Information on Result #1047522

Linear OOA(385, 46, F3, 3, 43) (dual of [(46, 3), 53, 44]-NRT-code), using construction X applied to AG(3;F,32P) ⊂ AG(3;F,39P) based on
  1. 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, using an explicitly constructive algebraic function field [i]
  2. linear OOA(355, 36, F3, 3, 29) (dual of [(36, 3), 53, 30]-NRT-code), using algebraic-geometric NRT-code AG(3;F,39P) with degP = 2 [i] based on function field F/F3 with g(F) = 26 and N(F) ≥ 36 (see above)
  3. linear OOA(316, 10, F3, 3, 13) (dual of [(10, 3), 14, 14]-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(385, 46, F3, 3, 42) (dual of [(46, 3), 53, 43]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(386, 46, F3, 3, 43) (dual of [(46, 3), 52, 44]-NRT-code) [i]OOA Duplication
3Linear OOA(385, 23, F3, 5, 43) (dual of [(23, 5), 30, 44]-NRT-code) [i]OOA Folding