Information on Result #629247
Linear OA(16118, 131072, F16, 30) (dual of [131072, 130954, 31]-code), using trace code based on linear OA(25659, 65536, F256, 30) (dual of [65536, 65477, 31]-code), using
- an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [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(16118, 80972, F16, 2, 30) (dual of [(80972, 2), 161826, 31]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (88, 118, 80972)-net over F16 | [i] | ||
| 3 | Linear OOA(16118, 8738, F16, 30, 30) (dual of [(8738, 30), 262022, 31]-NRT-code) | [i] | OA Folding and Stacking | |