Information on Result #808020
Linear OOA(2165, 511, F2, 2, 34) (dual of [(511, 2), 857, 35]-NRT-code), using OOA 2-folding based on linear OA(2165, 1022, F2, 34) (dual of [1022, 857, 35]-code), using
- discarding factors / shortening the dual code based on linear OA(2165, 1023, F2, 34) (dual of [1023, 858, 35]-code), using
- the primitive narrow-sense BCH-code C(I) with length 1023 = 210−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [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(2165, 432, F2, 3, 34) (dual of [(432, 3), 1131, 35]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(2165, 432, F2, 4, 34) (dual of [(432, 4), 1563, 35]-NRT-code) | [i] | ||
| 3 | Linear OOA(2165, 432, F2, 5, 34) (dual of [(432, 5), 1995, 35]-NRT-code) | [i] | ||
| 4 | Linear OOA(2165, 432, F2, 6, 34) (dual of [(432, 6), 2427, 35]-NRT-code) | [i] | ||
| 5 | Linear OOA(2165, 432, F2, 7, 34) (dual of [(432, 7), 2859, 35]-NRT-code) | [i] | ||
| 6 | Linear OOA(2165, 432, F2, 8, 34) (dual of [(432, 8), 3291, 35]-NRT-code) | [i] | ||
| 7 | Digital (131, 165, 432)-net over F2 | [i] | ||