Information on Result #1845012
OA(2744, 192, S27, 26), using discarding parts of the base based on linear OA(8133, 192, F81, 26) (dual of [192, 159, 27]-code), using
- construction X applied to AG(F,162P) ⊂ AG(F,164P) [i] based on
- linear OA(8132, 189, F81, 26) (dual of [189, 157, 27]-code), using algebraic-geometric code AG(F,162P) [i] based on function field F/F81 with g(F) = 6 and N(F) ≥ 190, using
- linear OA(8130, 189, F81, 24) (dual of [189, 159, 25]-code), using algebraic-geometric code AG(F,164P) [i] based on function field F/F81 with g(F) = 6 and N(F) ≥ 190 (see above)
- linear OA(811, 3, F81, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(811, s, F81, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
Mode: Arbitrary.
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:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | OA(2745, 193, S27, 26) | [i] | Code Embedding in Larger Space | |