Information on Result #606489

Linear OA(4935, 49, F49, 35) (dual of [49, 14, 36]-code or 49-arc in PG(34,49)), using Reed–Solomon code RS(14,49)

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(7110, 120, F7, 71) (dual of [120, 10, 72]-code) [i]Concatenation of Two Codes
2Linear OA(4938, 52, F49, 37) (dual of [52, 14, 38]-code) [i]Construction X with Reed–Solomon Codes
3Linear OA(4936, 52, F49, 35) (dual of [52, 16, 36]-code) [i]
4Linear OA(4940, 54, F49, 38) (dual of [54, 14, 39]-code) [i]
5Linear OA(4937, 54, F49, 35) (dual of [54, 17, 36]-code) [i]
6Linear OA(4942, 56, F49, 39) (dual of [56, 14, 40]-code) [i]
7Linear OA(4938, 56, F49, 35) (dual of [56, 18, 36]-code) [i]
8Linear OA(4944, 58, F49, 40) (dual of [58, 14, 41]-code) [i]
9Linear OA(4939, 58, F49, 35) (dual of [58, 19, 36]-code) [i]
10Linear OA(4946, 60, F49, 41) (dual of [60, 14, 42]-code) [i]
11Linear OA(4940, 60, F49, 35) (dual of [60, 20, 36]-code) [i]
12Linear OA(4948, 62, F49, 42) (dual of [62, 14, 43]-code) [i]
13Linear OA(4941, 62, F49, 35) (dual of [62, 21, 36]-code) [i]
14Linear OA(4950, 64, F49, 43) (dual of [64, 14, 44]-code) [i]
15Linear OA(4942, 64, F49, 35) (dual of [64, 22, 36]-code) [i]
16Linear OA(4952, 66, F49, 44) (dual of [66, 14, 45]-code) [i]
17Linear OA(4943, 66, F49, 35) (dual of [66, 23, 36]-code) [i]
18Linear OA(4954, 68, F49, 45) (dual of [68, 14, 46]-code) [i]
19Linear OA(4944, 68, F49, 35) (dual of [68, 24, 36]-code) [i]
20Linear OA(4945, 70, F49, 35) (dual of [70, 25, 36]-code) [i]
21Linear OA(4946, 72, F49, 35) (dual of [72, 26, 36]-code) [i]
22Linear OA(4947, 74, F49, 35) (dual of [74, 27, 36]-code) [i]
23Linear OA(4948, 76, F49, 35) (dual of [76, 28, 36]-code) [i]
24Linear OA(4949, 78, F49, 35) (dual of [78, 29, 36]-code) [i]
25Linear OA(4950, 80, F49, 35) (dual of [80, 30, 36]-code) [i]
26Linear OA(4951, 82, F49, 35) (dual of [82, 31, 36]-code) [i]