Information on Result #927482

Linear OOA(9117, 89, F9, 2, 84) (dual of [(89, 2), 61, 85]-NRT-code), using construction X applied to AG(2;F,61P) ⊂ AG(2;F,77P) based on
  1. linear OOA(9101, 73, F9, 2, 84) (dual of [(73, 2), 45, 85]-NRT-code), using algebraic-geometric NRT-code AG(2;F,61P) [i] based on function field F/F9 with g(F) = 17 and N(F) ≥ 74, using
  2. linear OOA(985, 73, F9, 2, 68) (dual of [(73, 2), 61, 69]-NRT-code), using algebraic-geometric NRT-code AG(2;F,77P) [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(9117, 89, F9, 2, 83) (dual of [(89, 2), 61, 84]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(9119, 90, F9, 2, 84) (dual of [(90, 2), 61, 85]-NRT-code) [i]NRT-Code Embedding in Larger Space