Information on Result #1093378

Linear OOA(389, 40, F3, 4, 54) (dual of [(40, 4), 71, 55]-NRT-code), using construction X applied to AG(4;F,44P) ⊂ AG(4;F,49P) based on
  1. linear OOA(381, 36, F3, 4, 55) (dual of [(36, 4), 63, 56]-NRT-code), using algebraic-geometric NRT-code AG(4;F,44P) with degP = 2 [i] based on function field F/F3 with g(F) = 26 and N(F) ≥ 36, using an explicitly constructive algebraic function field [i]
  2. linear OOA(371, 36, F3, 4, 45) (dual of [(36, 4), 73, 46]-NRT-code), using algebraic-geometric NRT-code AG(4;F,49P) with degP = 2 [i] based on function field F/F3 with g(F) = 26 and N(F) ≥ 36 (see above)
  3. linear OOA(38, 4, F3, 4, 8) (dual of [(4, 4), 8, 9]-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(3243, 88, F3, 4, 109) (dual of [(88, 4), 109, 110]-NRT-code) [i](u, u+v)-Construction for OOAs