Information on Result #629226
Linear OA(1690, 131074, F16, 23) (dual of [131074, 130984, 24]-code), using trace code based on linear OA(25645, 65537, F256, 23) (dual of [65537, 65492, 24]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 65537 | 2564−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (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(16101, 131091, F16, 23) (dual of [131091, 130990, 24]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(16102, 131098, F16, 23) (dual of [131098, 130996, 24]-code) | [i] | ||
| 3 | Linear OA(16103, 131107, F16, 23) (dual of [131107, 131004, 24]-code) | [i] | ||
| 4 | Linear OA(16104, 131112, F16, 23) (dual of [131112, 131008, 24]-code) | [i] | ||
| 5 | Linear OA(16105, 131119, F16, 23) (dual of [131119, 131014, 24]-code) | [i] | ||
| 6 | Linear OOA(1690, 73369, F16, 2, 23) (dual of [(73369, 2), 146648, 24]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 7 | Digital (67, 90, 73369)-net over F16 | [i] | ||
| 8 | Linear OA(16105, 131090, F16, 23) (dual of [131090, 130985, 24]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 9 | Linear OOA(1690, 11915, F16, 23, 23) (dual of [(11915, 23), 273955, 24]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |