Information on Result #618463
Linear OA(4917, 5764802, F49, 5) (dual of [5764802, 5764785, 6]-code), using the expurgated narrow-sense BCH-code C(I) with length 5764802 | 498−1, defining interval I = [0,2], and minimum distance d ≥ |{−2,−1,0,1,2}|+1 = 6 (BCH-bound)
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(734, large, F7, 5) (dual of [large, large−34, 6]-code) | [i] | Trace Code | |
| 2 | Linear OA(4919, 5764852, F49, 5) (dual of [5764852, 5764833, 6]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(4920, 5767253, F49, 5) (dual of [5767253, 5767233, 6]-code) | [i] | ||
| 4 | Linear OA(4920, 5764902, F49, 5) (dual of [5764902, 5764882, 6]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 5 | Linear OA(4919, 5764805, F49, 5) (dual of [5764805, 5764786, 6]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 6 | Linear OA(4926, 5764811, F49, 7) (dual of [5764811, 5764785, 8]-code) | [i] | ✔ | |
| 7 | Linear OA(4918, 5764811, F49, 5) (dual of [5764811, 5764793, 6]-code) | [i] | ✔ | |
| 8 | Linear OA(4936, 5764821, F49, 9) (dual of [5764821, 5764785, 10]-code) | [i] | ✔ | |
| 9 | Linear OA(4926, 5764812, F49, 7) (dual of [5764812, 5764786, 8]-code) | [i] | ✔ | Construction X4 with Cyclic Codes |
| 10 | Linear OA(4918, 5764812, F49, 5) (dual of [5764812, 5764794, 6]-code) | [i] | ✔ | |