Information on Result #629243
Linear OA(16112, 514, F16, 56) (dual of [514, 402, 57]-code), using trace code based on linear OA(25656, 257, F256, 56) (dual of [257, 201, 57]-code or 257-arc in PG(55,256)), using
- extended Reed–Solomon code RSe(201,256) [i]
- 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]
- algebraic-geometric code AG(F, Q+66P) with degQ = 2 and degPÂ =Â 3 [i] based on function field F/F256 with g(F) = 0 and N(F) ≥ 257 (see above)
- algebraic-geometric code AG(F,40P) with degPÂ =Â 5 [i] based on function field F/F256 with g(F) = 0 and N(F) ≥ 257 (see above)
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(16113, 515, F16, 56) (dual of [515, 402, 57]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(16112, 257, F16, 2, 56) (dual of [(257, 2), 402, 57]-NRT-code) | [i] | OOA Folding | |