Information on Result #669351
Linear OA(4910, 4706, F49, 5) (dual of [4706, 4696, 6]-code), using (u, u+v)-construction based on
- linear OA(493, 2353, F49, 2) (dual of [2353, 2350, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(493, 2451, F49, 2) (dual of [2451, 2448, 3]-code), using
- Hamming code H(3,49) [i]
- discarding factors / shortening the dual code based on linear OA(493, 2451, F49, 2) (dual of [2451, 2448, 3]-code), using
- linear OA(497, 2353, F49, 5) (dual of [2353, 2346, 6]-code), 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 OA(4916, 122354, F49, 5) (dual of [122354, 122338, 6]-code) | [i] | Generalized (u, u+v)-Construction | |
| 2 | Linear OOA(4910, 4453, F49, 2, 5) (dual of [(4453, 2), 8896, 6]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(4910, 4453, F49, 3, 5) (dual of [(4453, 3), 13349, 6]-NRT-code) | [i] | ||
| 4 | Digital (5, 10, 4453)-net over F49 | [i] | ||
| 5 | Linear OOA(4910, 2353, F49, 2, 5) (dual of [(2353, 2), 4696, 6]-NRT-code) | [i] | OOA Folding | |