Information on Result #629244
Linear OA(16114, 131074, F16, 29) (dual of [131074, 130960, 30]-code), using trace code based on linear OA(25657, 65537, F256, 29) (dual of [65537, 65480, 30]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 65537 | 2564−1, defining interval I = [0,14], and minimum distance d ≥ |{−14,−13,…,14}|+1 = 30 (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(16128, 131091, F16, 29) (dual of [131091, 130963, 30]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(16129, 131098, F16, 29) (dual of [131098, 130969, 30]-code) | [i] | ||
| 3 | Linear OA(16130, 131107, F16, 29) (dual of [131107, 130977, 30]-code) | [i] | ||
| 4 | Linear OOA(16114, 79745, F16, 2, 29) (dual of [(79745, 2), 159376, 30]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 5 | Digital (85, 114, 79745)-net over F16 | [i] | ||
| 6 | Linear OOA(16114, 9362, F16, 29, 29) (dual of [(9362, 29), 271384, 30]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |