Information on Result #606526

Linear OA(6424, 64, F64, 24) (dual of [64, 40, 25]-code or 64-arc in PG(23,64)), using Reed–Solomon code RS(40,64)

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(2205, 427, F2, 49) (dual of [427, 222, 50]-code) [i]Concatenation of Two Codes
2Linear OA(2204, 420, F2, 49) (dual of [420, 216, 50]-code) [i]
3Linear OA(2203, 413, F2, 49) (dual of [413, 210, 50]-code) [i]
4Linear OA(2202, 406, F2, 49) (dual of [406, 204, 50]-code) [i]
5Linear OA(2201, 399, F2, 49) (dual of [399, 198, 50]-code) [i]
6Linear OA(2200, 392, F2, 49) (dual of [392, 192, 50]-code) [i]
7Linear OA(2199, 385, F2, 49) (dual of [385, 186, 50]-code) [i]
8Linear OA(4133, 244, F4, 49) (dual of [244, 111, 50]-code) [i]
9Linear OA(4132, 240, F4, 49) (dual of [240, 108, 50]-code) [i]
10Linear OA(4131, 236, F4, 49) (dual of [236, 105, 50]-code) [i]
11Linear OA(4130, 232, F4, 49) (dual of [232, 102, 50]-code) [i]
12Linear OA(4129, 228, F4, 49) (dual of [228, 99, 50]-code) [i]
13Linear OA(4128, 224, F4, 49) (dual of [224, 96, 50]-code) [i]
14Linear OA(4127, 220, F4, 49) (dual of [220, 93, 50]-code) [i]
15Linear OA(4126, 216, F4, 49) (dual of [216, 90, 50]-code) [i]
16Linear OA(4125, 212, F4, 49) (dual of [212, 87, 50]-code) [i]
17Linear OA(4124, 208, F4, 49) (dual of [208, 84, 50]-code) [i]
18Linear OA(4123, 204, F4, 49) (dual of [204, 81, 50]-code) [i]
19Linear OA(4122, 200, F4, 49) (dual of [200, 78, 50]-code) [i]
20Linear OA(4121, 196, F4, 49) (dual of [196, 75, 50]-code) [i]
21Linear OA(4120, 192, F4, 49) (dual of [192, 72, 50]-code) [i]
22Linear OA(4119, 188, F4, 49) (dual of [188, 69, 50]-code) [i]
23Linear OA(4118, 184, F4, 49) (dual of [184, 66, 50]-code) [i]
24Linear OA(4117, 180, F4, 49) (dual of [180, 63, 50]-code) [i]
25Linear OA(4116, 176, F4, 49) (dual of [176, 60, 50]-code) [i]
26Linear OA(4115, 172, F4, 49) (dual of [172, 57, 50]-code) [i]
27Linear OA(4114, 168, F4, 49) (dual of [168, 54, 50]-code) [i]
28Linear OA(4113, 164, F4, 49) (dual of [164, 51, 50]-code) [i]
29Linear OA(4112, 160, F4, 49) (dual of [160, 48, 50]-code) [i]
30Linear OA(4111, 156, F4, 49) (dual of [156, 45, 50]-code) [i]
31Linear OA(4110, 152, F4, 49) (dual of [152, 42, 50]-code) [i]
32Linear OA(4180, 270, F4, 74) (dual of [270, 90, 75]-code) [i]
33Linear OA(4178, 265, F4, 74) (dual of [265, 87, 75]-code) [i]
34Linear OA(4162, 225, F4, 74) (dual of [225, 63, 75]-code) [i]
35Linear OA(4160, 220, F4, 74) (dual of [220, 60, 75]-code) [i]
36Linear OA(4158, 215, F4, 74) (dual of [215, 57, 75]-code) [i]
37Linear OA(4156, 210, F4, 74) (dual of [210, 54, 75]-code) [i]
38Linear OA(4154, 205, F4, 74) (dual of [205, 51, 75]-code) [i]
39Linear OA(4152, 200, F4, 74) (dual of [200, 48, 75]-code) [i]
40Linear OA(4150, 195, F4, 74) (dual of [195, 45, 75]-code) [i]
41Linear OA(4148, 190, F4, 74) (dual of [190, 42, 75]-code) [i]
42Linear OA(4146, 185, F4, 74) (dual of [185, 39, 75]-code) [i]
43Linear OA(4144, 180, F4, 74) (dual of [180, 36, 75]-code) [i]
44Linear OA(4142, 175, F4, 74) (dual of [175, 33, 75]-code) [i]
45Linear OA(4140, 170, F4, 74) (dual of [170, 30, 75]-code) [i]
46Linear OA(4138, 165, F4, 74) (dual of [165, 27, 75]-code) [i]
47Linear OA(4195, 246, F4, 99) (dual of [246, 51, 100]-code) [i]
48Linear OA(4192, 240, F4, 99) (dual of [240, 48, 100]-code) [i]
49Linear OA(4189, 234, F4, 99) (dual of [234, 45, 100]-code) [i]
50Linear OA(4186, 228, F4, 99) (dual of [228, 42, 100]-code) [i]
51Linear OA(4183, 222, F4, 99) (dual of [222, 39, 100]-code) [i]
52Linear OA(4180, 216, F4, 99) (dual of [216, 36, 100]-code) [i]
53Linear OA(4177, 210, F4, 99) (dual of [210, 33, 100]-code) [i]
54Linear OA(4174, 204, F4, 99) (dual of [204, 30, 100]-code) [i]
55Linear OA(4171, 198, F4, 99) (dual of [198, 27, 100]-code) [i]
56Linear OA(4168, 192, F4, 99) (dual of [192, 24, 100]-code) [i]
57Linear OA(4165, 186, F4, 99) (dual of [186, 21, 100]-code) [i]
58Linear OA(898, 150, F8, 49) (dual of [150, 52, 50]-code) [i]
59Linear OA(897, 147, F8, 49) (dual of [147, 50, 50]-code) [i]
60Linear OA(896, 144, F8, 49) (dual of [144, 48, 50]-code) [i]
61Linear OA(895, 141, F8, 49) (dual of [141, 46, 50]-code) [i]
62Linear OA(894, 138, F8, 49) (dual of [138, 44, 50]-code) [i]
63Linear OA(893, 135, F8, 49) (dual of [135, 42, 50]-code) [i]
64Linear OA(892, 132, F8, 49) (dual of [132, 40, 50]-code) [i]
65Linear OA(891, 129, F8, 49) (dual of [129, 38, 50]-code) [i]
66Linear OA(890, 126, F8, 49) (dual of [126, 36, 50]-code) [i]
67Linear OA(889, 123, F8, 49) (dual of [123, 34, 50]-code) [i]
68Linear OA(888, 120, F8, 49) (dual of [120, 32, 50]-code) [i]
69Linear OA(887, 117, F8, 49) (dual of [117, 30, 50]-code) [i]
70Linear OA(886, 114, F8, 49) (dual of [114, 28, 50]-code) [i]
71Linear OA(885, 111, F8, 49) (dual of [111, 26, 50]-code) [i]
72Linear OA(884, 108, F8, 49) (dual of [108, 24, 50]-code) [i]
73Linear OA(883, 105, F8, 49) (dual of [105, 22, 50]-code) [i]
74Linear OA(882, 102, F8, 49) (dual of [102, 20, 50]-code) [i]
75Linear OA(881, 99, F8, 49) (dual of [99, 18, 50]-code) [i]
76Linear OA(880, 96, F8, 49) (dual of [96, 16, 50]-code) [i]
77Linear OA(879, 93, F8, 49) (dual of [93, 14, 50]-code) [i]
78Linear OA(8122, 148, F8, 74) (dual of [148, 26, 75]-code) [i]
79Linear OA(8120, 144, F8, 74) (dual of [144, 24, 75]-code) [i]
80Linear OA(8118, 140, F8, 74) (dual of [140, 22, 75]-code) [i]
81Linear OA(8116, 136, F8, 74) (dual of [136, 20, 75]-code) [i]
82Linear OA(8114, 132, F8, 74) (dual of [132, 18, 75]-code) [i]
83Linear OA(8112, 128, F8, 74) (dual of [128, 16, 75]-code) [i]
84Linear OA(8110, 124, F8, 74) (dual of [124, 14, 75]-code) [i]
85Linear OA(8108, 120, F8, 74) (dual of [120, 12, 75]-code) [i]
86Linear OA(8106, 116, F8, 74) (dual of [116, 10, 75]-code) [i]
87Linear OA(8147, 165, F8, 99) (dual of [165, 18, 100]-code) [i]
88Linear OA(8144, 160, F8, 99) (dual of [160, 16, 100]-code) [i]
89Linear OA(8141, 155, F8, 99) (dual of [155, 14, 100]-code) [i]
90Linear OA(8138, 150, F8, 99) (dual of [150, 12, 100]-code) [i]
91Linear OA(8135, 145, F8, 99) (dual of [145, 10, 100]-code) [i]
92Linear OA(8132, 140, F8, 99) (dual of [140, 8, 100]-code) [i]
93Linear OA(8172, 186, F8, 124) (dual of [186, 14, 125]-code) [i]
94Linear OA(8168, 180, F8, 124) (dual of [180, 12, 125]-code) [i]
95Linear OA(8164, 174, F8, 124) (dual of [174, 10, 125]-code) [i]
96Linear OA(8160, 168, F8, 124) (dual of [168, 8, 125]-code) [i]
97Linear OA(8156, 162, F8, 124) (dual of [162, 6, 125]-code) [i]
98Linear OOA(4257, 148, F4, 2, 149) (dual of [(148, 2), 39, 150]-NRT-code) [i]Concatenation of Two NRT-Codes
99Linear OOA(4252, 144, F4, 2, 149) (dual of [(144, 2), 36, 150]-NRT-code) [i]
100Linear OOA(4247, 140, F4, 2, 149) (dual of [(140, 2), 33, 150]-NRT-code) [i]
101Linear OOA(4242, 136, F4, 2, 149) (dual of [(136, 2), 30, 150]-NRT-code) [i]
102Linear OOA(4237, 132, F4, 2, 149) (dual of [(132, 2), 27, 150]-NRT-code) [i]
103Linear OOA(4232, 128, F4, 2, 149) (dual of [(128, 2), 24, 150]-NRT-code) [i]
104Linear OOA(4227, 124, F4, 2, 149) (dual of [(124, 2), 21, 150]-NRT-code) [i]
105Linear OOA(4222, 120, F4, 2, 149) (dual of [(120, 2), 18, 150]-NRT-code) [i]
106Linear OOA(4217, 116, F4, 2, 149) (dual of [(116, 2), 15, 150]-NRT-code) [i]
107Linear OOA(4212, 112, F4, 2, 149) (dual of [(112, 2), 12, 150]-NRT-code) [i]
108Linear OOA(4254, 130, F4, 2, 199) (dual of [(130, 2), 6, 200]-NRT-code) [i]