Information on Result #616273
Linear OA(1645, 65536, F16, 12) (dual of [65536, 65491, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 65535 = 164−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12
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(1645, 59976, F16, 2, 12) (dual of [(59976, 2), 119907, 13]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (33, 45, 59976)-net over F16 | [i] | ||
| 3 | Linear OA(1649, 65540, F16, 13) (dual of [65540, 65491, 14]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 4 | Linear OA(1645, 65540, F16, 12) (dual of [65540, 65495, 13]-code) | [i] | ✔ | |
| 5 | Linear OA(1665, 65553, F16, 17) (dual of [65553, 65488, 18]-code) | [i] | ✔ | |