Information on Result #1288442
Linear OA(1634, 578, F16, 16) (dual of [578, 544, 17]-code), using trace code based on linear OA(25617, 289, F256, 16) (dual of [289, 272, 17]-code), using
- extended algebraic-geometric code AGe(F,272P) [i] based on function field F/F256 with g(F) = 1 and N(F) ≥ 289, using
Mode: 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(1635, 579, F16, 16) (dual of [579, 544, 17]-code) | [i] | Code Embedding in Larger Space | |
| 2 | OA(846, 578, S8, 16) | [i] | Discarding Parts of the Base for OAs | |
| 3 | Linear OA(1640, 721, F16, 16) (dual of [721, 681, 17]-code) | [i] | Varšamov–Edel Lengthening | |
| 4 | Linear OA(1641, 849, F16, 16) (dual of [849, 808, 17]-code) | [i] | ||
| 5 | Linear OA(1642, 1016, F16, 16) (dual of [1016, 974, 17]-code) | [i] | ||
| 6 | Linear OA(1643, 1220, F16, 16) (dual of [1220, 1177, 17]-code) | [i] | ||
| 7 | Linear OA(1644, 1466, F16, 16) (dual of [1466, 1422, 17]-code) | [i] | ||