Information on Result #1053656
Linear OOA(2181, 1024, F2, 4, 31) (dual of [(1024, 4), 3915, 32]-NRT-code), using OOA 4-folding based on linear OA(2181, 4096, F2, 31) (dual of [4096, 3915, 32]-code), using
- an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 4095 = 212−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [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(2181, 1024, F2, 5, 31) (dual of [(1024, 5), 4939, 32]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(2181, 1024, F2, 6, 31) (dual of [(1024, 6), 5963, 32]-NRT-code) | [i] | ||
| 3 | Linear OOA(2181, 1024, F2, 7, 31) (dual of [(1024, 7), 6987, 32]-NRT-code) | [i] | ||
| 4 | Linear OOA(2181, 1024, F2, 8, 31) (dual of [(1024, 8), 8011, 32]-NRT-code) | [i] | ||
| 5 | Digital (150, 181, 1024)-net over F2 | [i] | ||