Information on Result #1132056
Linear OOA(2187, 21845, F2, 6, 22) (dual of [(21845, 6), 130883, 23]-NRT-code), using OOA 6-folding based on linear OA(2187, 131070, F2, 22) (dual of [131070, 130883, 23]-code), using
- discarding factors / shortening the dual code based on linear OA(2187, 131071, F2, 22) (dual of [131071, 130884, 23]-code), using
- 1 times truncation [i] based on linear OA(2188, 131072, F2, 23) (dual of [131072, 130884, 24]-code), using
- an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 131071 = 217−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- 1 times truncation [i] based on linear OA(2188, 131072, F2, 23) (dual of [131072, 130884, 24]-code), using
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(2187, 21845, F2, 7, 22) (dual of [(21845, 7), 152728, 23]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(2187, 21845, F2, 8, 22) (dual of [(21845, 8), 174573, 23]-NRT-code) | [i] | ||
| 3 | Digital (165, 187, 21845)-net over F2 | [i] | ||