Information on Result #629220
Linear OA(1682, 131074, F16, 21) (dual of [131074, 130992, 22]-code), using trace code based on linear OA(25641, 65537, F256, 21) (dual of [65537, 65496, 22]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 65537 | 2564−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (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(1692, 131091, F16, 21) (dual of [131091, 130999, 22]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(1693, 131098, F16, 21) (dual of [131098, 131005, 22]-code) | [i] | ||
| 3 | Linear OA(1694, 131107, F16, 21) (dual of [131107, 131013, 22]-code) | [i] | ||
| 4 | Linear OA(1695, 131112, F16, 21) (dual of [131112, 131017, 22]-code) | [i] | ||
| 5 | Linear OOA(1682, 71849, F16, 2, 21) (dual of [(71849, 2), 143616, 22]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 6 | Digital (61, 82, 71849)-net over F16 | [i] | ||
| 7 | Linear OOA(1682, 13107, F16, 21, 21) (dual of [(13107, 21), 275165, 22]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |