Information on Result #1128904

Linear OOA(368, 39, F3, 5, 35) (dual of [(39, 5), 127, 36]-NRT-code), using construction X applied to AG(5;F,72P) ⊂ AG(5;F,76P) based on
  1. linear OOA(361, 36, F3, 5, 35) (dual of [(36, 5), 119, 36]-NRT-code), using algebraic-geometric NRT-code AG(5;F,72P) 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(353, 36, F3, 5, 27) (dual of [(36, 5), 127, 28]-NRT-code), using algebraic-geometric NRT-code AG(5;F,76P) with degP = 2 [i] based on function field F/F3 with g(F) = 26 and N(F) ≥ 36 (see above)
  3. linear OOA(37, 3, F3, 5, 7) (dual of [(3, 5), 8, 8]-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(368, 39, F3, 5, 34) (dual of [(39, 5), 127, 35]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(369, 39, F3, 5, 35) (dual of [(39, 5), 126, 36]-NRT-code) [i]OOA Duplication