Information on Result #1042651

Linear OOA(8144, 114, F8, 3, 81) (dual of [(114, 3), 198, 82]-NRT-code), using construction X applied to AG(3;F,209P) ⊂ AG(3;F,234P) based on
  1. linear OOA(8118, 97, F8, 3, 81) (dual of [(97, 3), 173, 82]-NRT-code), using algebraic-geometric NRT-code AG(3;F,209P) [i] based on function field F/F8 with g(F) = 37 and N(F) ≥ 98, using
  2. linear OOA(893, 97, F8, 3, 56) (dual of [(97, 3), 198, 57]-NRT-code), using algebraic-geometric NRT-code AG(3;F,234P) [i] based on function field F/F8 with g(F) = 37 and N(F) ≥ 98 (see above)
  3. linear OOA(826, 17, F8, 3, 24) (dual of [(17, 3), 25, 25]-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(8144, 114, F8, 3, 80) (dual of [(114, 3), 198, 81]-NRT-code) [i]Strength Reduction for OOAs