Information on Result #1126675

Linear OOA(3179, 57, F3, 5, 108) (dual of [(57, 5), 106, 109]-NRT-code), using construction X applied to AG(5;F,126P) ⊂ AG(5;F,150P) based on
  1. linear OOA(3153, 47, F3, 5, 108) (dual of [(47, 5), 82, 109]-NRT-code), using algebraic-geometric NRT-code AG(5;F,126P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48, using
  2. linear OOA(3129, 47, F3, 5, 84) (dual of [(47, 5), 106, 85]-NRT-code), using algebraic-geometric NRT-code AG(5;F,150P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48 (see above)
  3. linear OOA(326, 10, F3, 5, 23) (dual of [(10, 5), 24, 24]-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(3179, 57, F3, 5, 107) (dual of [(57, 5), 106, 108]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(3179, 57, F3, 5, 106) (dual of [(57, 5), 106, 107]-NRT-code) [i]