Information on Result #606527

Linear OA(6425, 64, F64, 25) (dual of [64, 39, 26]-code or 64-arc in PG(24,64)), using Reed–Solomon code RS(39,64)

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(2207, 399, F2, 51) (dual of [399, 192, 52]-code) [i]Concatenation of Two Codes
2Linear OA(2206, 392, F2, 51) (dual of [392, 186, 52]-code) [i]
3Linear OA(4136, 244, F4, 51) (dual of [244, 108, 52]-code) [i]
4Linear OA(4135, 240, F4, 51) (dual of [240, 105, 52]-code) [i]
5Linear OA(4134, 236, F4, 51) (dual of [236, 102, 52]-code) [i]
6Linear OA(4133, 232, F4, 51) (dual of [232, 99, 52]-code) [i]
7Linear OA(4132, 228, F4, 51) (dual of [228, 96, 52]-code) [i]
8Linear OA(4131, 224, F4, 51) (dual of [224, 93, 52]-code) [i]
9Linear OA(4130, 220, F4, 51) (dual of [220, 90, 52]-code) [i]
10Linear OA(4129, 216, F4, 51) (dual of [216, 87, 52]-code) [i]
11Linear OA(4128, 212, F4, 51) (dual of [212, 84, 52]-code) [i]
12Linear OA(4127, 208, F4, 51) (dual of [208, 81, 52]-code) [i]
13Linear OA(4126, 204, F4, 51) (dual of [204, 78, 52]-code) [i]
14Linear OA(4125, 200, F4, 51) (dual of [200, 75, 52]-code) [i]
15Linear OA(4124, 196, F4, 51) (dual of [196, 72, 52]-code) [i]
16Linear OA(4123, 192, F4, 51) (dual of [192, 69, 52]-code) [i]
17Linear OA(4122, 188, F4, 51) (dual of [188, 66, 52]-code) [i]
18Linear OA(4121, 184, F4, 51) (dual of [184, 63, 52]-code) [i]
19Linear OA(4120, 180, F4, 51) (dual of [180, 60, 52]-code) [i]
20Linear OA(4119, 176, F4, 51) (dual of [176, 57, 52]-code) [i]
21Linear OA(4118, 172, F4, 51) (dual of [172, 54, 52]-code) [i]
22Linear OA(4117, 168, F4, 51) (dual of [168, 51, 52]-code) [i]
23Linear OA(4116, 164, F4, 51) (dual of [164, 48, 52]-code) [i]
24Linear OA(4115, 160, F4, 51) (dual of [160, 45, 52]-code) [i]
25Linear OA(4185, 275, F4, 77) (dual of [275, 90, 78]-code) [i]
26Linear OA(4183, 270, F4, 77) (dual of [270, 87, 78]-code) [i]
27Linear OA(4181, 265, F4, 77) (dual of [265, 84, 78]-code) [i]
28Linear OA(4165, 225, F4, 77) (dual of [225, 60, 78]-code) [i]
29Linear OA(4163, 220, F4, 77) (dual of [220, 57, 78]-code) [i]
30Linear OA(4161, 215, F4, 77) (dual of [215, 54, 78]-code) [i]
31Linear OA(4159, 210, F4, 77) (dual of [210, 51, 78]-code) [i]
32Linear OA(4157, 205, F4, 77) (dual of [205, 48, 78]-code) [i]
33Linear OA(4155, 200, F4, 77) (dual of [200, 45, 78]-code) [i]
34Linear OA(4151, 190, F4, 77) (dual of [190, 39, 78]-code) [i]
35Linear OA(4149, 185, F4, 77) (dual of [185, 36, 78]-code) [i]
36Linear OA(4147, 180, F4, 77) (dual of [180, 33, 78]-code) [i]
37Linear OA(4145, 175, F4, 77) (dual of [175, 30, 78]-code) [i]
38Linear OA(4143, 170, F4, 77) (dual of [170, 27, 78]-code) [i]
39Linear OA(4201, 252, F4, 103) (dual of [252, 51, 104]-code) [i]
40Linear OA(4198, 246, F4, 103) (dual of [246, 48, 104]-code) [i]
41Linear OA(4195, 240, F4, 103) (dual of [240, 45, 104]-code) [i]
42Linear OA(4192, 234, F4, 103) (dual of [234, 42, 104]-code) [i]
43Linear OA(4189, 228, F4, 103) (dual of [228, 39, 104]-code) [i]
44Linear OA(4186, 222, F4, 103) (dual of [222, 36, 104]-code) [i]
45Linear OA(4183, 216, F4, 103) (dual of [216, 33, 104]-code) [i]
46Linear OA(4180, 210, F4, 103) (dual of [210, 30, 104]-code) [i]
47Linear OA(4177, 204, F4, 103) (dual of [204, 27, 104]-code) [i]
48Linear OA(4174, 198, F4, 103) (dual of [198, 24, 104]-code) [i]
49Linear OA(4171, 192, F4, 103) (dual of [192, 21, 104]-code) [i]
50Linear OA(8104, 162, F8, 51) (dual of [162, 58, 52]-code) [i]
51Linear OA(8103, 159, F8, 51) (dual of [159, 56, 52]-code) [i]
52Linear OA(8102, 156, F8, 51) (dual of [156, 54, 52]-code) [i]
53Linear OA(8101, 153, F8, 51) (dual of [153, 52, 52]-code) [i]
54Linear OA(8100, 150, F8, 51) (dual of [150, 50, 52]-code) [i]
55Linear OA(899, 147, F8, 51) (dual of [147, 48, 52]-code) [i]
56Linear OA(898, 144, F8, 51) (dual of [144, 46, 52]-code) [i]
57Linear OA(897, 141, F8, 51) (dual of [141, 44, 52]-code) [i]
58Linear OA(896, 138, F8, 51) (dual of [138, 42, 52]-code) [i]
59Linear OA(895, 135, F8, 51) (dual of [135, 40, 52]-code) [i]
60Linear OA(894, 132, F8, 51) (dual of [132, 38, 52]-code) [i]
61Linear OA(893, 129, F8, 51) (dual of [129, 36, 52]-code) [i]
62Linear OA(892, 126, F8, 51) (dual of [126, 34, 52]-code) [i]
63Linear OA(891, 123, F8, 51) (dual of [123, 32, 52]-code) [i]
64Linear OA(890, 120, F8, 51) (dual of [120, 30, 52]-code) [i]
65Linear OA(889, 117, F8, 51) (dual of [117, 28, 52]-code) [i]
66Linear OA(888, 114, F8, 51) (dual of [114, 26, 52]-code) [i]
67Linear OA(887, 111, F8, 51) (dual of [111, 24, 52]-code) [i]
68Linear OA(886, 108, F8, 51) (dual of [108, 22, 52]-code) [i]
69Linear OA(885, 105, F8, 51) (dual of [105, 20, 52]-code) [i]
70Linear OA(884, 102, F8, 51) (dual of [102, 18, 52]-code) [i]
71Linear OA(883, 99, F8, 51) (dual of [99, 16, 52]-code) [i]
72Linear OA(882, 96, F8, 51) (dual of [96, 14, 52]-code) [i]
73Linear OA(881, 93, F8, 51) (dual of [93, 12, 52]-code) [i]
74Linear OA(8126, 152, F8, 77) (dual of [152, 26, 78]-code) [i]
75Linear OA(8124, 148, F8, 77) (dual of [148, 24, 78]-code) [i]
76Linear OA(8122, 144, F8, 77) (dual of [144, 22, 78]-code) [i]
77Linear OA(8120, 140, F8, 77) (dual of [140, 20, 78]-code) [i]
78Linear OA(8118, 136, F8, 77) (dual of [136, 18, 78]-code) [i]
79Linear OA(8116, 132, F8, 77) (dual of [132, 16, 78]-code) [i]
80Linear OA(8114, 128, F8, 77) (dual of [128, 14, 78]-code) [i]
81Linear OA(8112, 124, F8, 77) (dual of [124, 12, 78]-code) [i]
82Linear OA(8152, 170, F8, 103) (dual of [170, 18, 104]-code) [i]
83Linear OA(8149, 165, F8, 103) (dual of [165, 16, 104]-code) [i]
84Linear OA(8146, 160, F8, 103) (dual of [160, 14, 104]-code) [i]
85Linear OA(8143, 155, F8, 103) (dual of [155, 12, 104]-code) [i]
86Linear OA(8140, 150, F8, 103) (dual of [150, 10, 104]-code) [i]
87Linear OA(8137, 145, F8, 103) (dual of [145, 8, 104]-code) [i]
88Linear OA(8170, 180, F8, 129) (dual of [180, 10, 130]-code) [i]
89Linear OA(8166, 174, F8, 129) (dual of [174, 8, 130]-code) [i]
90Linear OA(8162, 168, F8, 129) (dual of [168, 6, 130]-code) [i]
91Linear OOA(4260, 148, F4, 2, 155) (dual of [(148, 2), 36, 156]-NRT-code) [i]Concatenation of Two NRT-Codes
92Linear OOA(4255, 144, F4, 2, 155) (dual of [(144, 2), 33, 156]-NRT-code) [i]
93Linear OOA(4250, 140, F4, 2, 155) (dual of [(140, 2), 30, 156]-NRT-code) [i]
94Linear OOA(4245, 136, F4, 2, 155) (dual of [(136, 2), 27, 156]-NRT-code) [i]
95Linear OOA(4240, 132, F4, 2, 155) (dual of [(132, 2), 24, 156]-NRT-code) [i]
96Linear OOA(4235, 128, F4, 2, 155) (dual of [(128, 2), 21, 156]-NRT-code) [i]
97Linear OOA(4230, 124, F4, 2, 155) (dual of [(124, 2), 18, 156]-NRT-code) [i]
98Linear OOA(4220, 116, F4, 2, 155) (dual of [(116, 2), 12, 156]-NRT-code) [i]