Information on Result #988918
Linear OOA(4939, 801, F49, 3, 20) (dual of [(801, 3), 2364, 21]-NRT-code), using OOA 3-folding based on linear OA(4939, 2403, F49, 20) (dual of [2403, 2364, 21]-code), using
- construction X applied to Ce(19) ⊂ Ce(18) [i] based on
- 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(4937, 2401, F49, 19) (dual of [2401, 2364, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 2400 = 492−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [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(4949, 851, F49, 3, 20) (dual of [(851, 3), 2504, 21]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(4950, 852, F49, 3, 20) (dual of [(852, 3), 2506, 21]-NRT-code) | [i] | ||
| 3 | Linear OOA(4951, 853, F49, 3, 20) (dual of [(853, 3), 2508, 21]-NRT-code) | [i] | ||
| 4 | Linear OOA(4952, 854, F49, 3, 20) (dual of [(854, 3), 2510, 21]-NRT-code) | [i] | ||
| 5 | Linear OOA(4953, 855, F49, 3, 20) (dual of [(855, 3), 2512, 21]-NRT-code) | [i] | ||
| 6 | Linear OOA(4954, 901, F49, 3, 20) (dual of [(901, 3), 2649, 21]-NRT-code) | [i] | ||
| 7 | Linear OOA(4955, 902, F49, 3, 20) (dual of [(902, 3), 2651, 21]-NRT-code) | [i] | ||
| 8 | Digital (19, 39, 801)-net over F49 | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |