Information on Result #1297188
Linear OA(25614, 546, F256, 9) (dual of [546, 532, 10]-code), using (u, u+v)-construction based on
- linear OA(2564, 257, F256, 4) (dual of [257, 253, 5]-code or 257-arc in PG(3,256)), using
- extended Reed–Solomon code RSe(253,256) [i]
- algebraic-geometric code AG(F,126P) 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]
- algebraic-geometric code AG(F,84P) with degPÂ =Â 3 [i] based on function field F/F256 with g(F) = 0 and N(F) ≥ 257 (see above)
- algebraic-geometric code AG(F, Q+50P) with degQ = 2 and degPÂ =Â 5 [i] based on function field F/F256 with g(F) = 0 and N(F) ≥ 257 (see above)
- linear OA(25610, 289, F256, 9) (dual of [289, 279, 10]-code), using
- extended algebraic-geometric code AGe(F,279P) [i] based on function field F/F256 with g(F) = 1 and N(F) ≥ 289, 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 | OA(12816, 546, S128, 9) | [i] | Discarding Parts of the Base for OAs | |