Information on Result #2255110
Linear OA(16120, 65536, F16, 32) (dual of [65536, 65416, 33]-code), using 1 times truncation based on linear OA(16121, 65537, F16, 33) (dual of [65537, 65416, 34]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 65537 | 168−1, 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 | OA(8160, 65536, S8, 32) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OOA(16120, 47962, F16, 2, 32) (dual of [(47962, 2), 95804, 33]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Digital (88, 120, 47962)-net over F16 | [i] | ||
| 4 | Linear OOA(16120, 32768, F16, 2, 32) (dual of [(32768, 2), 65416, 33]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(16120, 4096, F16, 32, 32) (dual of [(4096, 32), 130952, 33]-NRT-code) | [i] | OA Folding and Stacking | |