Information on Result #945046
Linear OOA(284, 699050, F2, 3, 8) (dual of [(699050, 3), 2097066, 9]-NRT-code), using OOA 3-folding based on linear OA(284, 2097150, F2, 8) (dual of [2097150, 2097066, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(284, 2097152, F2, 8) (dual of [2097152, 2097068, 9]-code), using
- 1 times truncation [i] based on linear OA(285, 2097153, F2, 9) (dual of [2097153, 2097068, 10]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 2097153 | 242−1, 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(285, 2097153, F2, 9) (dual of [2097153, 2097068, 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(284, 699050, F2, 4, 8) (dual of [(699050, 4), 2796116, 9]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(284, 699050, F2, 5, 8) (dual of [(699050, 5), 3495166, 9]-NRT-code) | [i] | ||
| 3 | Linear OOA(284, 699050, F2, 6, 8) (dual of [(699050, 6), 4194216, 9]-NRT-code) | [i] | ||
| 4 | Linear OOA(284, 699050, F2, 7, 8) (dual of [(699050, 7), 4893266, 9]-NRT-code) | [i] | ||