Information on Result #658521
Linear OA(25617, 266, F256, 13) (dual of [266, 249, 14]-code), using construction X applied to AG(F, Q+48P) ⊂ AG(F, Q+49P) based on
- linear OA(25613, 257, F256, 13) (dual of [257, 244, 14]-code or 257-arc in PG(12,256)), using algebraic-geometric code AG(F, Q+120P) with degQ = 3 and 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(2568, 257, F256, 8) (dual of [257, 249, 9]-code or 257-arc in PG(7,256)), using algebraic-geometric code AG(F,124P) with degPÂ =Â 2 [i] based on function field F/F256 with g(F) = 0 and N(F) ≥ 257 (see above)
- linear OA(2564, 9, F256, 4) (dual of [9, 5, 5]-code or 9-arc in PG(3,256)), using
- discarding factors / shortening the dual code based on linear OA(2564, 256, F256, 4) (dual of [256, 252, 5]-code or 256-arc in PG(3,256)), using
- Reed–Solomon code RS(252,256) [i]
- discarding factors / shortening the dual code based on linear OA(2564, 256, F256, 4) (dual of [256, 252, 5]-code or 256-arc in PG(3,256)), 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(1634, 532, F16, 13) (dual of [532, 498, 14]-code) | [i] | Trace Code | |
| 2 | Linear OA(25668, 65802, F256, 26) (dual of [65802, 65734, 27]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(25668, 65804, F256, 26) (dual of [65804, 65736, 27]-code) | [i] | ||