Information on Result #928483

Linear OOA(9142, 113, F9, 2, 81) (dual of [(113, 2), 84, 82]-NRT-code), using construction X applied to AG(2;F,64P) ⊂ AG(2;F,101P) based on
  1. 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, using
  2. linear OOA(961, 73, F9, 2, 44) (dual of [(73, 2), 85, 45]-NRT-code), using algebraic-geometric NRT-code AG(2;F,101P) [i] based on function field F/F9 with g(F) = 17 and N(F) ≥ 74 (see above)
  3. linear OOA(944, 40, F9, 2, 36) (dual of [(40, 2), 36, 37]-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, 113, F9, 2, 80) (dual of [(113, 2), 84, 81]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(9144, 114, F9, 2, 81) (dual of [(114, 2), 84, 82]-NRT-code) [i]NRT-Code Embedding in Larger Space