Information on Result #606522

Linear OA(6420, 64, F64, 20) (dual of [64, 44, 21]-code or 64-arc in PG(19,64)), using Reed–Solomon code RS(44,64)

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(2171, 357, F2, 41) (dual of [357, 186, 42]-code) [i]Concatenation of Two Codes
2Linear OA(2170, 350, F2, 41) (dual of [350, 180, 42]-code) [i]
3Linear OA(2169, 343, F2, 41) (dual of [343, 174, 42]-code) [i]
4Linear OA(2168, 336, F2, 41) (dual of [336, 168, 42]-code) [i]
5Linear OA(2167, 329, F2, 41) (dual of [329, 162, 42]-code) [i]
6Linear OA(2166, 322, F2, 41) (dual of [322, 156, 42]-code) [i]
7Linear OA(2165, 315, F2, 41) (dual of [315, 150, 42]-code) [i]
8Linear OA(2164, 308, F2, 41) (dual of [308, 144, 42]-code) [i]
9Linear OA(2163, 301, F2, 41) (dual of [301, 138, 42]-code) [i]
10Linear OA(2162, 294, F2, 41) (dual of [294, 132, 42]-code) [i]
11Linear OA(2161, 287, F2, 41) (dual of [287, 126, 42]-code) [i]
12Linear OA(4112, 208, F4, 41) (dual of [208, 96, 42]-code) [i]
13Linear OA(4111, 204, F4, 41) (dual of [204, 93, 42]-code) [i]
14Linear OA(4110, 200, F4, 41) (dual of [200, 90, 42]-code) [i]
15Linear OA(4109, 196, F4, 41) (dual of [196, 87, 42]-code) [i]
16Linear OA(4108, 192, F4, 41) (dual of [192, 84, 42]-code) [i]
17Linear OA(4107, 188, F4, 41) (dual of [188, 81, 42]-code) [i]
18Linear OA(4106, 184, F4, 41) (dual of [184, 78, 42]-code) [i]
19Linear OA(4105, 180, F4, 41) (dual of [180, 75, 42]-code) [i]
20Linear OA(4104, 176, F4, 41) (dual of [176, 72, 42]-code) [i]
21Linear OA(4103, 172, F4, 41) (dual of [172, 69, 42]-code) [i]
22Linear OA(4102, 168, F4, 41) (dual of [168, 66, 42]-code) [i]
23Linear OA(4101, 164, F4, 41) (dual of [164, 63, 42]-code) [i]
24Linear OA(4100, 160, F4, 41) (dual of [160, 60, 42]-code) [i]
25Linear OA(499, 156, F4, 41) (dual of [156, 57, 42]-code) [i]
26Linear OA(498, 152, F4, 41) (dual of [152, 54, 42]-code) [i]
27Linear OA(497, 148, F4, 41) (dual of [148, 51, 42]-code) [i]
28Linear OA(496, 144, F4, 41) (dual of [144, 48, 42]-code) [i]
29Linear OA(495, 140, F4, 41) (dual of [140, 45, 42]-code) [i]
30Linear OA(4144, 210, F4, 62) (dual of [210, 66, 63]-code) [i]
31Linear OA(4142, 205, F4, 62) (dual of [205, 63, 63]-code) [i]
32Linear OA(4140, 200, F4, 62) (dual of [200, 60, 63]-code) [i]
33Linear OA(4138, 195, F4, 62) (dual of [195, 57, 63]-code) [i]
34Linear OA(4136, 190, F4, 62) (dual of [190, 54, 63]-code) [i]
35Linear OA(4134, 185, F4, 62) (dual of [185, 51, 63]-code) [i]
36Linear OA(4132, 180, F4, 62) (dual of [180, 48, 63]-code) [i]
37Linear OA(4130, 175, F4, 62) (dual of [175, 45, 63]-code) [i]
38Linear OA(4128, 170, F4, 62) (dual of [170, 42, 63]-code) [i]
39Linear OA(4126, 165, F4, 62) (dual of [165, 39, 63]-code) [i]
40Linear OA(4124, 160, F4, 62) (dual of [160, 36, 63]-code) [i]
41Linear OA(4122, 155, F4, 62) (dual of [155, 33, 63]-code) [i]
42Linear OA(4120, 150, F4, 62) (dual of [150, 30, 63]-code) [i]
43Linear OA(4118, 145, F4, 62) (dual of [145, 27, 63]-code) [i]
44Linear OA(4162, 204, F4, 83) (dual of [204, 42, 84]-code) [i]
45Linear OA(4159, 198, F4, 83) (dual of [198, 39, 84]-code) [i]
46Linear OA(4156, 192, F4, 83) (dual of [192, 36, 84]-code) [i]
47Linear OA(4153, 186, F4, 83) (dual of [186, 33, 84]-code) [i]
48Linear OA(4150, 180, F4, 83) (dual of [180, 30, 84]-code) [i]
49Linear OA(4147, 174, F4, 83) (dual of [174, 27, 84]-code) [i]
50Linear OA(4144, 168, F4, 83) (dual of [168, 24, 84]-code) [i]
51Linear OA(4141, 162, F4, 83) (dual of [162, 21, 84]-code) [i]
52Linear OA(881, 123, F8, 41) (dual of [123, 42, 42]-code) [i]
53Linear OA(880, 120, F8, 41) (dual of [120, 40, 42]-code) [i]
54Linear OA(879, 117, F8, 41) (dual of [117, 38, 42]-code) [i]
55Linear OA(878, 114, F8, 41) (dual of [114, 36, 42]-code) [i]
56Linear OA(877, 111, F8, 41) (dual of [111, 34, 42]-code) [i]
57Linear OA(876, 108, F8, 41) (dual of [108, 32, 42]-code) [i]
58Linear OA(875, 105, F8, 41) (dual of [105, 30, 42]-code) [i]
59Linear OA(874, 102, F8, 41) (dual of [102, 28, 42]-code) [i]
60Linear OA(873, 99, F8, 41) (dual of [99, 26, 42]-code) [i]
61Linear OA(872, 96, F8, 41) (dual of [96, 24, 42]-code) [i]
62Linear OA(871, 93, F8, 41) (dual of [93, 22, 42]-code) [i]
63Linear OA(870, 90, F8, 41) (dual of [90, 20, 42]-code) [i]
64Linear OA(869, 87, F8, 41) (dual of [87, 18, 42]-code) [i]
65Linear OA(868, 84, F8, 41) (dual of [84, 16, 42]-code) [i]
66Linear OA(867, 81, F8, 41) (dual of [81, 14, 42]-code) [i]
67Linear OA(8102, 124, F8, 62) (dual of [124, 22, 63]-code) [i]
68Linear OA(8100, 120, F8, 62) (dual of [120, 20, 63]-code) [i]
69Linear OA(898, 116, F8, 62) (dual of [116, 18, 63]-code) [i]
70Linear OA(896, 112, F8, 62) (dual of [112, 16, 63]-code) [i]
71Linear OA(894, 108, F8, 62) (dual of [108, 14, 63]-code) [i]
72Linear OA(892, 104, F8, 62) (dual of [104, 12, 63]-code) [i]
73Linear OA(890, 100, F8, 62) (dual of [100, 10, 63]-code) [i]
74Linear OA(888, 96, F8, 62) (dual of [96, 8, 63]-code) [i]
75Linear OA(8121, 135, F8, 83) (dual of [135, 14, 84]-code) [i]
76Linear OA(8118, 130, F8, 83) (dual of [130, 12, 84]-code) [i]
77Linear OA(8115, 125, F8, 83) (dual of [125, 10, 84]-code) [i]
78Linear OA(8144, 156, F8, 104) (dual of [156, 12, 105]-code) [i]
79Linear OA(8140, 150, F8, 104) (dual of [150, 10, 105]-code) [i]
80Linear OA(8136, 144, F8, 104) (dual of [144, 8, 105]-code) [i]
81Linear OA(8132, 138, F8, 104) (dual of [138, 6, 105]-code) [i]
82Linear OA(8170, 182, F8, 125) (dual of [182, 12, 126]-code) [i]
83Linear OA(8165, 175, F8, 125) (dual of [175, 10, 126]-code) [i]
84Linear OA(8160, 168, F8, 125) (dual of [168, 8, 126]-code) [i]
85Linear OA(8155, 161, F8, 125) (dual of [161, 6, 126]-code) [i]
86Linear OOA(4215, 124, F4, 2, 125) (dual of [(124, 2), 33, 126]-NRT-code) [i]Concatenation of Two NRT-Codes
87Linear OOA(4210, 120, F4, 2, 125) (dual of [(120, 2), 30, 126]-NRT-code) [i]
88Linear OOA(4205, 116, F4, 2, 125) (dual of [(116, 2), 27, 126]-NRT-code) [i]
89Linear OOA(4200, 112, F4, 2, 125) (dual of [(112, 2), 24, 126]-NRT-code) [i]
90Linear OOA(4195, 108, F4, 2, 125) (dual of [(108, 2), 21, 126]-NRT-code) [i]
91Linear OOA(4190, 104, F4, 2, 125) (dual of [(104, 2), 18, 126]-NRT-code) [i]
92Linear OOA(4185, 100, F4, 2, 125) (dual of [(100, 2), 15, 126]-NRT-code) [i]
93Linear OOA(4249, 135, F4, 2, 167) (dual of [(135, 2), 21, 168]-NRT-code) [i]
94Linear OOA(4242, 130, F4, 2, 167) (dual of [(130, 2), 18, 168]-NRT-code) [i]
95Linear OOA(4235, 125, F4, 2, 167) (dual of [(125, 2), 15, 168]-NRT-code) [i]
96Linear OOA(4228, 120, F4, 2, 167) (dual of [(120, 2), 12, 168]-NRT-code) [i]
97Linear OOA(4221, 115, F4, 2, 167) (dual of [(115, 2), 9, 168]-NRT-code) [i]
98Linear OOA(2258, 138, F2, 3, 83) (dual of [(138, 3), 156, 84]-NRT-code) [i]
99Linear OOA(2255, 135, F2, 3, 83) (dual of [(135, 3), 150, 84]-NRT-code) [i]
100Linear OOA(2252, 132, F2, 3, 83) (dual of [(132, 3), 144, 84]-NRT-code) [i]
101Linear OOA(2249, 129, F2, 3, 83) (dual of [(129, 3), 138, 84]-NRT-code) [i]
102Linear OOA(2246, 126, F2, 3, 83) (dual of [(126, 3), 132, 84]-NRT-code) [i]
103Linear OOA(2243, 123, F2, 3, 83) (dual of [(123, 3), 126, 84]-NRT-code) [i]
104Linear OOA(2240, 120, F2, 3, 83) (dual of [(120, 3), 120, 84]-NRT-code) [i]
105Linear OOA(2237, 117, F2, 3, 83) (dual of [(117, 3), 114, 84]-NRT-code) [i]
106Linear OOA(2234, 114, F2, 3, 83) (dual of [(114, 3), 108, 84]-NRT-code) [i]
107Linear OOA(2231, 111, F2, 3, 83) (dual of [(111, 3), 102, 84]-NRT-code) [i]
108Linear OOA(2228, 108, F2, 3, 83) (dual of [(108, 3), 96, 84]-NRT-code) [i]
109Linear OA(6491, 217, F64, 64) (dual of [217, 126, 65]-code) [i]Construction X with Algebraic-Geometric Codes
110Linear OA(6490, 217, F64, 63) (dual of [217, 127, 64]-code) [i]
111Linear OA(6489, 217, F64, 62) (dual of [217, 128, 63]-code) [i]
112Linear OA(6488, 217, F64, 61) (dual of [217, 129, 62]-code) [i]
113Linear OA(6487, 217, F64, 60) (dual of [217, 130, 61]-code) [i]
114Linear OA(6486, 217, F64, 59) (dual of [217, 131, 60]-code) [i]
115Linear OA(6485, 217, F64, 58) (dual of [217, 132, 59]-code) [i]
116Linear OA(6484, 217, F64, 57) (dual of [217, 133, 58]-code) [i]
117Linear OA(6483, 217, F64, 56) (dual of [217, 134, 57]-code) [i]
118Linear OA(6482, 217, F64, 55) (dual of [217, 135, 56]-code) [i]
119Linear OA(6481, 217, F64, 54) (dual of [217, 136, 55]-code) [i]
120Linear OA(6480, 217, F64, 53) (dual of [217, 137, 54]-code) [i]
121Linear OA(6479, 217, F64, 52) (dual of [217, 138, 53]-code) [i]
122Linear OA(6478, 217, F64, 51) (dual of [217, 139, 52]-code) [i]
123Linear OA(6477, 217, F64, 50) (dual of [217, 140, 51]-code) [i]
124Linear OA(6476, 217, F64, 49) (dual of [217, 141, 50]-code) [i]
125Linear OA(6475, 217, F64, 48) (dual of [217, 142, 49]-code) [i]
126Linear OA(6474, 217, F64, 47) (dual of [217, 143, 48]-code) [i]
127Linear OA(6473, 217, F64, 46) (dual of [217, 144, 47]-code) [i]
128Linear OA(6472, 217, F64, 45) (dual of [217, 145, 46]-code) [i]
129Linear OA(6471, 217, F64, 44) (dual of [217, 146, 45]-code) [i]
130Linear OA(6470, 217, F64, 43) (dual of [217, 147, 44]-code) [i]
131Linear OA(6469, 217, F64, 42) (dual of [217, 148, 43]-code) [i]
132Linear OA(6468, 217, F64, 41) (dual of [217, 149, 42]-code) [i]
133Linear OA(6467, 217, F64, 40) (dual of [217, 150, 41]-code) [i]
134Linear OA(6466, 217, F64, 39) (dual of [217, 151, 40]-code) [i]
135Linear OA(6465, 217, F64, 38) (dual of [217, 152, 39]-code) [i]
136Linear OA(6464, 217, F64, 37) (dual of [217, 153, 38]-code) [i]
137Linear OA(6463, 217, F64, 36) (dual of [217, 154, 37]-code) [i]
138Linear OA(6462, 217, F64, 35) (dual of [217, 155, 36]-code) [i]