Information on Result #655377

Linear OA(8137, 226, F81, 23) (dual of [226, 189, 24]-code), using construction X applied to AG(F,199P) ⊂ AG(F,201P) based on
  1. linear OA(8136, 223, F81, 23) (dual of [223, 187, 24]-code), using algebraic-geometric code AG(F,199P) [i] based on function field F/F81 with g(F) = 13 and N(F) ≥ 224, using
  2. linear OA(8134, 223, F81, 21) (dual of [223, 189, 22]-code), using algebraic-geometric code AG(F,201P) [i] based on function field F/F81 with g(F) = 13 and N(F) ≥ 224 (see above)
  3. linear OA(811, 3, F81, 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.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1Linear OOA(8137, 113, F81, 2, 23) (dual of [(113, 2), 189, 24]-NRT-code) [i]OOA Folding