Information on Result #606495

Linear OA(4941, 49, F49, 41) (dual of [49, 8, 42]-code or 49-arc in PG(40,49)), using Reed–Solomon code RS(8,49)

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