Information on Result #606507
Linear OA(645, 64, F64, 5) (dual of [64, 59, 6]-code or 64-arc in PG(4,64)), using Reed–Solomon code RS(59,64)
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:
Result | This result only | Method | ||
---|---|---|---|---|
1 | Linear OA(6483, 4125, F64, 29) (dual of [4125, 4042, 30]-code) | [i] | Generalized (u, u+v)-Construction | |
2 | Linear OA(6464, 4118, F64, 23) (dual of [4118, 4054, 24]-code) | [i] | ||
3 | Linear OA(6465, 4121, F64, 23) (dual of [4121, 4056, 24]-code) | [i] | ||
4 | Linear OA(6486, 262166, F64, 23) (dual of [262166, 262080, 24]-code) | [i] | ||
5 | Linear OA(6487, 262169, F64, 23) (dual of [262169, 262082, 24]-code) | [i] | ||
6 | Linear OA(6488, 262172, F64, 23) (dual of [262172, 262084, 24]-code) | [i] | ||
7 | Linear OA(6462, 4117, F64, 22) (dual of [4117, 4055, 23]-code) | [i] | ||
8 | Linear OA(6483, 262165, F64, 22) (dual of [262165, 262082, 23]-code) | [i] | ||
9 | Linear OA(6484, 262168, F64, 22) (dual of [262168, 262084, 23]-code) | [i] | ||
10 | Linear OA(6480, 262166, F64, 21) (dual of [262166, 262086, 22]-code) | [i] | ||
11 | Linear OA(6476, 262165, F64, 20) (dual of [262165, 262089, 21]-code) | [i] | ||
12 | Linear OA(6491, 187, F64, 79) (dual of [187, 96, 80]-code) | [i] | Construction X with Algebraic-Geometric Codes | |
13 | Linear OA(6490, 187, F64, 78) (dual of [187, 97, 79]-code) | [i] | ||
14 | Linear OA(6489, 187, F64, 77) (dual of [187, 98, 78]-code) | [i] | ||
15 | Linear OA(6488, 187, F64, 76) (dual of [187, 99, 77]-code) | [i] | ||
16 | Linear OA(6487, 187, F64, 75) (dual of [187, 100, 76]-code) | [i] | ||
17 | Linear OA(6486, 187, F64, 74) (dual of [187, 101, 75]-code) | [i] | ||
18 | Linear OA(6485, 187, F64, 73) (dual of [187, 102, 74]-code) | [i] | ||
19 | Linear OA(6484, 187, F64, 72) (dual of [187, 103, 73]-code) | [i] | ||
20 | Linear OA(6483, 187, F64, 71) (dual of [187, 104, 72]-code) | [i] | ||
21 | Linear OA(6482, 187, F64, 70) (dual of [187, 105, 71]-code) | [i] | ||
22 | Linear OA(6481, 187, F64, 69) (dual of [187, 106, 70]-code) | [i] | ||
23 | Linear OA(6480, 187, F64, 68) (dual of [187, 107, 69]-code) | [i] | ||
24 | Linear OA(6479, 187, F64, 67) (dual of [187, 108, 68]-code) | [i] | ||
25 | Linear OA(6478, 187, F64, 66) (dual of [187, 109, 67]-code) | [i] | ||
26 | Linear OA(6477, 187, F64, 65) (dual of [187, 110, 66]-code) | [i] | ||
27 | Linear OA(6476, 187, F64, 64) (dual of [187, 111, 65]-code) | [i] | ||
28 | Linear OA(6475, 187, F64, 63) (dual of [187, 112, 64]-code) | [i] | ||
29 | Linear OA(6474, 187, F64, 62) (dual of [187, 113, 63]-code) | [i] | ||
30 | Linear OA(6473, 187, F64, 61) (dual of [187, 114, 62]-code) | [i] | ||
31 | Linear OA(6472, 187, F64, 60) (dual of [187, 115, 61]-code) | [i] | ||
32 | Linear OA(6471, 187, F64, 59) (dual of [187, 116, 60]-code) | [i] | ||
33 | Linear OA(6470, 187, F64, 58) (dual of [187, 117, 59]-code) | [i] | ||
34 | Linear OA(6469, 187, F64, 57) (dual of [187, 118, 58]-code) | [i] | ||
35 | Linear OA(6468, 187, F64, 56) (dual of [187, 119, 57]-code) | [i] | ||
36 | Linear OA(6467, 187, F64, 55) (dual of [187, 120, 56]-code) | [i] | ||
37 | Linear OA(6466, 187, F64, 54) (dual of [187, 121, 55]-code) | [i] | ||
38 | Linear OA(6465, 187, F64, 53) (dual of [187, 122, 54]-code) | [i] | ||
39 | Linear OA(6464, 187, F64, 52) (dual of [187, 123, 53]-code) | [i] | ||
40 | Linear OA(6463, 187, F64, 51) (dual of [187, 124, 52]-code) | [i] | ||
41 | Linear OA(6462, 187, F64, 50) (dual of [187, 125, 51]-code) | [i] | ||
42 | Linear OA(6461, 187, F64, 49) (dual of [187, 126, 50]-code) | [i] | ||
43 | Linear OA(6460, 187, F64, 48) (dual of [187, 127, 49]-code) | [i] | ||
44 | Linear OA(6459, 187, F64, 47) (dual of [187, 128, 48]-code) | [i] | ||
45 | Linear OA(6458, 187, F64, 46) (dual of [187, 129, 47]-code) | [i] | ||
46 | Linear OA(6457, 187, F64, 45) (dual of [187, 130, 46]-code) | [i] | ||
47 | Linear OA(6456, 187, F64, 44) (dual of [187, 131, 45]-code) | [i] | ||
48 | Linear OA(6455, 187, F64, 43) (dual of [187, 132, 44]-code) | [i] | ||
49 | Linear OA(6454, 187, F64, 42) (dual of [187, 133, 43]-code) | [i] | ||
50 | Linear OA(6453, 187, F64, 41) (dual of [187, 134, 42]-code) | [i] | ||
51 | Linear OA(6452, 187, F64, 40) (dual of [187, 135, 41]-code) | [i] | ||
52 | Linear OA(6451, 187, F64, 39) (dual of [187, 136, 40]-code) | [i] | ||
53 | Linear OA(6450, 187, F64, 38) (dual of [187, 137, 39]-code) | [i] | ||
54 | Linear OA(6449, 187, F64, 37) (dual of [187, 138, 38]-code) | [i] | ||
55 | Linear OA(6448, 187, F64, 36) (dual of [187, 139, 37]-code) | [i] | ||
56 | Linear OA(6447, 187, F64, 35) (dual of [187, 140, 36]-code) | [i] | ||
57 | Linear OA(6446, 187, F64, 34) (dual of [187, 141, 35]-code) | [i] | ||
58 | Linear OA(6445, 187, F64, 33) (dual of [187, 142, 34]-code) | [i] | ||
59 | Linear OA(6444, 187, F64, 32) (dual of [187, 143, 33]-code) | [i] | ||
60 | Linear OA(6443, 187, F64, 31) (dual of [187, 144, 32]-code) | [i] | ||
61 | Linear OA(6442, 187, F64, 30) (dual of [187, 145, 31]-code) | [i] | ||
62 | Linear OA(6441, 187, F64, 29) (dual of [187, 146, 30]-code) | [i] | ||
63 | Linear OA(6440, 187, F64, 28) (dual of [187, 147, 29]-code) | [i] | ||
64 | Linear OA(6439, 187, F64, 27) (dual of [187, 148, 28]-code) | [i] | ||
65 | Linear OA(6438, 187, F64, 26) (dual of [187, 149, 27]-code) | [i] | ||
66 | Linear OA(6437, 187, F64, 25) (dual of [187, 150, 26]-code) | [i] | ||
67 | Linear OA(6436, 187, F64, 24) (dual of [187, 151, 25]-code) | [i] | ||
68 | Linear OA(6435, 187, F64, 23) (dual of [187, 152, 24]-code) | [i] | ||
69 | Linear OA(6434, 187, F64, 22) (dual of [187, 153, 23]-code) | [i] | ||
70 | Linear OA(6433, 187, F64, 21) (dual of [187, 154, 22]-code) | [i] | ||
71 | Linear OA(6432, 187, F64, 20) (dual of [187, 155, 21]-code) | [i] | ||
72 | Linear OA(6491, 523, F64, 58) (dual of [523, 432, 59]-code) | [i] | ||
73 | Linear OA(6490, 523, F64, 57) (dual of [523, 433, 58]-code) | [i] | ||
74 | Linear OA(6489, 523, F64, 56) (dual of [523, 434, 57]-code) | [i] | ||
75 | Linear OA(6488, 523, F64, 55) (dual of [523, 435, 56]-code) | [i] | ||
76 | Linear OA(6487, 523, F64, 54) (dual of [523, 436, 55]-code) | [i] | ||
77 | Linear OA(6486, 523, F64, 53) (dual of [523, 437, 54]-code) | [i] | ||
78 | Linear OA(6485, 523, F64, 52) (dual of [523, 438, 53]-code) | [i] | ||
79 | Linear OA(6484, 523, F64, 51) (dual of [523, 439, 52]-code) | [i] | ||
80 | Linear OA(6483, 523, F64, 50) (dual of [523, 440, 51]-code) | [i] | ||
81 | Linear OA(6482, 523, F64, 49) (dual of [523, 441, 50]-code) | [i] | ||
82 | Linear OA(6481, 523, F64, 48) (dual of [523, 442, 49]-code) | [i] | ||
83 | Linear OA(6480, 523, F64, 47) (dual of [523, 443, 48]-code) | [i] | ||
84 | Linear OA(6479, 523, F64, 46) (dual of [523, 444, 47]-code) | [i] | ||
85 | Linear OA(6478, 523, F64, 45) (dual of [523, 445, 46]-code) | [i] | ||
86 | Linear OA(6477, 523, F64, 44) (dual of [523, 446, 45]-code) | [i] | ||
87 | Linear OA(6476, 523, F64, 43) (dual of [523, 447, 44]-code) | [i] | ||
88 | Linear OA(6475, 523, F64, 42) (dual of [523, 448, 43]-code) | [i] | ||
89 | Linear OA(6474, 523, F64, 41) (dual of [523, 449, 42]-code) | [i] | ||
90 | Linear OA(6473, 523, F64, 40) (dual of [523, 450, 41]-code) | [i] | ||
91 | Linear OA(6472, 523, F64, 39) (dual of [523, 451, 40]-code) | [i] | ||
92 | Linear OA(6445, 4111, F64, 17) (dual of [4111, 4066, 18]-code) | [i] | (u, u−v, u+v+w)-Construction | |
93 | Linear OA(6461, 262159, F64, 17) (dual of [262159, 262098, 18]-code) | [i] | ||
94 | Linear OA(6443, 4110, F64, 16) (dual of [4110, 4067, 17]-code) | [i] | ||
95 | Linear OA(6458, 262158, F64, 16) (dual of [262158, 262100, 17]-code) | [i] | ||
96 | Linear OA(6490, 262168, F64, 29) (dual of [262168, 262078, 30]-code) | [i] | Construction X with Cyclic Codes | |
97 | Linear OA(6484, 262168, F64, 27) (dual of [262168, 262084, 28]-code) | [i] | ||
98 | Linear OA(6478, 262168, F64, 25) (dual of [262168, 262090, 26]-code) | [i] | ||
99 | Linear OA(6472, 262168, F64, 23) (dual of [262168, 262096, 24]-code) | [i] | ||
100 | Linear OA(6466, 262168, F64, 21) (dual of [262168, 262102, 22]-code) | [i] | ||
101 | Linear OA(6460, 262168, F64, 19) (dual of [262168, 262108, 20]-code) | [i] | ||
102 | Linear OA(6454, 262168, F64, 17) (dual of [262168, 262114, 18]-code) | [i] | ||
103 | Linear OA(6448, 262168, F64, 15) (dual of [262168, 262120, 16]-code) | [i] | ||
104 | Linear OA(6442, 262168, F64, 13) (dual of [262168, 262126, 14]-code) | [i] | ||
105 | Linear OA(6490, 4114, F64, 43) (dual of [4114, 4024, 44]-code) | [i] | ||
106 | Linear OA(6486, 4114, F64, 41) (dual of [4114, 4028, 42]-code) | [i] | ||
107 | Linear OA(6482, 4114, F64, 39) (dual of [4114, 4032, 40]-code) | [i] | ||
108 | Linear OA(6478, 4114, F64, 37) (dual of [4114, 4036, 38]-code) | [i] | ||
109 | Linear OA(6474, 4114, F64, 35) (dual of [4114, 4040, 36]-code) | [i] | ||
110 | Linear OA(6470, 4114, F64, 33) (dual of [4114, 4044, 34]-code) | [i] | ||
111 | Linear OA(6466, 4114, F64, 31) (dual of [4114, 4048, 32]-code) | [i] | ||
112 | Linear OA(6462, 4114, F64, 29) (dual of [4114, 4052, 30]-code) | [i] | ||
113 | Linear OA(6458, 4114, F64, 27) (dual of [4114, 4056, 28]-code) | [i] | ||
114 | Linear OA(6454, 4114, F64, 25) (dual of [4114, 4060, 26]-code) | [i] | ||
115 | Linear OA(6450, 4114, F64, 23) (dual of [4114, 4064, 24]-code) | [i] | ||
116 | Linear OA(6446, 4114, F64, 21) (dual of [4114, 4068, 22]-code) | [i] | ||
117 | Linear OA(6442, 4114, F64, 19) (dual of [4114, 4072, 20]-code) | [i] | ||
118 | Linear OA(6438, 4114, F64, 17) (dual of [4114, 4076, 18]-code) | [i] | ||
119 | Linear OA(6434, 4114, F64, 15) (dual of [4114, 4080, 16]-code) | [i] | ||
120 | Linear OA(6430, 4114, F64, 13) (dual of [4114, 4084, 14]-code) | [i] | ||
121 | Linear OA(6487, 262167, F64, 28) (dual of [262167, 262080, 29]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
122 | Linear OA(6481, 262167, F64, 26) (dual of [262167, 262086, 27]-code) | [i] | ||
123 | Linear OA(6475, 262167, F64, 24) (dual of [262167, 262092, 25]-code) | [i] | ||
124 | Linear OA(6469, 262167, F64, 22) (dual of [262167, 262098, 23]-code) | [i] | ||
125 | Linear OA(6463, 262167, F64, 20) (dual of [262167, 262104, 21]-code) | [i] | ||
126 | Linear OA(6457, 262167, F64, 18) (dual of [262167, 262110, 19]-code) | [i] | ||
127 | Linear OA(6451, 262167, F64, 16) (dual of [262167, 262116, 17]-code) | [i] | ||
128 | Linear OA(6445, 262167, F64, 14) (dual of [262167, 262122, 15]-code) | [i] | ||
129 | Linear OA(6439, 262167, F64, 12) (dual of [262167, 262128, 13]-code) | [i] | ||
130 | Linear OA(6488, 4113, F64, 42) (dual of [4113, 4025, 43]-code) | [i] | ||
131 | Linear OA(6484, 4113, F64, 40) (dual of [4113, 4029, 41]-code) | [i] | ||
132 | Linear OA(6480, 4113, F64, 38) (dual of [4113, 4033, 39]-code) | [i] | ||
133 | Linear OA(6476, 4113, F64, 36) (dual of [4113, 4037, 37]-code) | [i] | ||
134 | Linear OA(6472, 4113, F64, 34) (dual of [4113, 4041, 35]-code) | [i] | ||
135 | Linear OA(6468, 4113, F64, 32) (dual of [4113, 4045, 33]-code) | [i] | ||
136 | Linear OA(6464, 4113, F64, 30) (dual of [4113, 4049, 31]-code) | [i] | ||
137 | Linear OA(6460, 4113, F64, 28) (dual of [4113, 4053, 29]-code) | [i] | ||
138 | Linear OA(6456, 4113, F64, 26) (dual of [4113, 4057, 27]-code) | [i] | ||
139 | Linear OA(6452, 4113, F64, 24) (dual of [4113, 4061, 25]-code) | [i] | ||
140 | Linear OA(6448, 4113, F64, 22) (dual of [4113, 4065, 23]-code) | [i] | ||
141 | Linear OA(6444, 4113, F64, 20) (dual of [4113, 4069, 21]-code) | [i] | ||
142 | Linear OA(6440, 4113, F64, 18) (dual of [4113, 4073, 19]-code) | [i] | ||
143 | Linear OA(6436, 4113, F64, 16) (dual of [4113, 4077, 17]-code) | [i] | ||
144 | Linear OA(6432, 4113, F64, 14) (dual of [4113, 4081, 15]-code) | [i] | ||
145 | Linear OA(6428, 4113, F64, 12) (dual of [4113, 4085, 13]-code) | [i] |