Information on Result #652497

Linear OA(3282, 150, F32, 56) (dual of [150, 68, 57]-code), using construction X applied to AG(F,62P) ⊂ AG(F,78P) based on
  1. linear OA(3267, 119, F32, 56) (dual of [119, 52, 57]-code), using algebraic-geometric code AG(F,62P) [i] based on function field F/F32 with g(F) = 11 and N(F) ≥ 120, using
  2. linear OA(3251, 119, F32, 40) (dual of [119, 68, 41]-code), using algebraic-geometric code AG(F,78P) [i] based on function field F/F32 with g(F) = 11 and N(F) ≥ 120 (see above)
  3. linear OA(3215, 31, F32, 15) (dual of [31, 16, 16]-code or 31-arc in PG(14,32)), 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(3282, 75, F32, 2, 56) (dual of [(75, 2), 68, 57]-NRT-code) [i]OOA Folding