Information on Result #658160
Linear OA(25656, 284, F256, 43) (dual of [284, 228, 44]-code), using construction X applied to AG(F, Q+105P) ⊂ AG(F, Q+112P) based on
- linear OA(25643, 257, F256, 43) (dual of [257, 214, 44]-code or 257-arc in PG(42,256)), using algebraic-geometric code AG(F, Q+105P) 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(25629, 257, F256, 29) (dual of [257, 228, 30]-code or 257-arc in PG(28,256)), using algebraic-geometric code AG(F, Q+112P) 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(25613, 27, F256, 13) (dual of [27, 14, 14]-code or 27-arc in PG(12,256)), using
- discarding factors / shortening the dual code based on linear OA(25613, 256, F256, 13) (dual of [256, 243, 14]-code or 256-arc in PG(12,256)), using
- Reed–Solomon code RS(243,256) [i]
- discarding factors / shortening the dual code based on linear OA(25613, 256, F256, 13) (dual of [256, 243, 14]-code or 256-arc in PG(12,256)), 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(16112, 568, F16, 43) (dual of [568, 456, 44]-code) | [i] | Trace Code | |