Information on Result #698294
Linear OA(4952, 2418, F49, 24) (dual of [2418, 2366, 25]-code), using construction X applied to Ce(23) ⊂ Ce(17) based on
- linear OA(4947, 2401, F49, 24) (dual of [2401, 2354, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 2400 = 492−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(4935, 2401, F49, 18) (dual of [2401, 2366, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 2400 = 492−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(495, 17, F49, 5) (dual of [17, 12, 6]-code or 17-arc in PG(4,49)), using
- discarding factors / shortening the dual code based on linear OA(495, 49, F49, 5) (dual of [49, 44, 6]-code or 49-arc in PG(4,49)), using
- Reed–Solomon code RS(44,49) [i]
- discarding factors / shortening the dual code based on linear OA(495, 49, F49, 5) (dual of [49, 44, 6]-code or 49-arc in PG(4,49)), 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(4952, 1552, F49, 2, 24) (dual of [(1552, 2), 3052, 25]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4952, 1552, F49, 3, 24) (dual of [(1552, 3), 4604, 25]-NRT-code) | [i] | ||
| 3 | Digital (28, 52, 1552)-net over F49 | [i] | ||
| 4 | Linear OOA(4952, 1209, F49, 2, 24) (dual of [(1209, 2), 2366, 25]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(4952, 806, F49, 3, 24) (dual of [(806, 3), 2366, 25]-NRT-code) | [i] | ||