Information on Result #1091506

Linear OOA(3180, 59, F3, 4, 109) (dual of [(59, 4), 56, 110]-NRT-code), using construction X applied to AG(4;F,78P) ⊂ AG(4;F,101P) based on
  1. linear OOA(3154, 47, F3, 4, 109) (dual of [(47, 4), 34, 110]-NRT-code), using algebraic-geometric NRT-code AG(4;F,78P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48, using
  2. linear OOA(3131, 47, F3, 4, 86) (dual of [(47, 4), 57, 87]-NRT-code), using algebraic-geometric NRT-code AG(4;F,101P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48 (see above)
  3. linear OOA(326, 12, F3, 4, 22) (dual of [(12, 4), 22, 23]-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(3180, 59, F3, 4, 108) (dual of [(59, 4), 56, 109]-NRT-code) [i]Strength Reduction for OOAs