Information on Result #671857
Linear OA(25618, 514, F256, 12) (dual of [514, 496, 13]-code), using (u, u+v)-construction based on
- linear OA(2566, 257, F256, 6) (dual of [257, 251, 7]-code or 257-arc in PG(5,256)), using
- extended Reed–Solomon code RSe(251,256) [i]
- algebraic-geometric code AG(F,125P) 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, Q+82P) with degQ = 4 and 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,50P) with degPÂ =Â 5 [i] based on function field F/F256 with g(F) = 0 and N(F) ≥ 257 (see above)
- linear OA(25612, 257, F256, 12) (dual of [257, 245, 13]-code or 257-arc in PG(11,256)), using
- extended Reed–Solomon code RSe(245,256) [i]
- algebraic-geometric code AG(F,122P) with degPÂ =Â 2 [i] based on function field F/F256 with g(F) = 0 and N(F) ≥ 257 (see above)
- algebraic-geometric code AG(F, Q+80P) with degQ = 4 and 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+48P) with degQ = 4 and degPÂ =Â 5 [i] based on function field F/F256 with g(F) = 0 and N(F) ≥ 257 (see above)
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 | OA(12821, 514, S128, 12) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OA(25667, 66051, F256, 25) (dual of [66051, 65984, 26]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(25665, 66050, F256, 24) (dual of [66050, 65985, 25]-code) | [i] | ||
| 4 | Linear OA(25667, 66052, F256, 25) (dual of [66052, 65985, 26]-code) | [i] | ||
| 5 | Linear OA(25668, 66056, F256, 25) (dual of [66056, 65988, 26]-code) | [i] | ||
| 6 | Linear OA(25665, 66052, F256, 24) (dual of [66052, 65987, 25]-code) | [i] | ||