Information on Result #1125749

Linear OOA(3211, 50, F3, 5, 159) (dual of [(50, 5), 39, 160]-NRT-code), using construction X applied to AG(5;F,75P) ⊂ AG(5;F,83P) based on
  1. linear OOA(3204, 47, F3, 5, 159) (dual of [(47, 5), 31, 160]-NRT-code), using algebraic-geometric NRT-code AG(5;F,75P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48, using
  2. linear OOA(3196, 47, F3, 5, 151) (dual of [(47, 5), 39, 152]-NRT-code), using algebraic-geometric NRT-code AG(5;F,83P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48 (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(3211, 50, F3, 5, 158) (dual of [(50, 5), 39, 159]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(3211, 50, F3, 5, 157) (dual of [(50, 5), 39, 158]-NRT-code) [i]