Information on Result #807912
Linear OOA(2161, 512, F2, 2, 33) (dual of [(512, 2), 863, 34]-NRT-code), using OOA 2-folding based on linear OA(2161, 1024, F2, 33) (dual of [1024, 863, 34]-code), using
- an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 1023 = 210−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [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(2161, 433, F2, 3, 33) (dual of [(433, 3), 1138, 34]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(2161, 433, F2, 4, 33) (dual of [(433, 4), 1571, 34]-NRT-code) | [i] | ||
| 3 | Linear OOA(2161, 433, F2, 5, 33) (dual of [(433, 5), 2004, 34]-NRT-code) | [i] | ||
| 4 | Linear OOA(2161, 433, F2, 6, 33) (dual of [(433, 6), 2437, 34]-NRT-code) | [i] | ||
| 5 | Linear OOA(2161, 433, F2, 7, 33) (dual of [(433, 7), 2870, 34]-NRT-code) | [i] | ||
| 6 | Linear OOA(2161, 433, F2, 8, 33) (dual of [(433, 8), 3303, 34]-NRT-code) | [i] | ||
| 7 | Digital (128, 161, 433)-net over F2 | [i] | ||