Information on Result #1315571
Linear OA(4924, 166, F49, 14) (dual of [166, 142, 15]-code), using 13 step Varšamov–Edel lengthening with (ri) = (1, 12 times 0) based on linear OA(4923, 152, F49, 14) (dual of [152, 129, 15]-code), using
- construction X applied to C([18,31]) ⊂ C([19,31]) [i] based on
- 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(4921, 150, F49, 13) (dual of [150, 129, 14]-code), using the BCH-code C(I) with length 150 | 492−1, defining interval I = {19,20,…,31}, and designed minimum distance d ≥ |I|+1 = 14 [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: 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(4924, 166, F49, 2, 14) (dual of [(166, 2), 308, 15]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4924, 166, F49, 3, 14) (dual of [(166, 3), 474, 15]-NRT-code) | [i] | ||
| 3 | Digital (10, 24, 166)-net over F49 | [i] | ||