Information on Result #1818495
OA(27104, 372, S27, 61), using discarding parts of the base based on linear OA(8178, 372, F81, 61) (dual of [372, 294, 62]-code), using
- construction X applied to AG(F,307P) ⊂ AG(F,309P) [i] based on
- linear OA(8177, 369, F81, 61) (dual of [369, 292, 62]-code), using algebraic-geometric code AG(F,307P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370, using
- linear OA(8175, 369, F81, 59) (dual of [369, 294, 60]-code), using algebraic-geometric code AG(F,309P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370 (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: Constructive.
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(27105, 373, S27, 61) | [i] | Code Embedding in Larger Space | |
| 2 | OA(27106, 374, S27, 61) | [i] | ||
| 3 | OOA(27104, 186, S27, 2, 61) | [i] | OOA Folding | |