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:

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