Information on Result #1692641
Linear OOA(244, 874, F2, 8, 8) (dual of [(874, 8), 6948, 9]-NRT-code), using appending kth column based on linear OOA(244, 874, F2, 7, 8) (dual of [(874, 7), 6074, 9]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(244, 874, F2, 2, 8) (dual of [(874, 2), 1704, 9]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(244, 1024, F2, 2, 8) (dual of [(1024, 2), 2004, 9]-NRT-code), using
- OOA 2-folding [i] based on linear OA(244, 2048, F2, 8) (dual of [2048, 2004, 9]-code), using
- 1 times truncation [i] based on linear OA(245, 2049, F2, 9) (dual of [2049, 2004, 10]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 2049 | 222−1, 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(245, 2049, F2, 9) (dual of [2049, 2004, 10]-code), using
- OOA 2-folding [i] based on linear OA(244, 2048, F2, 8) (dual of [2048, 2004, 9]-code), using
- discarding factors / shortening the dual code based on linear OOA(244, 1024, F2, 2, 8) (dual of [(1024, 2), 2004, 9]-NRT-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 (36, 44, 874)-net over F2 | [i] | Net Defined by OOA | |