Information on Result #658452
Linear OA(25660, 266, F256, 56) (dual of [266, 206, 57]-code), using construction X applied to AG(F,40P) ⊂ AG(F,41P) based on
- linear OA(25656, 257, F256, 56) (dual of [257, 201, 57]-code or 257-arc in PG(55,256)), using algebraic-geometric code AG(F,100P) with 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(2564, 9, F256, 4) (dual of [9, 5, 5]-code or 9-arc in PG(3,256)), using
- discarding factors / shortening the dual code based on linear OA(2564, 256, F256, 4) (dual of [256, 252, 5]-code or 256-arc in PG(3,256)), using
- Reed–Solomon code RS(252,256) [i]
- discarding factors / shortening the dual code based on linear OA(2564, 256, F256, 4) (dual of [256, 252, 5]-code or 256-arc in PG(3,256)), 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(4240, 1064, F4, 56) (dual of [1064, 824, 57]-code) | [i] | Trace Code | |
| 2 | Linear OA(16120, 532, F16, 56) (dual of [532, 412, 57]-code) | [i] | ||