Information on Result #652756

Linear OA(3285, 163, F32, 52) (dual of [163, 78, 53]-code), using construction X applied to AG(F,66P) ⊂ AG(F,88P) based on
  1. linear OA(3263, 119, F32, 52) (dual of [119, 56, 53]-code), using algebraic-geometric code AG(F,66P) [i] based on function field F/F32 with g(F) = 11 and N(F) ≥ 120, using
  2. linear OA(3241, 119, F32, 30) (dual of [119, 78, 31]-code), using algebraic-geometric code AG(F,88P) [i] based on function field F/F32 with g(F) = 11 and N(F) ≥ 120 (see above)
  3. linear OA(3222, 44, F32, 21) (dual of [44, 22, 22]-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 OA(3286, 164, F32, 52) (dual of [164, 78, 53]-code) [i]Code Embedding in Larger Space
2Linear OA(3287, 165, F32, 52) (dual of [165, 78, 53]-code) [i]
3Linear OOA(3285, 81, F32, 2, 52) (dual of [(81, 2), 77, 53]-NRT-code) [i]OOA Folding