Information on Result #629256
Linear OA(16130, 131074, F16, 33) (dual of [131074, 130944, 34]-code), using trace code based on linear OA(25665, 65537, F256, 33) (dual of [65537, 65472, 34]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 65537 | 2564−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (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(16130, 84830, F16, 2, 33) (dual of [(84830, 2), 169530, 34]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (97, 130, 84830)-net over F16 | [i] | ||
| 3 | Linear OOA(16130, 8192, F16, 33, 33) (dual of [(8192, 33), 270206, 34]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |