Information on Result #1453000
Linear OOA(1616, 127025, F16, 2, 5) (dual of [(127025, 2), 254034, 6]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(1616, 127025, F16, 5) (dual of [127025, 127009, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(1616, 130579, F16, 5) (dual of [130579, 130563, 6]-code), using
- (u, u+v)-construction [i] based on
- linear OA(162, 17, F16, 2) (dual of [17, 15, 3]-code or 17-arc in PG(1,16)), using
- extended Reed–Solomon code RSe(15,16) [i]
- Hamming code H(2,16) [i]
- linear OA(1614, 130562, F16, 5) (dual of [130562, 130548, 6]-code), using
- trace code [i] based on linear OA(2567, 65281, F256, 5) (dual of [65281, 65274, 6]-code), using
- linear OA(162, 17, F16, 2) (dual of [17, 15, 3]-code or 17-arc in PG(1,16)), using
- (u, u+v)-construction [i] based on
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 | OOA(822, 127025, S8, 2, 5) | [i] | Discarding Parts of the Base for OOAs | |
| 2 | Linear OOA(1616, 127024, F16, 6, 5) (dual of [(127024, 6), 762128, 6]-NRT-code) | [i] | OOA Stacking with Additional Row | |