Information on Result #606496
Linear OA(4942, 49, F49, 42) (dual of [49, 7, 43]-code or 49-arc in PG(41,49)), using Reed–Solomon code RS(7,49)
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(4945, 52, F49, 44) (dual of [52, 7, 45]-code) | [i] | ✔ | Construction X with Reed–Solomon Codes |
| 2 | Linear OA(4943, 52, F49, 42) (dual of [52, 9, 43]-code) | [i] | ✔ | |
| 3 | Linear OA(4947, 54, F49, 45) (dual of [54, 7, 46]-code) | [i] | ✔ | |
| 4 | Linear OA(4944, 54, F49, 42) (dual of [54, 10, 43]-code) | [i] | ✔ | |
| 5 | Linear OA(4949, 56, F49, 46) (dual of [56, 7, 47]-code) | [i] | ✔ | |
| 6 | Linear OA(4945, 56, F49, 42) (dual of [56, 11, 43]-code) | [i] | ✔ | |
| 7 | Linear OA(4951, 58, F49, 47) (dual of [58, 7, 48]-code) | [i] | ✔ | |
| 8 | Linear OA(4946, 58, F49, 42) (dual of [58, 12, 43]-code) | [i] | ✔ | |
| 9 | Linear OA(4953, 60, F49, 48) (dual of [60, 7, 49]-code) | [i] | ✔ | |
| 10 | Linear OA(4947, 60, F49, 42) (dual of [60, 13, 43]-code) | [i] | ✔ | |
| 11 | Linear OA(4948, 62, F49, 42) (dual of [62, 14, 43]-code) | [i] | ✔ | |
| 12 | Linear OA(4949, 64, F49, 42) (dual of [64, 15, 43]-code) | [i] | ✔ | |
| 13 | Linear OA(4950, 66, F49, 42) (dual of [66, 16, 43]-code) | [i] | ✔ | |
| 14 | Linear OA(4951, 68, F49, 42) (dual of [68, 17, 43]-code) | [i] | ✔ | |
| 15 | Linear OA(4952, 70, F49, 42) (dual of [70, 18, 43]-code) | [i] | ✔ | |
| 16 | Linear OA(4953, 72, F49, 42) (dual of [72, 19, 43]-code) | [i] | ✔ | |
| 17 | Linear OA(4954, 74, F49, 42) (dual of [74, 20, 43]-code) | [i] | ✔ | |
| 18 | Linear OA(4955, 76, F49, 42) (dual of [76, 21, 43]-code) | [i] | ✔ | |