Information on Result #1030797

Linear OOA(346, 30, F3, 3, 27) (dual of [(30, 3), 44, 28]-NRT-code), using construction X applied to AG(3;F,53P) ⊂ AG(3;F,58P) based on
  1. linear OOA(342, 27, F3, 3, 27) (dual of [(27, 3), 39, 28]-NRT-code), using algebraic-geometric NRT-code AG(3;F,53P) [i] based on function field F/F3 with g(F) = 15 and N(F) ≥ 28, using
  2. linear OOA(337, 27, F3, 3, 22) (dual of [(27, 3), 44, 23]-NRT-code), using algebraic-geometric NRT-code AG(3;F,58P) [i] based on function field F/F3 with g(F) = 15 and N(F) ≥ 28 (see above)
  3. linear OOA(34, 3, F3, 3, 4) (dual of [(3, 3), 5, 5]-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(346, 30, F3, 3, 26) (dual of [(30, 3), 44, 27]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(346, 15, F3, 5, 27) (dual of [(15, 5), 29, 28]-NRT-code) [i]OOA Folding