Information on Result #644216

Linear OA(840, 67, F8, 25) (dual of [67, 27, 26]-code), using construction X applied to AG(F,38P) ⊂ AG(F,40P) based on
  1. linear OA(839, 64, F8, 25) (dual of [64, 25, 26]-code), using algebraic-geometric code AG(F,38P) [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65, using
  2. linear OA(837, 64, F8, 23) (dual of [64, 27, 24]-code), using algebraic-geometric code AG(F,40P) [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65 (see above)
  3. linear OA(81, 3, F8, 1) (dual of [3, 2, 2]-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.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1Linear OOA(840, 33, F8, 2, 25) (dual of [(33, 2), 26, 26]-NRT-code) [i]OOA Folding