Information on Result #606492

Linear OA(4938, 49, F49, 38) (dual of [49, 11, 39]-code or 49-arc in PG(37,49)), using Reed–Solomon code RS(11,49)

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(4941, 52, F49, 40) (dual of [52, 11, 41]-code) [i]✔Construction X with Reed–Solomon Codes
2Linear OA(4939, 52, F49, 38) (dual of [52, 13, 39]-code) [i]✔
3Linear OA(4943, 54, F49, 41) (dual of [54, 11, 42]-code) [i]✔
4Linear OA(4940, 54, F49, 38) (dual of [54, 14, 39]-code) [i]✔
5Linear OA(4945, 56, F49, 42) (dual of [56, 11, 43]-code) [i]✔
6Linear OA(4941, 56, F49, 38) (dual of [56, 15, 39]-code) [i]✔
7Linear OA(4947, 58, F49, 43) (dual of [58, 11, 44]-code) [i]✔
8Linear OA(4942, 58, F49, 38) (dual of [58, 16, 39]-code) [i]✔
9Linear OA(4949, 60, F49, 44) (dual of [60, 11, 45]-code) [i]✔
10Linear OA(4943, 60, F49, 38) (dual of [60, 17, 39]-code) [i]✔
11Linear OA(4951, 62, F49, 45) (dual of [62, 11, 46]-code) [i]✔
12Linear OA(4944, 62, F49, 38) (dual of [62, 18, 39]-code) [i]✔
13Linear OA(4953, 64, F49, 46) (dual of [64, 11, 47]-code) [i]✔
14Linear OA(4945, 64, F49, 38) (dual of [64, 19, 39]-code) [i]✔
15Linear OA(4955, 66, F49, 47) (dual of [66, 11, 48]-code) [i]✔
16Linear OA(4946, 66, F49, 38) (dual of [66, 20, 39]-code) [i]✔
17Linear OA(4947, 68, F49, 38) (dual of [68, 21, 39]-code) [i]✔
18Linear OA(4948, 70, F49, 38) (dual of [70, 22, 39]-code) [i]✔
19Linear OA(4949, 72, F49, 38) (dual of [72, 23, 39]-code) [i]✔
20Linear OA(4950, 74, F49, 38) (dual of [74, 24, 39]-code) [i]✔
21Linear OA(4951, 76, F49, 38) (dual of [76, 25, 39]-code) [i]✔
22Linear OA(4952, 78, F49, 38) (dual of [78, 26, 39]-code) [i]✔
23Linear OA(4953, 80, F49, 38) (dual of [80, 27, 39]-code) [i]✔
24Linear OA(4954, 82, F49, 38) (dual of [82, 28, 39]-code) [i]✔