Information on Result #1588812
Linear OOA(248, 1526, F2, 4, 8) (dual of [(1526, 4), 6056, 9]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(248, 1526, F2, 2, 8) (dual of [(1526, 2), 3004, 9]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(248, 2048, F2, 2, 8) (dual of [(2048, 2), 4048, 9]-NRT-code), using
- OOA 2-folding [i] based on linear OA(248, 4096, F2, 8) (dual of [4096, 4048, 9]-code), using
- 1 times truncation [i] based on linear OA(249, 4097, F2, 9) (dual of [4097, 4048, 10]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 4097 | 224−1, 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(249, 4097, F2, 9) (dual of [4097, 4048, 10]-code), using
- OOA 2-folding [i] based on linear OA(248, 4096, F2, 8) (dual of [4096, 4048, 9]-code), using
Mode: 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(2233, 2098676, F2, 4, 17) (dual of [(2098676, 4), 8394471, 18]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(248, 1525, F2, 5, 8) (dual of [(1525, 5), 7577, 9]-NRT-code) | [i] | OOA Stacking with Additional Row | |
| 3 | Linear OOA(248, 1525, F2, 6, 8) (dual of [(1525, 6), 9102, 9]-NRT-code) | [i] | ||
| 4 | Linear OOA(248, 1525, F2, 7, 8) (dual of [(1525, 7), 10627, 9]-NRT-code) | [i] | ||
| 5 | Linear OOA(248, 1525, F2, 8, 8) (dual of [(1525, 8), 12152, 9]-NRT-code) | [i] | ||