Information on Result #805460
Linear OOA(232, 128, F2, 2, 8) (dual of [(128, 2), 224, 9]-NRT-code), using OOA 2-folding based on linear OA(232, 256, F2, 8) (dual of [256, 224, 9]-code), using
- 1 times truncation [i] based on linear OA(233, 257, F2, 9) (dual of [257, 224, 10]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 257 | 216−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
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(2216, 4194429, F2, 2, 16) (dual of [(4194429, 2), 8388642, 17]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(2217, 4194429, F2, 2, 17) (dual of [(4194429, 2), 8388641, 18]-NRT-code) | [i] | ||
| 3 | Linear OOA(232, 128, F2, 3, 8) (dual of [(128, 3), 352, 9]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 4 | Linear OOA(232, 128, F2, 4, 8) (dual of [(128, 4), 480, 9]-NRT-code) | [i] | ||
| 5 | Linear OOA(232, 128, F2, 5, 8) (dual of [(128, 5), 608, 9]-NRT-code) | [i] | ||
| 6 | Linear OOA(232, 128, F2, 6, 8) (dual of [(128, 6), 736, 9]-NRT-code) | [i] | ||
| 7 | Linear OOA(232, 128, F2, 7, 8) (dual of [(128, 7), 864, 9]-NRT-code) | [i] | ||