Information on Result #1128955

Linear OOA(3135, 40, F3, 5, 98) (dual of [(40, 5), 65, 99]-NRT-code), using construction X applied to AG(5;F,40P) ⊂ AG(5;F,46P) based on
  1. linear OOA(3125, 36, F3, 5, 99) (dual of [(36, 5), 55, 100]-NRT-code), using algebraic-geometric NRT-code AG(5;F,40P) 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(3113, 36, F3, 5, 87) (dual of [(36, 5), 67, 88]-NRT-code), using algebraic-geometric NRT-code AG(5;F,46P) with degP = 2 [i] based on function field F/F3 with g(F) = 26 and N(F) ≥ 36 (see above)
  3. linear OOA(310, 4, F3, 5, 10) (dual of [(4, 5), 10, 11]-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(3211, 77, F3, 5, 98) (dual of [(77, 5), 174, 99]-NRT-code) [i](u, u+v)-Construction for OOAs