Information on Result #856574
Linear OOA(1676, 524288, F16, 2, 17) (dual of [(524288, 2), 1048500, 18]-NRT-code), using OOA 2-folding based on linear OA(1676, 1048576, F16, 17) (dual of [1048576, 1048500, 18]-code), using
- an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 165−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [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 OOA(1684, 524305, F16, 2, 17) (dual of [(524305, 2), 1048526, 18]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(1685, 524312, F16, 2, 17) (dual of [(524312, 2), 1048539, 18]-NRT-code) | [i] | ||
| 3 | Linear OOA(1686, 524321, F16, 2, 17) (dual of [(524321, 2), 1048556, 18]-NRT-code) | [i] | ||
| 4 | Linear OOA(1687, 524326, F16, 2, 17) (dual of [(524326, 2), 1048565, 18]-NRT-code) | [i] | ||
| 5 | Linear OOA(1688, 524333, F16, 2, 17) (dual of [(524333, 2), 1048578, 18]-NRT-code) | [i] | ||
| 6 | Linear OOA(1689, 524337, F16, 2, 17) (dual of [(524337, 2), 1048585, 18]-NRT-code) | [i] | ||
| 7 | Linear OOA(1690, 524353, F16, 2, 17) (dual of [(524353, 2), 1048616, 18]-NRT-code) | [i] | ||
| 8 | Digital (59, 76, 524288)-net over F16 | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |