Information on Result #807816
Linear OOA(2176, 1024, F2, 2, 32) (dual of [(1024, 2), 1872, 33]-NRT-code), using OOA 2-folding based on linear OA(2176, 2048, F2, 32) (dual of [2048, 1872, 33]-code), using
- 1 times truncation [i] based on linear OA(2177, 2049, F2, 33) (dual of [2049, 1872, 34]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 2049 | 222−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (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(2176, 706, F2, 3, 32) (dual of [(706, 3), 1942, 33]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(2176, 706, F2, 4, 32) (dual of [(706, 4), 2648, 33]-NRT-code) | [i] | ||
| 3 | Linear OOA(2176, 706, F2, 5, 32) (dual of [(706, 5), 3354, 33]-NRT-code) | [i] | ||
| 4 | Linear OOA(2176, 706, F2, 6, 32) (dual of [(706, 6), 4060, 33]-NRT-code) | [i] | ||
| 5 | Linear OOA(2176, 706, F2, 7, 32) (dual of [(706, 7), 4766, 33]-NRT-code) | [i] | ||
| 6 | Linear OOA(2176, 706, F2, 8, 32) (dual of [(706, 8), 5472, 33]-NRT-code) | [i] | ||
| 7 | Digital (144, 176, 706)-net over F2 | [i] | ||