Information on Result #657886
Linear OA(25645, 280, F256, 34) (dual of [280, 235, 35]-code), using construction X applied to AG(F,111P) ⊂ AG(F,117P) based on
- linear OA(25634, 257, F256, 34) (dual of [257, 223, 35]-code or 257-arc in PG(33,256)), using algebraic-geometric code AG(F,111P) 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(25622, 257, F256, 22) (dual of [257, 235, 23]-code or 257-arc in PG(21,256)), using algebraic-geometric code AG(F,117P) with degPÂ =Â 2 [i] based on function field F/F256 with g(F) = 0 and N(F) ≥ 257 (see above)
- linear OA(25611, 23, F256, 11) (dual of [23, 12, 12]-code or 23-arc in PG(10,256)), using
- discarding factors / shortening the dual code based on linear OA(25611, 256, F256, 11) (dual of [256, 245, 12]-code or 256-arc in PG(10,256)), using
- Reed–Solomon code RS(245,256) [i]
- discarding factors / shortening the dual code based on linear OA(25611, 256, F256, 11) (dual of [256, 245, 12]-code or 256-arc in PG(10,256)), 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(1690, 560, F16, 34) (dual of [560, 470, 35]-code) | [i] | Trace Code | |