Information on Result #644767

Linear OA(1634, 67, F16, 27) (dual of [67, 33, 28]-code), using construction X applied to AG(F,36P) ⊂ AG(F,38P) based on
  1. linear OA(1633, 64, F16, 27) (dual of [64, 31, 28]-code), using algebraic-geometric code AG(F,36P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
  2. linear OA(1631, 64, F16, 25) (dual of [64, 33, 26]-code), using algebraic-geometric code AG(F,38P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65 (see above)
  3. linear OA(161, 3, F16, 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 OA(468, 134, F4, 27) (dual of [134, 66, 28]-code) [i]Trace Code
2Linear OA(2203, 335, F2, 55) (dual of [335, 132, 56]-code) [i]Concatenation of Two Codes
3Linear OOA(1634, 33, F16, 2, 27) (dual of [(33, 2), 32, 28]-NRT-code) [i]OOA Folding