Information on Result #1097116
Linear OOA(2224, 3276, F2, 5, 32) (dual of [(3276, 5), 16156, 33]-NRT-code), using OOA 5-folding based on linear OA(2224, 16380, F2, 32) (dual of [16380, 16156, 33]-code), using
- discarding factors / shortening the dual code based on linear OA(2224, 16384, F2, 32) (dual of [16384, 16160, 33]-code), using
- 1 times truncation [i] based on linear OA(2225, 16385, F2, 33) (dual of [16385, 16160, 34]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16385 | 228−1, 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(2225, 16385, F2, 33) (dual of [16385, 16160, 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(2224, 3276, F2, 6, 32) (dual of [(3276, 6), 19432, 33]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(2224, 3276, F2, 7, 32) (dual of [(3276, 7), 22708, 33]-NRT-code) | [i] | ||
| 3 | Linear OOA(2224, 3276, F2, 8, 32) (dual of [(3276, 8), 25984, 33]-NRT-code) | [i] | ||
| 4 | Digital (192, 224, 3276)-net over F2 | [i] | ||