Information on Result #988895
Linear OOA(4937, 801, F49, 3, 19) (dual of [(801, 3), 2366, 20]-NRT-code), using OOA 3-folding based on linear OA(4937, 2403, F49, 19) (dual of [2403, 2366, 20]-code), using
- construction X applied to Ce(18) ⊂ Ce(17) [i] based on
- 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(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(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(4946, 851, F49, 3, 19) (dual of [(851, 3), 2507, 20]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(4947, 852, F49, 3, 19) (dual of [(852, 3), 2509, 20]-NRT-code) | [i] | ||
| 3 | Linear OOA(4948, 853, F49, 3, 19) (dual of [(853, 3), 2511, 20]-NRT-code) | [i] | ||
| 4 | Linear OOA(4949, 854, F49, 3, 19) (dual of [(854, 3), 2513, 20]-NRT-code) | [i] | ||
| 5 | Linear OOA(4950, 901, F49, 3, 19) (dual of [(901, 3), 2653, 20]-NRT-code) | [i] | ||
| 6 | Linear OOA(4951, 902, F49, 3, 19) (dual of [(902, 3), 2655, 20]-NRT-code) | [i] | ||
| 7 | Linear OOA(4952, 903, F49, 3, 19) (dual of [(903, 3), 2657, 20]-NRT-code) | [i] | ||
| 8 | Linear OOA(4953, 904, F49, 3, 19) (dual of [(904, 3), 2659, 20]-NRT-code) | [i] | ||
| 9 | Linear OOA(4953, 951, F49, 3, 19) (dual of [(951, 3), 2800, 20]-NRT-code) | [i] | ||
| 10 | Digital (18, 37, 801)-net over F49 | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |