Information on Result #629238
Linear OA(16106, 131074, F16, 27) (dual of [131074, 130968, 28]-code), using trace code based on linear OA(25653, 65537, F256, 27) (dual of [65537, 65484, 28]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 65537 | 2564−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (BCH-bound) [i]
Mode: Constructive and 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(16119, 131091, F16, 27) (dual of [131091, 130972, 28]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(16120, 131098, F16, 27) (dual of [131098, 130978, 28]-code) | [i] | ||
| 3 | Linear OA(16121, 131107, F16, 27) (dual of [131107, 130986, 28]-code) | [i] | ||
| 4 | Linear OA(16122, 131112, F16, 27) (dual of [131112, 130990, 28]-code) | [i] | ||
| 5 | Linear OA(16123, 131119, F16, 27) (dual of [131119, 130996, 28]-code) | [i] | ||
| 6 | Linear OA(16124, 131123, F16, 27) (dual of [131123, 130999, 28]-code) | [i] | ||
| 7 | Linear OA(16125, 131139, F16, 27) (dual of [131139, 131014, 28]-code) | [i] | ||
| 8 | Linear OOA(16106, 77404, F16, 2, 27) (dual of [(77404, 2), 154702, 28]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 9 | Digital (79, 106, 77404)-net over F16 | [i] | ||
| 10 | Linear OA(16125, 131094, F16, 27) (dual of [131094, 130969, 28]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 11 | Linear OOA(16106, 10082, F16, 27, 27) (dual of [(10082, 27), 272108, 28]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |