Information on Result #729515
Linear OA(4931, 202, F49, 18) (dual of [202, 171, 19]-code), using construction X applied to C([16,33]) ⊂ C([17,33]) based on
- linear OA(4931, 200, F49, 18) (dual of [200, 169, 19]-code), using the BCH-code C(I) with length 200 | 492−1, defining interval I = {16,17,…,33}, and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(4929, 200, F49, 17) (dual of [200, 171, 18]-code), using the BCH-code C(I) with length 200 | 492−1, defining interval I = {17,18,…,33}, and designed minimum distance d ≥ |I|+1 = 18 [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(4931, 202, F49, 2, 18) (dual of [(202, 2), 373, 19]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4931, 202, F49, 3, 18) (dual of [(202, 3), 575, 19]-NRT-code) | [i] | ||
| 3 | Digital (13, 31, 202)-net over F49 | [i] | ||
| 4 | Linear OOA(4931, 101, F49, 2, 18) (dual of [(101, 2), 171, 19]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(4931, 67, F49, 3, 18) (dual of [(67, 3), 170, 19]-NRT-code) | [i] | ||