Information on Result #1296349
Linear OA(25635, 327, F256, 30) (dual of [327, 292, 31]-code), using construction X applied to AG(F,289P) ⊂ AG(F,293P) based on
- linear OA(25632, 320, F256, 30) (dual of [320, 288, 31]-code), using algebraic-geometric code AG(F,289P) [i] based on function field F/F256 with g(F) = 2 and N(F) ≥ 321, using
- linear OA(25628, 320, F256, 26) (dual of [320, 292, 27]-code), using algebraic-geometric code AG(F,293P) [i] based on function field F/F256 with g(F) = 2 and N(F) ≥ 321 (see above)
- linear OA(2563, 7, F256, 3) (dual of [7, 4, 4]-code or 7-arc in PG(2,256) or 7-cap in PG(2,256)), using
- discarding factors / shortening the dual code based on linear OA(2563, 256, F256, 3) (dual of [256, 253, 4]-code or 256-arc in PG(2,256) or 256-cap in PG(2,256)), using
- Reed–Solomon code RS(253,256) [i]
- discarding factors / shortening the dual code based on linear OA(2563, 256, F256, 3) (dual of [256, 253, 4]-code or 256-arc in PG(2,256) or 256-cap in PG(2,256)), using
Mode: 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(1670, 654, F16, 30) (dual of [654, 584, 31]-code) | [i] | Trace Code | |
| 2 | OA(3256, 327, S32, 30) | [i] | Discarding Parts of the Base for OAs | |
| 3 | OA(6447, 327, S64, 30) | [i] | ||
| 4 | OA(12840, 327, S128, 30) | [i] | ||