Information on Result #658004
Linear OA(25628, 260, F256, 27) (dual of [260, 232, 28]-code), using construction X applied to AG(F, Q+113P) ⊂ AG(F, Q+114P) based on
- linear OA(25627, 257, F256, 27) (dual of [257, 230, 28]-code or 257-arc in PG(26,256)), using algebraic-geometric code AG(F, Q+113P) 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(25625, 257, F256, 25) (dual of [257, 232, 26]-code or 257-arc in PG(24,256)), using algebraic-geometric code AG(F, Q+114P) 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(4112, 1040, F4, 27) (dual of [1040, 928, 28]-code) | [i] | Trace Code | |
| 2 | Linear OA(1656, 520, F16, 27) (dual of [520, 464, 28]-code) | [i] | ||
| 3 | OA(3245, 260, S32, 27) | [i] | Discarding Parts of the Base for OAs | |
| 4 | OA(6438, 260, S64, 27) | [i] | ||
| 5 | OA(12832, 260, S128, 27) | [i] | ||
| 6 | Linear OA(25641, 517, F256, 27) (dual of [517, 476, 28]-code) | [i] | (u, u+v)-Construction | |
| 7 | Linear OA(25642, 520, F256, 27) (dual of [520, 478, 28]-code) | [i] | ||