Information on Result #1047404

Linear OOA(389, 42, F3, 3, 53) (dual of [(42, 3), 37, 54]-NRT-code), using construction X applied to AG(3;F,27P) ⊂ AG(3;F,32P) based on
  1. linear OOA(379, 36, F3, 3, 53) (dual of [(36, 3), 29, 54]-NRT-code), using algebraic-geometric NRT-code AG(3;F,27P) 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(369, 36, F3, 3, 43) (dual of [(36, 3), 39, 44]-NRT-code), using algebraic-geometric NRT-code AG(3;F,32P) with degP = 2 [i] based on function field F/F3 with g(F) = 26 and N(F) ≥ 36 (see above)
  3. linear OOA(310, 6, F3, 3, 9) (dual of [(6, 3), 8, 10]-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(389, 21, F3, 5, 53) (dual of [(21, 5), 16, 54]-NRT-code) [i]OOA Folding