Information on Result #806644
Linear OOA(299, 255, F2, 2, 22) (dual of [(255, 2), 411, 23]-NRT-code), using OOA 2-folding based on linear OA(299, 510, F2, 22) (dual of [510, 411, 23]-code), using
- discarding factors / shortening the dual code based on linear OA(299, 511, F2, 22) (dual of [511, 412, 23]-code), using
- the primitive narrow-sense BCH-code C(I) with length 511 = 29−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [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(299, 247, F2, 3, 22) (dual of [(247, 3), 642, 23]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(299, 247, F2, 4, 22) (dual of [(247, 4), 889, 23]-NRT-code) | [i] | ||
| 3 | Linear OOA(299, 247, F2, 5, 22) (dual of [(247, 5), 1136, 23]-NRT-code) | [i] | ||
| 4 | Linear OOA(299, 247, F2, 6, 22) (dual of [(247, 6), 1383, 23]-NRT-code) | [i] | ||
| 5 | Linear OOA(299, 247, F2, 7, 22) (dual of [(247, 7), 1630, 23]-NRT-code) | [i] | ||
| 6 | Linear OOA(299, 247, F2, 8, 22) (dual of [(247, 8), 1877, 23]-NRT-code) | [i] | ||
| 7 | Digital (77, 99, 247)-net over F2 | [i] | ||