Information on Result #1296936
Linear OA(1638, 646, F16, 16) (dual of [646, 608, 17]-code), using trace code based on linear OA(25619, 323, F256, 16) (dual of [323, 304, 17]-code), using
- construction X applied to AG(F,303P) ⊂ AG(F,305P) [i] based on
- linear OA(25618, 320, F256, 16) (dual of [320, 302, 17]-code), using algebraic-geometric code AG(F,303P) [i] based on function field F/F256 with g(F) = 2 and N(F) ≥ 321, using
- linear OA(25616, 320, F256, 14) (dual of [320, 304, 15]-code), using algebraic-geometric code AG(F,305P) [i] based on function field F/F256 with g(F) = 2 and N(F) ≥ 321 (see above)
- linear OA(2561, 3, F256, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(2561, s, F256, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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 OOA(1638, 607, F16, 2, 16) (dual of [(607, 2), 1176, 17]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OA(1639, 648, F16, 16) (dual of [648, 609, 17]-code) | [i] | Construction X with Varšamov Bound | |