Information on Result #729442
Linear OA(4925, 152, F49, 15) (dual of [152, 127, 16]-code), using construction X applied to C([17,31]) ⊂ C([18,31]) based on
- linear OA(4925, 150, F49, 15) (dual of [150, 125, 16]-code), using the BCH-code C(I) with length 150 | 492−1, defining interval I = {17,18,…,31}, and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(4923, 150, F49, 14) (dual of [150, 127, 15]-code), using the BCH-code C(I) with length 150 | 492−1, defining interval I = {18,19,…,31}, and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(490, 2, F49, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(490, s, F49, 0) (dual of [s, s, 1]-code) for arbitrarily large s, 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(4925, 151, F49, 2, 15) (dual of [(151, 2), 277, 16]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4925, 151, F49, 3, 15) (dual of [(151, 3), 428, 16]-NRT-code) | [i] | ||
| 3 | Digital (10, 25, 151)-net over F49 | [i] | ||