Information on Result #809264
Linear OOA(2226, 512, F2, 2, 47) (dual of [(512, 2), 798, 48]-NRT-code), using OOA 2-folding based on linear OA(2226, 1024, F2, 47) (dual of [1024, 798, 48]-code), using
- an extension Ce(46) of the primitive narrow-sense BCH-code C(I) with length 1023 = 210−1, defining interval I = [1,46], and designed minimum distance d ≥ |I|+1 = 47 [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(2226, 512, F2, 3, 47) (dual of [(512, 3), 1310, 48]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(2226, 512, F2, 4, 47) (dual of [(512, 4), 1822, 48]-NRT-code) | [i] | ||
| 3 | Linear OOA(2226, 512, F2, 5, 47) (dual of [(512, 5), 2334, 48]-NRT-code) | [i] | ||
| 4 | Linear OOA(2226, 512, F2, 6, 47) (dual of [(512, 6), 2846, 48]-NRT-code) | [i] | ||
| 5 | Linear OOA(2226, 512, F2, 7, 47) (dual of [(512, 7), 3358, 48]-NRT-code) | [i] | ||
| 6 | Linear OOA(2226, 512, F2, 8, 47) (dual of [(512, 8), 3870, 48]-NRT-code) | [i] | ||
| 7 | Digital (179, 226, 512)-net over F2 | [i] | ||