Information on Result #629214
Linear OA(1674, 131074, F16, 19) (dual of [131074, 131000, 20]-code), using trace code based on linear OA(25637, 65537, F256, 19) (dual of [65537, 65500, 20]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 65537 | 2564−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (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(1683, 131091, F16, 19) (dual of [131091, 131008, 20]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(1684, 131098, F16, 19) (dual of [131098, 131014, 20]-code) | [i] | ||
| 3 | Linear OA(1685, 131107, F16, 19) (dual of [131107, 131022, 20]-code) | [i] | ||
| 4 | Linear OOA(1674, 70865, F16, 2, 19) (dual of [(70865, 2), 141656, 20]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 5 | Digital (55, 74, 70865)-net over F16 | [i] | ||
| 6 | Linear OOA(1674, 14563, F16, 19, 19) (dual of [(14563, 19), 276623, 20]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |