Information on Result #658018
Linear OA(25614, 260, F256, 13) (dual of [260, 246, 14]-code), using construction X applied to AG(F, Q+120P) ⊂ AG(F, Q+121P) 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(25611, 257, F256, 11) (dual of [257, 246, 12]-code or 257-arc in PG(10,256)), using algebraic-geometric code AG(F, Q+121P) 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(1628, 520, F16, 13) (dual of [520, 492, 14]-code) | [i] | Trace Code | |
| 2 | OA(3223, 260, S32, 13) | [i] | Discarding Parts of the Base for OAs | |
| 3 | OA(6419, 260, S64, 13) | [i] | ||
| 4 | OA(12816, 260, S128, 13) | [i] | ||
| 5 | Linear OA(25642, 520, F256, 27) (dual of [520, 478, 28]-code) | [i] | (u, u+v)-Construction | |
| 6 | Linear OA(25643, 522, F256, 27) (dual of [522, 479, 28]-code) | [i] | ||
| 7 | Linear OA(25667, 65797, F256, 27) (dual of [65797, 65730, 28]-code) | [i] | ||
| 8 | Linear OA(25641, 520, F256, 26) (dual of [520, 479, 27]-code) | [i] | ||
| 9 | Linear OA(25642, 522, F256, 26) (dual of [522, 480, 27]-code) | [i] | ||
| 10 | Linear OA(25665, 65796, F256, 26) (dual of [65796, 65731, 27]-code) | [i] | ||
| 11 | Linear OA(25620, 517, F256, 13) (dual of [517, 497, 14]-code) | [i] | ||
| 12 | Linear OA(25667, 65798, F256, 27) (dual of [65798, 65731, 28]-code) | [i] | ||
| 13 | Linear OA(25668, 65802, F256, 27) (dual of [65802, 65734, 28]-code) | [i] | ||
| 14 | Linear OA(25665, 65798, F256, 26) (dual of [65798, 65733, 27]-code) | [i] | ||
| 15 | Linear OA(25666, 65801, F256, 26) (dual of [65801, 65735, 27]-code) | [i] | ||
| 16 | Linear OA(25667, 65804, F256, 26) (dual of [65804, 65737, 27]-code) | [i] | ||
| 17 | Linear OA(25668, 65807, F256, 26) (dual of [65807, 65739, 27]-code) | [i] | ||