Information on Result #945034
Linear OOA(268, 43690, F2, 3, 8) (dual of [(43690, 3), 131002, 9]-NRT-code), using OOA 3-folding based on linear OA(268, 131070, F2, 8) (dual of [131070, 131002, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(268, 131072, F2, 8) (dual of [131072, 131004, 9]-code), using
- 1 times truncation [i] based on linear OA(269, 131073, F2, 9) (dual of [131073, 131004, 10]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 131073 | 234−1, 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(269, 131073, F2, 9) (dual of [131073, 131004, 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(2252, 2839891, F2, 3, 16) (dual of [(2839891, 3), 8519421, 17]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(2253, 2839891, F2, 3, 17) (dual of [(2839891, 3), 8519420, 18]-NRT-code) | [i] | ||
| 3 | Linear OOA(268, 43690, F2, 4, 8) (dual of [(43690, 4), 174692, 9]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 4 | Linear OOA(268, 43690, F2, 5, 8) (dual of [(43690, 5), 218382, 9]-NRT-code) | [i] | ||
| 5 | Linear OOA(268, 43690, F2, 6, 8) (dual of [(43690, 6), 262072, 9]-NRT-code) | [i] | ||
| 6 | Linear OOA(268, 43690, F2, 7, 8) (dual of [(43690, 7), 305762, 9]-NRT-code) | [i] | ||