Information on Result #657994
Linear OA(25638, 260, F256, 37) (dual of [260, 222, 38]-code), using construction X applied to AG(F, Q+108P) ⊂ AG(F, Q+109P) based on
- linear OA(25637, 257, F256, 37) (dual of [257, 220, 38]-code or 257-arc in PG(36,256)), using algebraic-geometric code AG(F, Q+108P) 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(25635, 257, F256, 35) (dual of [257, 222, 36]-code or 257-arc in PG(34,256)), using algebraic-geometric code AG(F, Q+109P) 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(1676, 520, F16, 37) (dual of [520, 444, 38]-code) | [i] | Trace Code | |
| 2 | OA(3261, 260, S32, 37) | [i] | Discarding Parts of the Base for OAs | |
| 3 | OA(6451, 260, S64, 37) | [i] | ||
| 4 | OA(12844, 260, S128, 37) | [i] | ||
| 5 | Linear OA(25656, 517, F256, 37) (dual of [517, 461, 38]-code) | [i] | (u, u+v)-Construction | |
| 6 | Linear OA(25657, 520, F256, 37) (dual of [520, 463, 38]-code) | [i] | ||