Information on Result #1303116
Linear OA(941, 274, F9, 17) (dual of [274, 233, 18]-code), using construction X with Varšamov bound based on
- linear OA(940, 272, F9, 17) (dual of [272, 232, 18]-code), using
- trace code [i] based on linear OA(8120, 136, F81, 17) (dual of [136, 116, 18]-code), using
- extended algebraic-geometric code AGe(F,118P) [i] based on function field F/F81 with g(F) = 3 and N(F) ≥ 136, using
- trace code [i] based on linear OA(8120, 136, F81, 17) (dual of [136, 116, 18]-code), using
- linear OA(940, 273, F9, 16) (dual of [273, 233, 17]-code), using Gilbert–Varšamov bound and bm = 940 > Vbs−1(k−1) = 60 372393 163275 215796 293607 929580 627585 [i]
- linear OA(90, 1, F9, 0) (dual of [1, 1, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(90, s, F9, 0) (dual of [s, s, 1]-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(941, 274, F9, 2, 17) (dual of [(274, 2), 507, 18]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(941, 274, F9, 3, 17) (dual of [(274, 3), 781, 18]-NRT-code) | [i] | ||
| 3 | Digital (24, 41, 274)-net over F9 | [i] | ||