Information on Result #946228
Linear OOA(2132, 1365, F2, 3, 22) (dual of [(1365, 3), 3963, 23]-NRT-code), using OOA 3-folding based on linear OA(2132, 4095, F2, 22) (dual of [4095, 3963, 23]-code), using
- 1 times truncation [i] based on linear OA(2133, 4096, F2, 23) (dual of [4096, 3963, 24]-code), using
- an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 4095 = 212−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [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(2132, 1059, F2, 4, 22) (dual of [(1059, 4), 4104, 23]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(2132, 1059, F2, 5, 22) (dual of [(1059, 5), 5163, 23]-NRT-code) | [i] | ||
| 3 | Linear OOA(2132, 1059, F2, 6, 22) (dual of [(1059, 6), 6222, 23]-NRT-code) | [i] | ||
| 4 | Linear OOA(2132, 1059, F2, 7, 22) (dual of [(1059, 7), 7281, 23]-NRT-code) | [i] | ||
| 5 | Linear OOA(2132, 1059, F2, 8, 22) (dual of [(1059, 8), 8340, 23]-NRT-code) | [i] | ||
| 6 | Digital (110, 132, 1059)-net over F2 | [i] | ||