Information on Result #1692649
Linear OOA(252, 2730, F2, 8, 8) (dual of [(2730, 8), 21788, 9]-NRT-code), using appending kth column based on linear OOA(252, 2730, F2, 7, 8) (dual of [(2730, 7), 19058, 9]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(252, 2730, F2, 3, 8) (dual of [(2730, 3), 8138, 9]-NRT-code), using
- OOA 3-folding [i] based on linear OA(252, 8190, F2, 8) (dual of [8190, 8138, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(252, 8192, F2, 8) (dual of [8192, 8140, 9]-code), using
- 1 times truncation [i] based on linear OA(253, 8193, F2, 9) (dual of [8193, 8140, 10]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 8193 | 226−1, 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(253, 8193, F2, 9) (dual of [8193, 8140, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(252, 8192, F2, 8) (dual of [8192, 8140, 9]-code), using
- OOA 3-folding [i] based on linear OA(252, 8190, F2, 8) (dual of [8190, 8138, 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 | Digital (44, 52, 2730)-net over F2 | [i] | Net Defined by OOA | |