Information on Result #606494

Linear OA(4940, 49, F49, 40) (dual of [49, 9, 41]-code or 49-arc in PG(39,49)), using Reed–Solomon code RS(9,49)

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:

ResultThis
result
only		Method
1Linear OA(4943, 52, F49, 42) (dual of [52, 9, 43]-code) [i]✔Construction X with Reed–Solomon Codes
2Linear OA(4941, 52, F49, 40) (dual of [52, 11, 41]-code) [i]✔
3Linear OA(4945, 54, F49, 43) (dual of [54, 9, 44]-code) [i]✔
4Linear OA(4942, 54, F49, 40) (dual of [54, 12, 41]-code) [i]✔
5Linear OA(4947, 56, F49, 44) (dual of [56, 9, 45]-code) [i]✔
6Linear OA(4943, 56, F49, 40) (dual of [56, 13, 41]-code) [i]✔
7Linear OA(4949, 58, F49, 45) (dual of [58, 9, 46]-code) [i]✔
8Linear OA(4944, 58, F49, 40) (dual of [58, 14, 41]-code) [i]✔
9Linear OA(4951, 60, F49, 46) (dual of [60, 9, 47]-code) [i]✔
10Linear OA(4945, 60, F49, 40) (dual of [60, 15, 41]-code) [i]✔
11Linear OA(4953, 62, F49, 47) (dual of [62, 9, 48]-code) [i]✔
12Linear OA(4946, 62, F49, 40) (dual of [62, 16, 41]-code) [i]✔
13Linear OA(4955, 64, F49, 48) (dual of [64, 9, 49]-code) [i]✔
14Linear OA(4947, 64, F49, 40) (dual of [64, 17, 41]-code) [i]✔
15Linear OA(4948, 66, F49, 40) (dual of [66, 18, 41]-code) [i]✔
16Linear OA(4949, 68, F49, 40) (dual of [68, 19, 41]-code) [i]✔
17Linear OA(4950, 70, F49, 40) (dual of [70, 20, 41]-code) [i]✔
18Linear OA(4951, 72, F49, 40) (dual of [72, 21, 41]-code) [i]✔
19Linear OA(4952, 74, F49, 40) (dual of [74, 22, 41]-code) [i]✔
20Linear OA(4953, 76, F49, 40) (dual of [76, 23, 41]-code) [i]✔
21Linear OA(4954, 78, F49, 40) (dual of [78, 24, 41]-code) [i]✔
22Linear OA(4955, 80, F49, 40) (dual of [80, 25, 41]-code) [i]✔