Information on Result #1132987
Linear OOA(2256, 10922, F2, 6, 32) (dual of [(10922, 6), 65276, 33]-NRT-code), using OOA 6-folding based on linear OA(2256, 65532, F2, 32) (dual of [65532, 65276, 33]-code), using
- discarding factors / shortening the dual code based on linear OA(2256, 65536, F2, 32) (dual of [65536, 65280, 33]-code), using
- 1 times truncation [i] based on linear OA(2257, 65537, F2, 33) (dual of [65537, 65280, 34]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 65537 | 232−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (BCH-bound) [i]
- 1 times truncation [i] based on linear OA(2257, 65537, F2, 33) (dual of [65537, 65280, 34]-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(2256, 10385, F2, 7, 32) (dual of [(10385, 7), 72439, 33]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(2256, 10385, F2, 8, 32) (dual of [(10385, 8), 82824, 33]-NRT-code) | [i] | ||
| 3 | Digital (224, 256, 10385)-net over F2 | [i] | ||