Information on Result #1054207
Linear OOA(2234, 2048, F2, 4, 36) (dual of [(2048, 4), 7958, 37]-NRT-code), using OOA 4-folding based on linear OA(2234, 8192, F2, 36) (dual of [8192, 7958, 37]-code), using
- 1 times truncation [i] based on linear OA(2235, 8193, F2, 37) (dual of [8193, 7958, 38]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 8193 | 226−1, defining interval I = [0,18], and minimum distance d ≥ |{−18,−17,…,18}|+1 = 38 (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(2234, 2048, F2, 5, 36) (dual of [(2048, 5), 10006, 37]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(2234, 2048, F2, 6, 36) (dual of [(2048, 6), 12054, 37]-NRT-code) | [i] | ||
| 3 | Linear OOA(2234, 2048, F2, 7, 36) (dual of [(2048, 7), 14102, 37]-NRT-code) | [i] | ||
| 4 | Linear OOA(2234, 2048, F2, 8, 36) (dual of [(2048, 8), 16150, 37]-NRT-code) | [i] | ||
| 5 | Digital (198, 234, 2048)-net over F2 | [i] | ||