Information on Result #629250
Linear OA(16122, 131074, F16, 31) (dual of [131074, 130952, 32]-code), using trace code based on linear OA(25661, 65537, F256, 31) (dual of [65537, 65476, 32]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 65537 | 2564−1, defining interval I = [0,15], and minimum distance d ≥ |{−15,−14,…,15}|+1 = 32 (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 OOA(16122, 82231, F16, 2, 31) (dual of [(82231, 2), 164340, 32]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (91, 122, 82231)-net over F16 | [i] | ||
| 3 | Linear OOA(16122, 8738, F16, 31, 31) (dual of [(8738, 31), 270756, 32]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |