Information on Result #805571
Linear OOA(227, 31, F2, 2, 10) (dual of [(31, 2), 35, 11]-NRT-code), using OOA 2-folding based on linear OA(227, 62, F2, 10) (dual of [62, 35, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(227, 63, F2, 10) (dual of [63, 36, 11]-code), using
- the primitive narrow-sense BCH-code C(I) with length 63 = 26−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 11 [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(2257, 4194332, F2, 2, 20) (dual of [(4194332, 2), 8388407, 21]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(2258, 4194332, F2, 2, 21) (dual of [(4194332, 2), 8388406, 22]-NRT-code) | [i] | ||
| 3 | Linear OOA(227, 31, F2, 3, 10) (dual of [(31, 3), 66, 11]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 4 | Linear OOA(227, 31, F2, 4, 10) (dual of [(31, 4), 97, 11]-NRT-code) | [i] | ||
| 5 | Linear OOA(227, 31, F2, 5, 10) (dual of [(31, 5), 128, 11]-NRT-code) | [i] | ||
| 6 | Linear OOA(227, 31, F2, 6, 10) (dual of [(31, 6), 159, 11]-NRT-code) | [i] | ||
| 7 | Linear OOA(227, 31, F2, 7, 10) (dual of [(31, 7), 190, 11]-NRT-code) | [i] | ||
| 8 | Linear OOA(227, 31, F2, 8, 10) (dual of [(31, 8), 221, 11]-NRT-code) | [i] | ||
| 9 | Digital (17, 27, 31)-net over F2 | [i] | ||