Information on Result #1126379

Linear OOA(3166, 54, F3, 5, 103) (dual of [(54, 5), 104, 104]-NRT-code), using construction X applied to AG(5;F,131P) ⊂ AG(5;F,149P) based on
  1. linear OOA(3148, 47, F3, 5, 103) (dual of [(47, 5), 87, 104]-NRT-code), using algebraic-geometric NRT-code AG(5;F,131P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48, using
  2. linear OOA(3130, 47, F3, 5, 85) (dual of [(47, 5), 105, 86]-NRT-code), using algebraic-geometric NRT-code AG(5;F,149P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48 (see above)
  3. linear OOA(318, 7, F3, 5, 17) (dual of [(7, 5), 17, 18]-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(3166, 54, F3, 5, 102) (dual of [(54, 5), 104, 103]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(3166, 54, F3, 5, 101) (dual of [(54, 5), 104, 102]-NRT-code) [i]