Information on Result #606493

Linear OA(4939, 49, F49, 39) (dual of [49, 10, 40]-code or 49-arc in PG(38,49)), using Reed–Solomon code RS(10,49)

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(4942, 52, F49, 41) (dual of [52, 10, 42]-code) [i]✔Construction X with Reed–Solomon Codes
2Linear OA(4940, 52, F49, 39) (dual of [52, 12, 40]-code) [i]✔
3Linear OA(4944, 54, F49, 42) (dual of [54, 10, 43]-code) [i]✔
4Linear OA(4941, 54, F49, 39) (dual of [54, 13, 40]-code) [i]✔
5Linear OA(4946, 56, F49, 43) (dual of [56, 10, 44]-code) [i]✔
6Linear OA(4942, 56, F49, 39) (dual of [56, 14, 40]-code) [i]✔
7Linear OA(4948, 58, F49, 44) (dual of [58, 10, 45]-code) [i]✔
8Linear OA(4943, 58, F49, 39) (dual of [58, 15, 40]-code) [i]✔
9Linear OA(4950, 60, F49, 45) (dual of [60, 10, 46]-code) [i]✔
10Linear OA(4944, 60, F49, 39) (dual of [60, 16, 40]-code) [i]✔
11Linear OA(4952, 62, F49, 46) (dual of [62, 10, 47]-code) [i]✔
12Linear OA(4945, 62, F49, 39) (dual of [62, 17, 40]-code) [i]✔
13Linear OA(4954, 64, F49, 47) (dual of [64, 10, 48]-code) [i]✔
14Linear OA(4946, 64, F49, 39) (dual of [64, 18, 40]-code) [i]✔
15Linear OA(4947, 66, F49, 39) (dual of [66, 19, 40]-code) [i]✔
16Linear OA(4948, 68, F49, 39) (dual of [68, 20, 40]-code) [i]✔
17Linear OA(4949, 70, F49, 39) (dual of [70, 21, 40]-code) [i]✔
18Linear OA(4950, 72, F49, 39) (dual of [72, 22, 40]-code) [i]✔
19Linear OA(4951, 74, F49, 39) (dual of [74, 23, 40]-code) [i]✔
20Linear OA(4952, 76, F49, 39) (dual of [76, 24, 40]-code) [i]✔
21Linear OA(4953, 78, F49, 39) (dual of [78, 25, 40]-code) [i]✔
22Linear OA(4954, 80, F49, 39) (dual of [80, 26, 40]-code) [i]✔
23Linear OA(4955, 82, F49, 39) (dual of [82, 27, 40]-code) [i]✔