Information on Result #629200
Linear OA(1656, 514, F16, 28) (dual of [514, 458, 29]-code), using trace code based on linear OA(25628, 257, F256, 28) (dual of [257, 229, 29]-code or 257-arc in PG(27,256)), using
- extended Reed–Solomon code RSe(229,256) [i]
- algebraic-geometric code AG(F,114P) 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,76P) with 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, Q+45P) with degQ = 3 and 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(1657, 515, F16, 28) (dual of [515, 458, 29]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(1673, 552, F16, 28) (dual of [552, 479, 29]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(1674, 559, F16, 28) (dual of [559, 485, 29]-code) | [i] | ||
| 4 | Linear OA(1675, 563, F16, 28) (dual of [563, 488, 29]-code) | [i] | ||
| 5 | Linear OA(1676, 579, F16, 28) (dual of [579, 503, 29]-code) | [i] | ||
| 6 | Linear OA(1677, 581, F16, 28) (dual of [581, 504, 29]-code) | [i] | ||
| 7 | Linear OA(1666, 656, F16, 28) (dual of [656, 590, 29]-code) | [i] | Varšamov–Edel Lengthening | |
| 8 | Linear OA(1667, 723, F16, 28) (dual of [723, 656, 29]-code) | [i] | ||
| 9 | Linear OOA(1656, 257, F16, 2, 28) (dual of [(257, 2), 458, 29]-NRT-code) | [i] | OOA Folding | |