Information on Result #1051488
Linear OOA(291, 8192, F2, 4, 13) (dual of [(8192, 4), 32677, 14]-NRT-code), using OOA 4-folding based on linear OA(291, 32768, F2, 13) (dual of [32768, 32677, 14]-code), using
- an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 32767 = 215−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [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(291, 7059, F2, 5, 13) (dual of [(7059, 5), 35204, 14]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(291, 7059, F2, 6, 13) (dual of [(7059, 6), 42263, 14]-NRT-code) | [i] | ||
| 3 | Linear OOA(291, 7059, F2, 7, 13) (dual of [(7059, 7), 49322, 14]-NRT-code) | [i] | ||
| 4 | Linear OOA(291, 7059, F2, 8, 13) (dual of [(7059, 8), 56381, 14]-NRT-code) | [i] | ||
| 5 | Digital (78, 91, 7059)-net over F2 | [i] | ||