Information on Result #928190

Linear OOA(9126, 101, F9, 2, 80) (dual of [(101, 2), 76, 81]-NRT-code), using construction X applied to AG(2;F,65P) ⊂ AG(2;F,92P) based on
  1. linear OOA(997, 73, F9, 2, 80) (dual of [(73, 2), 49, 81]-NRT-code), using algebraic-geometric NRT-code AG(2;F,65P) [i] based on function field F/F9 with g(F) = 17 and N(F) ≥ 74, using
  2. linear OOA(970, 73, F9, 2, 53) (dual of [(73, 2), 76, 54]-NRT-code), using algebraic-geometric NRT-code AG(2;F,92P) [i] based on function field F/F9 with g(F) = 17 and N(F) ≥ 74 (see above)
  3. linear OOA(929, 28, F9, 2, 26) (dual of [(28, 2), 27, 27]-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(9126, 101, F9, 2, 79) (dual of [(101, 2), 76, 80]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(9128, 102, F9, 2, 80) (dual of [(102, 2), 76, 81]-NRT-code) [i]NRT-Code Embedding in Larger Space