Information on Result #657897
Linear OA(25663, 284, F256, 50) (dual of [284, 221, 51]-code), using construction X applied to AG(F,103P) ⊂ AG(F,110P) based on
- linear OA(25650, 257, F256, 50) (dual of [257, 207, 51]-code or 257-arc in PG(49,256)), using algebraic-geometric code AG(F,103P) with degPÂ =Â 2 [i] based on function field F/F256 with g(F) = 0 and N(F) ≥ 257, using the rational function field F256(x) [i]
- linear OA(25636, 257, F256, 36) (dual of [257, 221, 37]-code or 257-arc in PG(35,256)), using algebraic-geometric code AG(F,110P) with degPÂ =Â 2 [i] based on function field F/F256 with g(F) = 0 and N(F) ≥ 257 (see above)
- linear OA(25613, 27, F256, 13) (dual of [27, 14, 14]-code or 27-arc in PG(12,256)), using
- discarding factors / shortening the dual code based on linear OA(25613, 256, F256, 13) (dual of [256, 243, 14]-code or 256-arc in PG(12,256)), using
- Reed–Solomon code RS(243,256) [i]
- discarding factors / shortening the dual code based on linear OA(25613, 256, F256, 13) (dual of [256, 243, 14]-code or 256-arc in PG(12,256)), 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:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(16126, 568, F16, 50) (dual of [568, 442, 51]-code) | [i] | Trace Code | |