Information on Result #1047342

Linear OOA(383, 40, F3, 3, 50) (dual of [(40, 3), 37, 51]-NRT-code), using construction X applied to AG(3;F,28P) ⊂ AG(3;F,32P) based on
  1. linear OOA(377, 36, F3, 3, 51) (dual of [(36, 3), 31, 52]-NRT-code), using algebraic-geometric NRT-code AG(3;F,28P) 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(36, 4, F3, 3, 6) (dual of [(4, 3), 6, 7]-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(383, 20, F3, 5, 50) (dual of [(20, 5), 17, 51]-NRT-code) [i]OOA Folding