Information on Result #873355
Linear OOA(4937, 58826, F49, 2, 13) (dual of [(58826, 2), 117615, 14]-NRT-code), using OOA 2-folding based on linear OA(4937, 117652, F49, 13) (dual of [117652, 117615, 14]-code), using
- construction X applied to Ce(12) ⊂ Ce(11) [i] based on
- linear OA(4937, 117649, F49, 13) (dual of [117649, 117612, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 117648 = 493−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(4934, 117649, F49, 12) (dual of [117649, 117615, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 117648 = 493−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(490, 3, F49, 0) (dual of [3, 3, 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(4943, 58876, F49, 2, 13) (dual of [(58876, 2), 117709, 14]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(4944, 58877, F49, 2, 13) (dual of [(58877, 2), 117710, 14]-NRT-code) | [i] | ||
| 3 | Linear OOA(4945, 58878, F49, 2, 13) (dual of [(58878, 2), 117711, 14]-NRT-code) | [i] | ||
| 4 | Linear OOA(4946, 58926, F49, 2, 13) (dual of [(58926, 2), 117806, 14]-NRT-code) | [i] | ||
| 5 | Linear OOA(4937, 58826, F49, 3, 13) (dual of [(58826, 3), 176441, 14]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 6 | Digital (24, 37, 58826)-net over F49 | [i] | ||