Information on Result #2921513
Linear OOA(2237, 1398101, F2, 6, 20) (dual of [(1398101, 6), 8388369, 21]-NRT-code), using 24 times duplication based on linear OOA(2233, 1398101, F2, 6, 20) (dual of [(1398101, 6), 8388373, 21]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(2233, 2796202, F2, 3, 20) (dual of [(2796202, 3), 8388373, 21]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(2230, 2796201, F2, 3, 20) (dual of [(2796201, 3), 8388373, 21]-NRT-code), using
- OOA 3-folding [i] based on linear OA(2230, large, F2, 20) (dual of [large, large−230, 21]-code), using
- the primitive narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- OOA 3-folding [i] based on linear OA(2230, large, F2, 20) (dual of [large, large−230, 21]-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(2230, 2796201, F2, 3, 20) (dual of [(2796201, 3), 8388373, 21]-NRT-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m 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(2237, 1266110, F2, 7, 20) (dual of [(1266110, 7), 8862533, 21]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(2237, 1266110, F2, 8, 20) (dual of [(1266110, 8), 10128643, 21]-NRT-code) | [i] | ||
| 3 | Digital (217, 237, 1266110)-net over F2 | [i] | ||