Information on Result #652532

Linear OA(3297, 152, F32, 70) (dual of [152, 55, 71]-code), using construction X applied to AG(F,48P) ⊂ AG(F,65P) based on
  1. linear OA(3281, 119, F32, 70) (dual of [119, 38, 71]-code), using algebraic-geometric code AG(F,48P) [i] based on function field F/F32 with g(F) = 11 and N(F) ≥ 120, using
  2. linear OA(3264, 119, F32, 53) (dual of [119, 55, 54]-code), using algebraic-geometric code AG(F,65P) [i] based on function field F/F32 with g(F) = 11 and N(F) ≥ 120 (see above)
  3. linear OA(3216, 33, F32, 16) (dual of [33, 17, 17]-code or 33-arc in PG(15,32)), 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 OA(3298, 153, F32, 70) (dual of [153, 55, 71]-code) [i]Code Embedding in Larger Space
2Linear OOA(3297, 76, F32, 2, 70) (dual of [(76, 2), 55, 71]-NRT-code) [i]OOA Folding