 16, 16]-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(9115, 89, F9, 2, 81) (dual of [(89, 2), 63, 82]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(9117, 90, F9, 2, 82) (dual of [(90, 2), 63, 83]-NRT-code) [i]NRT-Code Embedding in Larger Space