Information on Result #652538

Linear OA(3291, 152, F32, 64) (dual of [152, 61, 65]-code), using construction X applied to AG(F,54P) ⊂ AG(F,71P) based on
  1. linear OA(3275, 119, F32, 64) (dual of [119, 44, 65]-code), using algebraic-geometric code AG(F,54P) [i] based on function field F/F32 with g(F) = 11 and N(F) ≥ 120, using
  2. linear OA(3258, 119, F32, 47) (dual of [119, 61, 48]-code), using algebraic-geometric code AG(F,71P) [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(3292, 153, F32, 64) (dual of [153, 61, 65]-code) [i]Code Embedding in Larger Space
2Linear OOA(3291, 76, F32, 2, 64) (dual of [(76, 2), 61, 65]-NRT-code) [i]OOA Folding