Information on Result #945048
Linear OOA(288, 1398101, F2, 3, 8) (dual of [(1398101, 3), 4194215, 9]-NRT-code), using OOA 3-folding based on linear OA(288, 4194303, F2, 8) (dual of [4194303, 4194215, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(288, 4194304, F2, 8) (dual of [4194304, 4194216, 9]-code), using
- 1 times truncation [i] based on linear OA(289, 4194305, F2, 9) (dual of [4194305, 4194216, 10]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 4194305 | 244−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- 1 times truncation [i] based on linear OA(289, 4194305, F2, 9) (dual of [4194305, 4194216, 10]-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(288, 1398101, F2, 4, 8) (dual of [(1398101, 4), 5592316, 9]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(288, 1398101, F2, 5, 8) (dual of [(1398101, 5), 6990417, 9]-NRT-code) | [i] | ||
| 3 | Linear OOA(288, 1398101, F2, 6, 8) (dual of [(1398101, 6), 8388518, 9]-NRT-code) | [i] | ||
| 4 | Linear OOA(288, 1398101, F2, 7, 8) (dual of [(1398101, 7), 9786619, 9]-NRT-code) | [i] | ||