Information on Result #616300
Linear OA(1653, 65536, F16, 14) (dual of [65536, 65483, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 65535 = 164−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14
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(1653, 58221, F16, 2, 14) (dual of [(58221, 2), 116389, 15]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (39, 53, 58221)-net over F16 | [i] | ||
| 3 | Linear OA(1657, 65540, F16, 15) (dual of [65540, 65483, 16]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 4 | Linear OA(1653, 65540, F16, 14) (dual of [65540, 65487, 15]-code) | [i] | ✔ | |
| 5 | Linear OA(1663, 65546, F16, 17) (dual of [65546, 65483, 18]-code) | [i] | ✔ | |
| 6 | Linear OA(1668, 65551, F16, 18) (dual of [65551, 65483, 19]-code) | [i] | ✔ | |
| 7 | Linear OA(1673, 65553, F16, 19) (dual of [65553, 65480, 20]-code) | [i] | ✔ | |
| 8 | Linear OOA(1653, 9362, F16, 14, 14) (dual of [(9362, 14), 131015, 15]-NRT-code) | [i] | OA Folding and Stacking | |