Information on Result #606471

Linear OA(4917, 49, F49, 17) (dual of [49, 32, 18]-code or 49-arc in PG(16,49)), using Reed–Solomon code RS(32,49)

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(777, 129, F7, 35) (dual of [129, 52, 36]-code) [i]Concatenation of Two Codes
2Linear OA(776, 126, F7, 35) (dual of [126, 50, 36]-code) [i]
3Linear OA(775, 123, F7, 35) (dual of [123, 48, 36]-code) [i]
4Linear OA(774, 120, F7, 35) (dual of [120, 46, 36]-code) [i]
5Linear OA(773, 117, F7, 35) (dual of [117, 44, 36]-code) [i]
6Linear OA(772, 114, F7, 35) (dual of [114, 42, 36]-code) [i]
7Linear OA(770, 108, F7, 35) (dual of [108, 38, 36]-code) [i]
8Linear OA(769, 105, F7, 35) (dual of [105, 36, 36]-code) [i]
9Linear OA(768, 102, F7, 35) (dual of [102, 34, 36]-code) [i]
10Linear OA(767, 99, F7, 35) (dual of [99, 32, 36]-code) [i]
11Linear OA(766, 96, F7, 35) (dual of [96, 30, 36]-code) [i]
12Linear OA(765, 93, F7, 35) (dual of [93, 28, 36]-code) [i]
13Linear OA(764, 90, F7, 35) (dual of [90, 26, 36]-code) [i]
14Linear OA(763, 87, F7, 35) (dual of [87, 24, 36]-code) [i]
15Linear OA(762, 84, F7, 35) (dual of [84, 22, 36]-code) [i]
16Linear OA(761, 81, F7, 35) (dual of [81, 20, 36]-code) [i]
17Linear OA(760, 78, F7, 35) (dual of [78, 18, 36]-code) [i]
18Linear OA(759, 75, F7, 35) (dual of [75, 16, 36]-code) [i]
19Linear OA(758, 72, F7, 35) (dual of [72, 14, 36]-code) [i]
20Linear OA(757, 69, F7, 35) (dual of [69, 12, 36]-code) [i]
21Linear OA(756, 66, F7, 35) (dual of [66, 10, 36]-code) [i]
22Linear OA(786, 104, F7, 53) (dual of [104, 18, 54]-code) [i]
23Linear OA(784, 100, F7, 53) (dual of [100, 16, 54]-code) [i]
24Linear OA(782, 96, F7, 53) (dual of [96, 14, 54]-code) [i]
25Linear OA(780, 92, F7, 53) (dual of [92, 12, 54]-code) [i]
26Linear OA(778, 88, F7, 53) (dual of [88, 10, 54]-code) [i]
27Linear OA(7103, 115, F7, 71) (dual of [115, 12, 72]-code) [i]
28Linear OA(7100, 110, F7, 71) (dual of [110, 10, 72]-code) [i]
29Linear OA(797, 105, F7, 71) (dual of [105, 8, 72]-code) [i]
30Linear OA(794, 100, F7, 71) (dual of [100, 6, 72]-code) [i]
31Linear OA(4920, 52, F49, 19) (dual of [52, 32, 20]-code) [i]✔Construction X with Reed–Solomon Codes
32Linear OA(4918, 52, F49, 17) (dual of [52, 34, 18]-code) [i]✔
33Linear OA(4922, 54, F49, 20) (dual of [54, 32, 21]-code) [i]✔
34Linear OA(4919, 54, F49, 17) (dual of [54, 35, 18]-code) [i]✔
35Linear OA(4924, 56, F49, 21) (dual of [56, 32, 22]-code) [i]✔
36Linear OA(4920, 56, F49, 17) (dual of [56, 36, 18]-code) [i]✔
37Linear OA(4926, 58, F49, 22) (dual of [58, 32, 23]-code) [i]✔
38Linear OA(4921, 58, F49, 17) (dual of [58, 37, 18]-code) [i]✔
39Linear OA(4928, 60, F49, 23) (dual of [60, 32, 24]-code) [i]✔
40Linear OA(4922, 60, F49, 17) (dual of [60, 38, 18]-code) [i]✔
41Linear OA(4930, 62, F49, 24) (dual of [62, 32, 25]-code) [i]✔
42Linear OA(4923, 62, F49, 17) (dual of [62, 39, 18]-code) [i]✔
43Linear OA(4932, 64, F49, 25) (dual of [64, 32, 26]-code) [i]✔
44Linear OA(4924, 64, F49, 17) (dual of [64, 40, 18]-code) [i]✔
45Linear OA(4934, 66, F49, 26) (dual of [66, 32, 27]-code) [i]✔
46Linear OA(4936, 68, F49, 27) (dual of [68, 32, 28]-code) [i]✔
47Linear OA(4938, 70, F49, 28) (dual of [70, 32, 29]-code) [i]✔
48Linear OA(4940, 72, F49, 29) (dual of [72, 32, 30]-code) [i]✔
49Linear OA(4942, 74, F49, 30) (dual of [74, 32, 31]-code) [i]✔
50Linear OA(4944, 76, F49, 31) (dual of [76, 32, 32]-code) [i]✔
51Linear OA(4946, 78, F49, 32) (dual of [78, 32, 33]-code) [i]✔
52Linear OA(4948, 80, F49, 33) (dual of [80, 32, 34]-code) [i]✔
53Linear OA(4950, 82, F49, 34) (dual of [82, 32, 35]-code) [i]✔