Information on Result #1819111
OA(3277, 218, S32, 49), using discarding parts of the base based on linear OA(12855, 218, F128, 49) (dual of [218, 163, 50]-code), using
- construction X applied to AG(F,165P) ⊂ AG(F,167P) [i] based on
- linear OA(12854, 215, F128, 49) (dual of [215, 161, 50]-code), using algebraic-geometric code AG(F,165P) [i] based on function field F/F128 with g(F) = 5 and N(F) ≥ 216, using
- linear OA(12852, 215, F128, 47) (dual of [215, 163, 48]-code), using algebraic-geometric code AG(F,167P) [i] based on function field F/F128 with g(F) = 5 and N(F) ≥ 216 (see above)
- linear OA(1281, 3, F128, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(1281, s, F128, 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(3278, 219, S32, 49) | [i] | Code Embedding in Larger Space | |