Information on Result #669062
Linear OA(4912, 9412, F49, 5) (dual of [9412, 9400, 6]-code), using generalized (u, u+v)-construction based on
- linear OA(491, 2353, F49, 1) (dual of [2353, 2352, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(491, s, F49, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- linear OA(491, 2353, F49, 1) (dual of [2353, 2352, 2]-code) (see above)
- 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 OOA(4912, 9412, F49, 2, 5) (dual of [(9412, 2), 18812, 6]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4912, 9412, F49, 3, 5) (dual of [(9412, 3), 28224, 6]-NRT-code) | [i] | ||
| 3 | Digital (7, 12, 9412)-net over F49 | [i] | ||
| 4 | Linear OOA(4912, 4706, F49, 2, 5) (dual of [(4706, 2), 9400, 6]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(4912, 4705, F49, 3, 5) (dual of [(4705, 3), 14103, 6]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |
| 6 | Linear OOA(4912, 4705, F49, 5, 5) (dual of [(4705, 5), 23513, 6]-NRT-code) | [i] | ||