Information on Result #808591
Linear OOA(2195, 511, F2, 2, 40) (dual of [(511, 2), 827, 41]-NRT-code), using OOA 2-folding based on linear OA(2195, 1022, F2, 40) (dual of [1022, 827, 41]-code), using
- discarding factors / shortening the dual code based on linear OA(2195, 1023, F2, 40) (dual of [1023, 828, 41]-code), using
- the primitive narrow-sense BCH-code C(I) with length 1023 = 210−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [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(2195, 493, F2, 3, 40) (dual of [(493, 3), 1284, 41]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(2195, 493, F2, 4, 40) (dual of [(493, 4), 1777, 41]-NRT-code) | [i] | ||
| 3 | Linear OOA(2195, 493, F2, 5, 40) (dual of [(493, 5), 2270, 41]-NRT-code) | [i] | ||
| 4 | Linear OOA(2195, 493, F2, 6, 40) (dual of [(493, 6), 2763, 41]-NRT-code) | [i] | ||
| 5 | Linear OOA(2195, 493, F2, 7, 40) (dual of [(493, 7), 3256, 41]-NRT-code) | [i] | ||
| 6 | Linear OOA(2195, 493, F2, 8, 40) (dual of [(493, 8), 3749, 41]-NRT-code) | [i] | ||
| 7 | Digital (155, 195, 493)-net over F2 | [i] | ||