Information on Result #927469

Linear OOA(9130, 89, F9, 2, 97) (dual of [(89, 2), 48, 98]-NRT-code), using construction X applied to AG(2;F,48P) ⊂ AG(2;F,64P) based on
  1. linear OOA(9114, 73, F9, 2, 97) (dual of [(73, 2), 32, 98]-NRT-code), using algebraic-geometric NRT-code AG(2;F,48P) [i] based on function field F/F9 with g(F) = 17 and N(F) ≥ 74, using
  2. linear OOA(998, 73, F9, 2, 81) (dual of [(73, 2), 48, 82]-NRT-code), using algebraic-geometric NRT-code AG(2;F,64P) [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(9130, 89, F9, 2, 96) (dual of [(89, 2), 48, 97]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(9132, 90, F9, 2, 97) (dual of [(90, 2), 48, 98]-NRT-code) [i]NRT-Code Embedding in Larger Space