Information on Result #1031627

Linear OOA(3112, 54, F3, 3, 56) (dual of [(54, 3), 50, 57]-NRT-code), using construction X applied to AG(3;F,84P) ⊂ AG(3;F,95P) based on
  1. linear OOA(3101, 47, F3, 3, 56) (dual of [(47, 3), 40, 57]-NRT-code), using algebraic-geometric NRT-code AG(3;F,84P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48, using
  2. linear OOA(390, 47, F3, 3, 45) (dual of [(47, 3), 51, 46]-NRT-code), using algebraic-geometric NRT-code AG(3;F,95P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48 (see above)
  3. linear OOA(311, 7, F3, 3, 10) (dual of [(7, 3), 10, 11]-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(3112, 27, F3, 5, 56) (dual of [(27, 5), 23, 57]-NRT-code) [i]OOA Folding