Information on Result #1126033

Linear OOA(3164, 51, F3, 5, 109) (dual of [(51, 5), 91, 110]-NRT-code), using construction X applied to AG(5;F,125P) ⊂ AG(5;F,136P) based on
  1. linear OOA(3154, 47, F3, 5, 109) (dual of [(47, 5), 81, 110]-NRT-code), using algebraic-geometric NRT-code AG(5;F,125P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48, using
  2. linear OOA(3143, 47, F3, 5, 98) (dual of [(47, 5), 92, 99]-NRT-code), using algebraic-geometric NRT-code AG(5;F,136P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48 (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(3164, 51, F3, 5, 108) (dual of [(51, 5), 91, 109]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(3164, 51, F3, 5, 107) (dual of [(51, 5), 91, 108]-NRT-code) [i]