Information on Result #606529

Linear OA(6427, 64, F64, 27) (dual of [64, 37, 28]-code or 64-arc in PG(26,64)), using Reed–Solomon code RS(37,64)

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(2225, 441, F2, 55) (dual of [441, 216, 56]-code) [i]Concatenation of Two Codes
2Linear OA(2224, 434, F2, 55) (dual of [434, 210, 56]-code) [i]
3Linear OA(2223, 427, F2, 55) (dual of [427, 204, 56]-code) [i]
4Linear OA(2222, 420, F2, 55) (dual of [420, 198, 56]-code) [i]
5Linear OA(2221, 413, F2, 55) (dual of [413, 192, 56]-code) [i]
6Linear OA(2220, 406, F2, 55) (dual of [406, 186, 56]-code) [i]
7Linear OA(2219, 399, F2, 55) (dual of [399, 180, 56]-code) [i]
8Linear OA(2218, 392, F2, 55) (dual of [392, 174, 56]-code) [i]
9Linear OA(4145, 256, F4, 55) (dual of [256, 111, 56]-code) [i]
10Linear OA(4144, 252, F4, 55) (dual of [252, 108, 56]-code) [i]
11Linear OA(4143, 248, F4, 55) (dual of [248, 105, 56]-code) [i]
12Linear OA(4142, 244, F4, 55) (dual of [244, 102, 56]-code) [i]
13Linear OA(4141, 240, F4, 55) (dual of [240, 99, 56]-code) [i]
14Linear OA(4140, 236, F4, 55) (dual of [236, 96, 56]-code) [i]
15Linear OA(4139, 232, F4, 55) (dual of [232, 93, 56]-code) [i]
16Linear OA(4138, 228, F4, 55) (dual of [228, 90, 56]-code) [i]
17Linear OA(4137, 224, F4, 55) (dual of [224, 87, 56]-code) [i]
18Linear OA(4136, 220, F4, 55) (dual of [220, 84, 56]-code) [i]
19Linear OA(4135, 216, F4, 55) (dual of [216, 81, 56]-code) [i]
20Linear OA(4134, 212, F4, 55) (dual of [212, 78, 56]-code) [i]
21Linear OA(4133, 208, F4, 55) (dual of [208, 75, 56]-code) [i]
22Linear OA(4132, 204, F4, 55) (dual of [204, 72, 56]-code) [i]
23Linear OA(4131, 200, F4, 55) (dual of [200, 69, 56]-code) [i]
24Linear OA(4130, 196, F4, 55) (dual of [196, 66, 56]-code) [i]
25Linear OA(4129, 192, F4, 55) (dual of [192, 63, 56]-code) [i]
26Linear OA(4128, 188, F4, 55) (dual of [188, 60, 56]-code) [i]
27Linear OA(4127, 184, F4, 55) (dual of [184, 57, 56]-code) [i]
28Linear OA(4199, 295, F4, 83) (dual of [295, 96, 84]-code) [i]
29Linear OA(4197, 290, F4, 83) (dual of [290, 93, 84]-code) [i]
30Linear OA(4195, 285, F4, 83) (dual of [285, 90, 84]-code) [i]
31Linear OA(4193, 280, F4, 83) (dual of [280, 87, 84]-code) [i]
32Linear OA(4191, 275, F4, 83) (dual of [275, 84, 84]-code) [i]
33Linear OA(4171, 225, F4, 83) (dual of [225, 54, 84]-code) [i]
34Linear OA(4169, 220, F4, 83) (dual of [220, 51, 84]-code) [i]
35Linear OA(4167, 215, F4, 83) (dual of [215, 48, 84]-code) [i]
36Linear OA(4165, 210, F4, 83) (dual of [210, 45, 84]-code) [i]
37Linear OA(4163, 205, F4, 83) (dual of [205, 42, 84]-code) [i]
38Linear OA(4161, 200, F4, 83) (dual of [200, 39, 84]-code) [i]
39Linear OA(4157, 190, F4, 83) (dual of [190, 33, 84]-code) [i]
40Linear OA(4155, 185, F4, 83) (dual of [185, 30, 84]-code) [i]
41Linear OA(4222, 282, F4, 111) (dual of [282, 60, 112]-code) [i]
42Linear OA(4219, 276, F4, 111) (dual of [276, 57, 112]-code) [i]
43Linear OA(4216, 270, F4, 111) (dual of [270, 54, 112]-code) [i]
44Linear OA(4213, 264, F4, 111) (dual of [264, 51, 112]-code) [i]
45Linear OA(4210, 258, F4, 111) (dual of [258, 48, 112]-code) [i]
46Linear OA(4207, 252, F4, 111) (dual of [252, 45, 112]-code) [i]
47Linear OA(4204, 246, F4, 111) (dual of [246, 42, 112]-code) [i]
48Linear OA(4201, 240, F4, 111) (dual of [240, 39, 112]-code) [i]
49Linear OA(4198, 234, F4, 111) (dual of [234, 36, 112]-code) [i]
50Linear OA(4195, 228, F4, 111) (dual of [228, 33, 112]-code) [i]
51Linear OA(4192, 222, F4, 111) (dual of [222, 30, 112]-code) [i]
52Linear OA(4189, 216, F4, 111) (dual of [216, 27, 112]-code) [i]
53Linear OA(4186, 210, F4, 111) (dual of [210, 24, 112]-code) [i]
54Linear OA(4183, 204, F4, 111) (dual of [204, 21, 112]-code) [i]
55Linear OA(4180, 198, F4, 111) (dual of [198, 18, 112]-code) [i]
56Linear OA(8115, 183, F8, 55) (dual of [183, 68, 56]-code) [i]
57Linear OA(8114, 180, F8, 55) (dual of [180, 66, 56]-code) [i]
58Linear OA(8113, 177, F8, 55) (dual of [177, 64, 56]-code) [i]
59Linear OA(8112, 174, F8, 55) (dual of [174, 62, 56]-code) [i]
60Linear OA(8110, 168, F8, 55) (dual of [168, 58, 56]-code) [i]
61Linear OA(8109, 165, F8, 55) (dual of [165, 56, 56]-code) [i]
62Linear OA(8108, 162, F8, 55) (dual of [162, 54, 56]-code) [i]
63Linear OA(8107, 159, F8, 55) (dual of [159, 52, 56]-code) [i]
64Linear OA(8106, 156, F8, 55) (dual of [156, 50, 56]-code) [i]
65Linear OA(8105, 153, F8, 55) (dual of [153, 48, 56]-code) [i]
66Linear OA(8104, 150, F8, 55) (dual of [150, 46, 56]-code) [i]
67Linear OA(8103, 147, F8, 55) (dual of [147, 44, 56]-code) [i]
68Linear OA(8102, 144, F8, 55) (dual of [144, 42, 56]-code) [i]
69Linear OA(8101, 141, F8, 55) (dual of [141, 40, 56]-code) [i]
70Linear OA(8100, 138, F8, 55) (dual of [138, 38, 56]-code) [i]
71Linear OA(899, 135, F8, 55) (dual of [135, 36, 56]-code) [i]
72Linear OA(898, 132, F8, 55) (dual of [132, 34, 56]-code) [i]
73Linear OA(897, 129, F8, 55) (dual of [129, 32, 56]-code) [i]
74Linear OA(896, 126, F8, 55) (dual of [126, 30, 56]-code) [i]
75Linear OA(895, 123, F8, 55) (dual of [123, 28, 56]-code) [i]
76Linear OA(894, 120, F8, 55) (dual of [120, 26, 56]-code) [i]
77Linear OA(893, 117, F8, 55) (dual of [117, 24, 56]-code) [i]
78Linear OA(892, 114, F8, 55) (dual of [114, 22, 56]-code) [i]
79Linear OA(891, 111, F8, 55) (dual of [111, 20, 56]-code) [i]
80Linear OA(890, 108, F8, 55) (dual of [108, 18, 56]-code) [i]
81Linear OA(889, 105, F8, 55) (dual of [105, 16, 56]-code) [i]
82Linear OA(888, 102, F8, 55) (dual of [102, 14, 56]-code) [i]
83Linear OA(887, 99, F8, 55) (dual of [99, 12, 56]-code) [i]
84Linear OA(8136, 164, F8, 83) (dual of [164, 28, 84]-code) [i]
85Linear OA(8134, 160, F8, 83) (dual of [160, 26, 84]-code) [i]
86Linear OA(8132, 156, F8, 83) (dual of [156, 24, 84]-code) [i]
87Linear OA(8130, 152, F8, 83) (dual of [152, 22, 84]-code) [i]
88Linear OA(8128, 148, F8, 83) (dual of [148, 20, 84]-code) [i]
89Linear OA(8126, 144, F8, 83) (dual of [144, 18, 84]-code) [i]
90Linear OA(8124, 140, F8, 83) (dual of [140, 16, 84]-code) [i]
91Linear OA(8122, 136, F8, 83) (dual of [136, 14, 84]-code) [i]
92Linear OA(8120, 132, F8, 83) (dual of [132, 12, 84]-code) [i]
93Linear OA(8165, 185, F8, 111) (dual of [185, 20, 112]-code) [i]
94Linear OA(8162, 180, F8, 111) (dual of [180, 18, 112]-code) [i]
95Linear OA(8159, 175, F8, 111) (dual of [175, 16, 112]-code) [i]
96Linear OA(8156, 170, F8, 111) (dual of [170, 14, 112]-code) [i]
97Linear OA(8153, 165, F8, 111) (dual of [165, 12, 112]-code) [i]
98Linear OA(8150, 160, F8, 111) (dual of [160, 10, 112]-code) [i]
99Linear OA(8147, 155, F8, 111) (dual of [155, 8, 112]-code) [i]
100Linear OOA(4256, 140, F4, 2, 167) (dual of [(140, 2), 24, 168]-NRT-code) [i]Concatenation of Two NRT-Codes
101Linear OOA(4251, 136, F4, 2, 167) (dual of [(136, 2), 21, 168]-NRT-code) [i]
102Linear OOA(4246, 132, F4, 2, 167) (dual of [(132, 2), 18, 168]-NRT-code) [i]