Information on Result #657986
Linear OA(25646, 260, F256, 45) (dual of [260, 214, 46]-code), using construction X applied to AG(F, Q+104P) ⊂ AG(F, Q+105P) based on
- linear OA(25645, 257, F256, 45) (dual of [257, 212, 46]-code or 257-arc in PG(44,256)), using algebraic-geometric code AG(F, Q+104P) 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(25643, 257, F256, 43) (dual of [257, 214, 44]-code or 257-arc in PG(42,256)), using algebraic-geometric code AG(F, Q+105P) with degQ = 3 and degPÂ =Â 2 [i] based on function field F/F256 with g(F) = 0 and N(F) ≥ 257 (see above)
- linear OA(2561, 3, F256, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(2561, s, F256, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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(1692, 520, F16, 45) (dual of [520, 428, 46]-code) | [i] | Trace Code | |
| 2 | OA(3274, 260, S32, 45) | [i] | Discarding Parts of the Base for OAs | |
| 3 | OA(6462, 260, S64, 45) | [i] | ||
| 4 | OA(12853, 260, S128, 45) | [i] | ||
| 5 | Linear OA(25668, 517, F256, 45) (dual of [517, 449, 46]-code) | [i] | (u, u+v)-Construction | |