Information on Result #988939
Linear OOA(4941, 801, F49, 3, 21) (dual of [(801, 3), 2362, 22]-NRT-code), using OOA 3-folding based on linear OA(4941, 2403, F49, 21) (dual of [2403, 2362, 22]-code), using
- construction X applied to Ce(20) ⊂ Ce(19) [i] based on
- linear OA(4941, 2401, F49, 21) (dual of [2401, 2360, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 2400 = 492−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(4939, 2401, F49, 20) (dual of [2401, 2362, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 2400 = 492−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [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(4951, 851, F49, 3, 21) (dual of [(851, 3), 2502, 22]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(4952, 852, F49, 3, 21) (dual of [(852, 3), 2504, 22]-NRT-code) | [i] | ||
| 3 | Linear OOA(4953, 853, F49, 3, 21) (dual of [(853, 3), 2506, 22]-NRT-code) | [i] | ||
| 4 | Linear OOA(4954, 854, F49, 3, 21) (dual of [(854, 3), 2508, 22]-NRT-code) | [i] | ||
| 5 | Linear OOA(4955, 855, F49, 3, 21) (dual of [(855, 3), 2510, 22]-NRT-code) | [i] | ||
| 6 | Digital (20, 41, 801)-net over F49 | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |