Information on Result #1313674
Linear OA(1644, 1466, F16, 16) (dual of [1466, 1422, 17]-code), using 878 step Varšamov–Edel lengthening with (ri) = (3, 0, 0, 0, 1, 13 times 0, 1, 37 times 0, 1, 80 times 0, 1, 126 times 0, 1, 165 times 0, 1, 202 times 0, 1, 244 times 0) based on linear OA(1634, 578, F16, 16) (dual of [578, 544, 17]-code), using
- trace code [i] 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 OOA(1644, 1466, F16, 2, 16) (dual of [(1466, 2), 2888, 17]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (28, 44, 1466)-net over F16 | [i] | ||
| 3 | Linear OOA(1644, 733, F16, 2, 16) (dual of [(733, 2), 1422, 17]-NRT-code) | [i] | OOA Folding | |