Information on Result #698360
Linear OA(4910, 242, F49, 6) (dual of [242, 232, 7]-code), using construction X applied to Ce(5) ⊂ Ce(4) based on
- linear OA(4910, 241, F49, 6) (dual of [241, 231, 7]-code), using an extension Ce(5) of the narrow-sense BCH-code C(I) with length 240 | 492−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(499, 241, F49, 5) (dual of [241, 232, 6]-code), using an extension Ce(4) of the narrow-sense BCH-code C(I) with length 240 | 492−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(490, 1, F49, 0) (dual of [1, 1, 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 OA(4935, 2645, F49, 13) (dual of [2645, 2610, 14]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(4947, 117894, F49, 13) (dual of [117894, 117847, 14]-code) | [i] | ||
| 3 | Linear OA(4944, 117894, F49, 12) (dual of [117894, 117850, 13]-code) | [i] | ||
| 4 | Linear OA(4955, 5765047, F49, 12) (dual of [5765047, 5764992, 13]-code) | [i] | ||
| 5 | Linear OOA(4910, 242, F49, 2, 6) (dual of [(242, 2), 474, 7]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 6 | Linear OOA(4910, 242, F49, 3, 6) (dual of [(242, 3), 716, 7]-NRT-code) | [i] | ||
| 7 | Digital (4, 10, 242)-net over F49 | [i] | ||
| 8 | Linear OOA(4910, 121, F49, 2, 6) (dual of [(121, 2), 232, 7]-NRT-code) | [i] | OOA Folding | |