Information on Result #658061
Linear OA(25662, 268, F256, 57) (dual of [268, 206, 58]-code), using construction X applied to AG(F, Q+98P) ⊂ AG(F, Q+101P) based on
- linear OA(25657, 257, F256, 57) (dual of [257, 200, 58]-code or 257-arc in PG(56,256)), using algebraic-geometric code AG(F, Q+98P) 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(25651, 257, F256, 51) (dual of [257, 206, 52]-code or 257-arc in PG(50,256)), using algebraic-geometric code AG(F, Q+101P) 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(2565, 11, F256, 5) (dual of [11, 6, 6]-code or 11-arc in PG(4,256)), using
- discarding factors / shortening the dual code based on linear OA(2565, 256, F256, 5) (dual of [256, 251, 6]-code or 256-arc in PG(4,256)), using
- Reed–Solomon code RS(251,256) [i]
- discarding factors / shortening the dual code based on linear OA(2565, 256, F256, 5) (dual of [256, 251, 6]-code or 256-arc in PG(4,256)), 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(16124, 536, F16, 57) (dual of [536, 412, 58]-code) | [i] | Trace Code | |