Information on Result #606525

Linear OA(6423, 64, F64, 23) (dual of [64, 41, 24]-code or 64-arc in PG(22,64)), using Reed–Solomon code RS(41,64)

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(2198, 420, F2, 47) (dual of [420, 222, 48]-code) [i]Concatenation of Two Codes
2Linear OA(2197, 413, F2, 47) (dual of [413, 216, 48]-code) [i]
3Linear OA(2196, 406, F2, 47) (dual of [406, 210, 48]-code) [i]
4Linear OA(2195, 399, F2, 47) (dual of [399, 204, 48]-code) [i]
5Linear OA(2194, 392, F2, 47) (dual of [392, 198, 48]-code) [i]
6Linear OA(2193, 385, F2, 47) (dual of [385, 192, 48]-code) [i]
7Linear OA(2192, 378, F2, 47) (dual of [378, 186, 48]-code) [i]
8Linear OA(2191, 371, F2, 47) (dual of [371, 180, 48]-code) [i]
9Linear OA(2190, 364, F2, 47) (dual of [364, 174, 48]-code) [i]
10Linear OA(2189, 357, F2, 47) (dual of [357, 168, 48]-code) [i]
11Linear OA(2188, 350, F2, 47) (dual of [350, 162, 48]-code) [i]
12Linear OA(2187, 343, F2, 47) (dual of [343, 156, 48]-code) [i]
13Linear OA(4131, 248, F4, 47) (dual of [248, 117, 48]-code) [i]
14Linear OA(4130, 244, F4, 47) (dual of [244, 114, 48]-code) [i]
15Linear OA(4129, 240, F4, 47) (dual of [240, 111, 48]-code) [i]
16Linear OA(4128, 236, F4, 47) (dual of [236, 108, 48]-code) [i]
17Linear OA(4127, 232, F4, 47) (dual of [232, 105, 48]-code) [i]
18Linear OA(4126, 228, F4, 47) (dual of [228, 102, 48]-code) [i]
19Linear OA(4125, 224, F4, 47) (dual of [224, 99, 48]-code) [i]
20Linear OA(4124, 220, F4, 47) (dual of [220, 96, 48]-code) [i]
21Linear OA(4123, 216, F4, 47) (dual of [216, 93, 48]-code) [i]
22Linear OA(4122, 212, F4, 47) (dual of [212, 90, 48]-code) [i]
23Linear OA(4121, 208, F4, 47) (dual of [208, 87, 48]-code) [i]
24Linear OA(4120, 204, F4, 47) (dual of [204, 84, 48]-code) [i]
25Linear OA(4119, 200, F4, 47) (dual of [200, 81, 48]-code) [i]
26Linear OA(4118, 196, F4, 47) (dual of [196, 78, 48]-code) [i]
27Linear OA(4117, 192, F4, 47) (dual of [192, 75, 48]-code) [i]
28Linear OA(4116, 188, F4, 47) (dual of [188, 72, 48]-code) [i]
29Linear OA(4115, 184, F4, 47) (dual of [184, 69, 48]-code) [i]
30Linear OA(4114, 180, F4, 47) (dual of [180, 66, 48]-code) [i]
31Linear OA(4113, 176, F4, 47) (dual of [176, 63, 48]-code) [i]
32Linear OA(4112, 172, F4, 47) (dual of [172, 60, 48]-code) [i]
33Linear OA(4111, 168, F4, 47) (dual of [168, 57, 48]-code) [i]
34Linear OA(4110, 164, F4, 47) (dual of [164, 54, 48]-code) [i]
35Linear OA(4109, 160, F4, 47) (dual of [160, 51, 48]-code) [i]
36Linear OA(4108, 156, F4, 47) (dual of [156, 48, 48]-code) [i]
37Linear OA(4107, 152, F4, 47) (dual of [152, 45, 48]-code) [i]
38Linear OA(4159, 225, F4, 71) (dual of [225, 66, 72]-code) [i]
39Linear OA(4157, 220, F4, 71) (dual of [220, 63, 72]-code) [i]
40Linear OA(4155, 215, F4, 71) (dual of [215, 60, 72]-code) [i]
41Linear OA(4153, 210, F4, 71) (dual of [210, 57, 72]-code) [i]
42Linear OA(4151, 205, F4, 71) (dual of [205, 54, 72]-code) [i]
43Linear OA(4149, 200, F4, 71) (dual of [200, 51, 72]-code) [i]
44Linear OA(4145, 190, F4, 71) (dual of [190, 45, 72]-code) [i]
45Linear OA(4143, 185, F4, 71) (dual of [185, 42, 72]-code) [i]
46Linear OA(4141, 180, F4, 71) (dual of [180, 39, 72]-code) [i]
47Linear OA(4139, 175, F4, 71) (dual of [175, 36, 72]-code) [i]
48Linear OA(4137, 170, F4, 71) (dual of [170, 33, 72]-code) [i]
49Linear OA(4135, 165, F4, 71) (dual of [165, 30, 72]-code) [i]
50Linear OA(4133, 160, F4, 71) (dual of [160, 27, 72]-code) [i]
51Linear OA(4186, 234, F4, 95) (dual of [234, 48, 96]-code) [i]
52Linear OA(4183, 228, F4, 95) (dual of [228, 45, 96]-code) [i]
53Linear OA(4180, 222, F4, 95) (dual of [222, 42, 96]-code) [i]
54Linear OA(4177, 216, F4, 95) (dual of [216, 39, 96]-code) [i]
55Linear OA(4174, 210, F4, 95) (dual of [210, 36, 96]-code) [i]
56Linear OA(4171, 204, F4, 95) (dual of [204, 33, 96]-code) [i]
57Linear OA(4168, 198, F4, 95) (dual of [198, 30, 96]-code) [i]
58Linear OA(4165, 192, F4, 95) (dual of [192, 27, 96]-code) [i]
59Linear OA(4162, 186, F4, 95) (dual of [186, 24, 96]-code) [i]
60Linear OA(4159, 180, F4, 95) (dual of [180, 21, 96]-code) [i]
61Linear OA(4156, 174, F4, 95) (dual of [174, 18, 96]-code) [i]
62Linear OA(895, 147, F8, 47) (dual of [147, 52, 48]-code) [i]
63Linear OA(894, 144, F8, 47) (dual of [144, 50, 48]-code) [i]
64Linear OA(893, 141, F8, 47) (dual of [141, 48, 48]-code) [i]
65Linear OA(892, 138, F8, 47) (dual of [138, 46, 48]-code) [i]
66Linear OA(891, 135, F8, 47) (dual of [135, 44, 48]-code) [i]
67Linear OA(890, 132, F8, 47) (dual of [132, 42, 48]-code) [i]
68Linear OA(889, 129, F8, 47) (dual of [129, 40, 48]-code) [i]
69Linear OA(888, 126, F8, 47) (dual of [126, 38, 48]-code) [i]
70Linear OA(887, 123, F8, 47) (dual of [123, 36, 48]-code) [i]
71Linear OA(886, 120, F8, 47) (dual of [120, 34, 48]-code) [i]
72Linear OA(885, 117, F8, 47) (dual of [117, 32, 48]-code) [i]
73Linear OA(884, 114, F8, 47) (dual of [114, 30, 48]-code) [i]
74Linear OA(883, 111, F8, 47) (dual of [111, 28, 48]-code) [i]
75Linear OA(882, 108, F8, 47) (dual of [108, 26, 48]-code) [i]
76Linear OA(881, 105, F8, 47) (dual of [105, 24, 48]-code) [i]
77Linear OA(880, 102, F8, 47) (dual of [102, 22, 48]-code) [i]
78Linear OA(879, 99, F8, 47) (dual of [99, 20, 48]-code) [i]
79Linear OA(878, 96, F8, 47) (dual of [96, 18, 48]-code) [i]
80Linear OA(877, 93, F8, 47) (dual of [93, 16, 48]-code) [i]
81Linear OA(876, 90, F8, 47) (dual of [90, 14, 48]-code) [i]
82Linear OA(875, 87, F8, 47) (dual of [87, 12, 48]-code) [i]
83Linear OA(8116, 140, F8, 71) (dual of [140, 24, 72]-code) [i]
84Linear OA(8114, 136, F8, 71) (dual of [136, 22, 72]-code) [i]
85Linear OA(8112, 132, F8, 71) (dual of [132, 20, 72]-code) [i]
86Linear OA(8110, 128, F8, 71) (dual of [128, 18, 72]-code) [i]
87Linear OA(8108, 124, F8, 71) (dual of [124, 16, 72]-code) [i]
88Linear OA(8106, 120, F8, 71) (dual of [120, 14, 72]-code) [i]
89Linear OA(8104, 116, F8, 71) (dual of [116, 12, 72]-code) [i]
90Linear OA(8102, 112, F8, 71) (dual of [112, 10, 72]-code) [i]
91Linear OA(8139, 155, F8, 95) (dual of [155, 16, 96]-code) [i]
92Linear OA(8136, 150, F8, 95) (dual of [150, 14, 96]-code) [i]
93Linear OA(8133, 145, F8, 95) (dual of [145, 12, 96]-code) [i]
94Linear OA(8130, 140, F8, 95) (dual of [140, 10, 96]-code) [i]
95Linear OA(8127, 135, F8, 95) (dual of [135, 8, 96]-code) [i]
96Linear OA(8162, 174, F8, 119) (dual of [174, 12, 120]-code) [i]
97Linear OA(8158, 168, F8, 119) (dual of [168, 10, 120]-code) [i]
98Linear OA(8154, 162, F8, 119) (dual of [162, 8, 120]-code) [i]
99Linear OA(8150, 156, F8, 119) (dual of [156, 6, 120]-code) [i]
100Linear OOA(4244, 140, F4, 2, 143) (dual of [(140, 2), 36, 144]-NRT-code) [i]Concatenation of Two NRT-Codes
101Linear OOA(4239, 136, F4, 2, 143) (dual of [(136, 2), 33, 144]-NRT-code) [i]
102Linear OOA(4234, 132, F4, 2, 143) (dual of [(132, 2), 30, 144]-NRT-code) [i]
103Linear OOA(4229, 128, F4, 2, 143) (dual of [(128, 2), 27, 144]-NRT-code) [i]
104Linear OOA(4224, 124, F4, 2, 143) (dual of [(124, 2), 24, 144]-NRT-code) [i]
105Linear OOA(4219, 120, F4, 2, 143) (dual of [(120, 2), 21, 144]-NRT-code) [i]
106Linear OOA(4214, 116, F4, 2, 143) (dual of [(116, 2), 18, 144]-NRT-code) [i]
107Linear OOA(4209, 112, F4, 2, 143) (dual of [(112, 2), 15, 144]-NRT-code) [i]
108Linear OOA(4204, 108, F4, 2, 143) (dual of [(108, 2), 12, 144]-NRT-code) [i]
109Linear OOA(4199, 104, F4, 2, 143) (dual of [(104, 2), 9, 144]-NRT-code) [i]
110Linear OOA(4258, 135, F4, 2, 191) (dual of [(135, 2), 12, 192]-NRT-code) [i]
111Linear OOA(4251, 130, F4, 2, 191) (dual of [(130, 2), 9, 192]-NRT-code) [i]
112Linear OOA(4244, 125, F4, 2, 191) (dual of [(125, 2), 6, 192]-NRT-code) [i]
113Linear OOA(2258, 120, F2, 3, 95) (dual of [(120, 3), 102, 96]-NRT-code) [i]
114Linear OOA(2255, 117, F2, 3, 95) (dual of [(117, 3), 96, 96]-NRT-code) [i]