Information on Result #606524

Linear OA(6422, 64, F64, 22) (dual of [64, 42, 23]-code or 64-arc in PG(21,64)), using Reed–Solomon code RS(42,64)

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(2189, 399, F2, 45) (dual of [399, 210, 46]-code) [i]Concatenation of Two Codes
2Linear OA(2188, 392, F2, 45) (dual of [392, 204, 46]-code) [i]
3Linear OA(2187, 385, F2, 45) (dual of [385, 198, 46]-code) [i]
4Linear OA(2186, 378, F2, 45) (dual of [378, 192, 46]-code) [i]
5Linear OA(2185, 371, F2, 45) (dual of [371, 186, 46]-code) [i]
6Linear OA(2184, 364, F2, 45) (dual of [364, 180, 46]-code) [i]
7Linear OA(2183, 357, F2, 45) (dual of [357, 174, 46]-code) [i]
8Linear OA(2182, 350, F2, 45) (dual of [350, 168, 46]-code) [i]
9Linear OA(2181, 343, F2, 45) (dual of [343, 162, 46]-code) [i]
10Linear OA(2180, 336, F2, 45) (dual of [336, 156, 46]-code) [i]
11Linear OA(2179, 329, F2, 45) (dual of [329, 150, 46]-code) [i]
12Linear OA(4124, 232, F4, 45) (dual of [232, 108, 46]-code) [i]
13Linear OA(4123, 228, F4, 45) (dual of [228, 105, 46]-code) [i]
14Linear OA(4122, 224, F4, 45) (dual of [224, 102, 46]-code) [i]
15Linear OA(4121, 220, F4, 45) (dual of [220, 99, 46]-code) [i]
16Linear OA(4120, 216, F4, 45) (dual of [216, 96, 46]-code) [i]
17Linear OA(4119, 212, F4, 45) (dual of [212, 93, 46]-code) [i]
18Linear OA(4118, 208, F4, 45) (dual of [208, 90, 46]-code) [i]
19Linear OA(4117, 204, F4, 45) (dual of [204, 87, 46]-code) [i]
20Linear OA(4116, 200, F4, 45) (dual of [200, 84, 46]-code) [i]
21Linear OA(4115, 196, F4, 45) (dual of [196, 81, 46]-code) [i]
22Linear OA(4114, 192, F4, 45) (dual of [192, 78, 46]-code) [i]
23Linear OA(4113, 188, F4, 45) (dual of [188, 75, 46]-code) [i]
24Linear OA(4112, 184, F4, 45) (dual of [184, 72, 46]-code) [i]
25Linear OA(4111, 180, F4, 45) (dual of [180, 69, 46]-code) [i]
26Linear OA(4110, 176, F4, 45) (dual of [176, 66, 46]-code) [i]
27Linear OA(4109, 172, F4, 45) (dual of [172, 63, 46]-code) [i]
28Linear OA(4108, 168, F4, 45) (dual of [168, 60, 46]-code) [i]
29Linear OA(4107, 164, F4, 45) (dual of [164, 57, 46]-code) [i]
30Linear OA(4106, 160, F4, 45) (dual of [160, 54, 46]-code) [i]
31Linear OA(4105, 156, F4, 45) (dual of [156, 51, 46]-code) [i]
32Linear OA(4104, 152, F4, 45) (dual of [152, 48, 46]-code) [i]
33Linear OA(4103, 148, F4, 45) (dual of [148, 45, 46]-code) [i]
34Linear OA(4156, 225, F4, 68) (dual of [225, 69, 69]-code) [i]
35Linear OA(4154, 220, F4, 68) (dual of [220, 66, 69]-code) [i]
36Linear OA(4152, 215, F4, 68) (dual of [215, 63, 69]-code) [i]
37Linear OA(4150, 210, F4, 68) (dual of [210, 60, 69]-code) [i]
38Linear OA(4148, 205, F4, 68) (dual of [205, 57, 69]-code) [i]
39Linear OA(4146, 200, F4, 68) (dual of [200, 54, 69]-code) [i]
40Linear OA(4144, 195, F4, 68) (dual of [195, 51, 69]-code) [i]
41Linear OA(4142, 190, F4, 68) (dual of [190, 48, 69]-code) [i]
42Linear OA(4140, 185, F4, 68) (dual of [185, 45, 69]-code) [i]
43Linear OA(4138, 180, F4, 68) (dual of [180, 42, 69]-code) [i]
44Linear OA(4136, 175, F4, 68) (dual of [175, 39, 69]-code) [i]
45Linear OA(4134, 170, F4, 68) (dual of [170, 36, 69]-code) [i]
46Linear OA(4132, 165, F4, 68) (dual of [165, 33, 69]-code) [i]
47Linear OA(4130, 160, F4, 68) (dual of [160, 30, 69]-code) [i]
48Linear OA(4128, 155, F4, 68) (dual of [155, 27, 69]-code) [i]
49Linear OA(4180, 228, F4, 91) (dual of [228, 48, 92]-code) [i]
50Linear OA(4177, 222, F4, 91) (dual of [222, 45, 92]-code) [i]
51Linear OA(4174, 216, F4, 91) (dual of [216, 42, 92]-code) [i]
52Linear OA(4171, 210, F4, 91) (dual of [210, 39, 92]-code) [i]
53Linear OA(4168, 204, F4, 91) (dual of [204, 36, 92]-code) [i]
54Linear OA(4165, 198, F4, 91) (dual of [198, 33, 92]-code) [i]
55Linear OA(4162, 192, F4, 91) (dual of [192, 30, 92]-code) [i]
56Linear OA(4159, 186, F4, 91) (dual of [186, 27, 92]-code) [i]
57Linear OA(4156, 180, F4, 91) (dual of [180, 24, 92]-code) [i]
58Linear OA(4153, 174, F4, 91) (dual of [174, 21, 92]-code) [i]
59Linear OA(891, 141, F8, 45) (dual of [141, 50, 46]-code) [i]
60Linear OA(890, 138, F8, 45) (dual of [138, 48, 46]-code) [i]
61Linear OA(889, 135, F8, 45) (dual of [135, 46, 46]-code) [i]
62Linear OA(888, 132, F8, 45) (dual of [132, 44, 46]-code) [i]
63Linear OA(887, 129, F8, 45) (dual of [129, 42, 46]-code) [i]
64Linear OA(886, 126, F8, 45) (dual of [126, 40, 46]-code) [i]
65Linear OA(885, 123, F8, 45) (dual of [123, 38, 46]-code) [i]
66Linear OA(884, 120, F8, 45) (dual of [120, 36, 46]-code) [i]
67Linear OA(883, 117, F8, 45) (dual of [117, 34, 46]-code) [i]
68Linear OA(882, 114, F8, 45) (dual of [114, 32, 46]-code) [i]
69Linear OA(881, 111, F8, 45) (dual of [111, 30, 46]-code) [i]
70Linear OA(880, 108, F8, 45) (dual of [108, 28, 46]-code) [i]
71Linear OA(879, 105, F8, 45) (dual of [105, 26, 46]-code) [i]
72Linear OA(878, 102, F8, 45) (dual of [102, 24, 46]-code) [i]
73Linear OA(877, 99, F8, 45) (dual of [99, 22, 46]-code) [i]
74Linear OA(876, 96, F8, 45) (dual of [96, 20, 46]-code) [i]
75Linear OA(875, 93, F8, 45) (dual of [93, 18, 46]-code) [i]
76Linear OA(874, 90, F8, 45) (dual of [90, 16, 46]-code) [i]
77Linear OA(873, 87, F8, 45) (dual of [87, 14, 46]-code) [i]
78Linear OA(8112, 136, F8, 68) (dual of [136, 24, 69]-code) [i]
79Linear OA(8110, 132, F8, 68) (dual of [132, 22, 69]-code) [i]
80Linear OA(8108, 128, F8, 68) (dual of [128, 20, 69]-code) [i]
81Linear OA(8106, 124, F8, 68) (dual of [124, 18, 69]-code) [i]
82Linear OA(8104, 120, F8, 68) (dual of [120, 16, 69]-code) [i]
83Linear OA(8102, 116, F8, 68) (dual of [116, 14, 69]-code) [i]
84Linear OA(8100, 112, F8, 68) (dual of [112, 12, 69]-code) [i]
85Linear OA(898, 108, F8, 68) (dual of [108, 10, 69]-code) [i]
86Linear OA(8134, 150, F8, 91) (dual of [150, 16, 92]-code) [i]
87Linear OA(8131, 145, F8, 91) (dual of [145, 14, 92]-code) [i]
88Linear OA(8128, 140, F8, 91) (dual of [140, 12, 92]-code) [i]
89Linear OA(8125, 135, F8, 91) (dual of [135, 10, 92]-code) [i]
90Linear OA(8156, 168, F8, 114) (dual of [168, 12, 115]-code) [i]
91Linear OA(8152, 162, F8, 114) (dual of [162, 10, 115]-code) [i]
92Linear OA(8148, 156, F8, 114) (dual of [156, 8, 115]-code) [i]
93Linear OA(8144, 150, F8, 114) (dual of [150, 6, 115]-code) [i]
94Linear OA(8169, 175, F8, 137) (dual of [175, 6, 138]-code) [i]
95Linear OOA(4236, 136, F4, 2, 137) (dual of [(136, 2), 36, 138]-NRT-code) [i]Concatenation of Two NRT-Codes
96Linear OOA(4231, 132, F4, 2, 137) (dual of [(132, 2), 33, 138]-NRT-code) [i]
97Linear OOA(4226, 128, F4, 2, 137) (dual of [(128, 2), 30, 138]-NRT-code) [i]
98Linear OOA(4221, 124, F4, 2, 137) (dual of [(124, 2), 27, 138]-NRT-code) [i]
99Linear OOA(4216, 120, F4, 2, 137) (dual of [(120, 2), 24, 138]-NRT-code) [i]
100Linear OOA(4211, 116, F4, 2, 137) (dual of [(116, 2), 21, 138]-NRT-code) [i]
101Linear OOA(4206, 112, F4, 2, 137) (dual of [(112, 2), 18, 138]-NRT-code) [i]
102Linear OOA(4201, 108, F4, 2, 137) (dual of [(108, 2), 15, 138]-NRT-code) [i]
103Linear OOA(4196, 104, F4, 2, 137) (dual of [(104, 2), 12, 138]-NRT-code) [i]
104Linear OOA(4191, 100, F4, 2, 137) (dual of [(100, 2), 9, 138]-NRT-code) [i]
105Linear OOA(4255, 135, F4, 2, 183) (dual of [(135, 2), 15, 184]-NRT-code) [i]
106Linear OOA(4248, 130, F4, 2, 183) (dual of [(130, 2), 12, 184]-NRT-code) [i]
107Linear OOA(4241, 125, F4, 2, 183) (dual of [(125, 2), 9, 184]-NRT-code) [i]
108Linear OOA(2258, 126, F2, 3, 91) (dual of [(126, 3), 120, 92]-NRT-code) [i]
109Linear OOA(2255, 123, F2, 3, 91) (dual of [(123, 3), 114, 92]-NRT-code) [i]
110Linear OOA(2252, 120, F2, 3, 91) (dual of [(120, 3), 108, 92]-NRT-code) [i]
111Linear OOA(2249, 117, F2, 3, 91) (dual of [(117, 3), 102, 92]-NRT-code) [i]
112Linear OOA(2246, 114, F2, 3, 91) (dual of [(114, 3), 96, 92]-NRT-code) [i]