Information on Result #1126683

Linear OOA(3171, 57, F3, 5, 100) (dual of [(57, 5), 114, 101]-NRT-code), using construction X applied to AG(5;F,134P) ⊂ AG(5;F,158P) based on
  1. linear OOA(3145, 47, F3, 5, 100) (dual of [(47, 5), 90, 101]-NRT-code), using algebraic-geometric NRT-code AG(5;F,134P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48, using
  2. linear OOA(3121, 47, F3, 5, 76) (dual of [(47, 5), 114, 77]-NRT-code), using algebraic-geometric NRT-code AG(5;F,158P) [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(3171, 57, F3, 5, 99) (dual of [(57, 5), 114, 100]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(3171, 57, F3, 5, 98) (dual of [(57, 5), 114, 99]-NRT-code) [i]