Information on Result #606511

Linear OA(649, 64, F64, 9) (dual of [64, 55, 10]-code or 64-arc in PG(8,64)), using Reed–Solomon code RS(55,64)

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 OOA(4118, 65, F4, 2, 79) (dual of [(65, 2), 12, 80]-NRT-code) [i]Concatenation of Two NRT-Codes
2Linear OOA(4111, 60, F4, 2, 79) (dual of [(60, 2), 9, 80]-NRT-code) [i]
3Linear OOA(2222, 60, F2, 4, 139) (dual of [(60, 4), 18, 140]-NRT-code) [i]
4Linear OA(6491, 195, F64, 75) (dual of [195, 104, 76]-code) [i]Construction X with Algebraic-Geometric Codes
5Linear OA(6490, 195, F64, 74) (dual of [195, 105, 75]-code) [i]
6Linear OA(6489, 195, F64, 73) (dual of [195, 106, 74]-code) [i]
7Linear OA(6488, 195, F64, 72) (dual of [195, 107, 73]-code) [i]
8Linear OA(6487, 195, F64, 71) (dual of [195, 108, 72]-code) [i]
9Linear OA(6486, 195, F64, 70) (dual of [195, 109, 71]-code) [i]
10Linear OA(6485, 195, F64, 69) (dual of [195, 110, 70]-code) [i]
11Linear OA(6484, 195, F64, 68) (dual of [195, 111, 69]-code) [i]
12Linear OA(6483, 195, F64, 67) (dual of [195, 112, 68]-code) [i]
13Linear OA(6482, 195, F64, 66) (dual of [195, 113, 67]-code) [i]
14Linear OA(6481, 195, F64, 65) (dual of [195, 114, 66]-code) [i]
15Linear OA(6480, 195, F64, 64) (dual of [195, 115, 65]-code) [i]
16Linear OA(6479, 195, F64, 63) (dual of [195, 116, 64]-code) [i]
17Linear OA(6478, 195, F64, 62) (dual of [195, 117, 63]-code) [i]
18Linear OA(6477, 195, F64, 61) (dual of [195, 118, 62]-code) [i]
19Linear OA(6476, 195, F64, 60) (dual of [195, 119, 61]-code) [i]
20Linear OA(6475, 195, F64, 59) (dual of [195, 120, 60]-code) [i]
21Linear OA(6474, 195, F64, 58) (dual of [195, 121, 59]-code) [i]
22Linear OA(6473, 195, F64, 57) (dual of [195, 122, 58]-code) [i]
23Linear OA(6472, 195, F64, 56) (dual of [195, 123, 57]-code) [i]
24Linear OA(6471, 195, F64, 55) (dual of [195, 124, 56]-code) [i]
25Linear OA(6470, 195, F64, 54) (dual of [195, 125, 55]-code) [i]
26Linear OA(6469, 195, F64, 53) (dual of [195, 126, 54]-code) [i]
27Linear OA(6468, 195, F64, 52) (dual of [195, 127, 53]-code) [i]
28Linear OA(6467, 195, F64, 51) (dual of [195, 128, 52]-code) [i]
29Linear OA(6466, 195, F64, 50) (dual of [195, 129, 51]-code) [i]
30Linear OA(6465, 195, F64, 49) (dual of [195, 130, 50]-code) [i]
31Linear OA(6464, 195, F64, 48) (dual of [195, 131, 49]-code) [i]
32Linear OA(6463, 195, F64, 47) (dual of [195, 132, 48]-code) [i]
33Linear OA(6462, 195, F64, 46) (dual of [195, 133, 47]-code) [i]
34Linear OA(6461, 195, F64, 45) (dual of [195, 134, 46]-code) [i]
35Linear OA(6460, 195, F64, 44) (dual of [195, 135, 45]-code) [i]
36Linear OA(6459, 195, F64, 43) (dual of [195, 136, 44]-code) [i]
37Linear OA(6458, 195, F64, 42) (dual of [195, 137, 43]-code) [i]
38Linear OA(6457, 195, F64, 41) (dual of [195, 138, 42]-code) [i]
39Linear OA(6456, 195, F64, 40) (dual of [195, 139, 41]-code) [i]
40Linear OA(6455, 195, F64, 39) (dual of [195, 140, 40]-code) [i]
41Linear OA(6454, 195, F64, 38) (dual of [195, 141, 39]-code) [i]
42Linear OA(6453, 195, F64, 37) (dual of [195, 142, 38]-code) [i]
43Linear OA(6452, 195, F64, 36) (dual of [195, 143, 37]-code) [i]
44Linear OA(6451, 195, F64, 35) (dual of [195, 144, 36]-code) [i]
45Linear OA(6450, 195, F64, 34) (dual of [195, 145, 35]-code) [i]
46Linear OA(6449, 195, F64, 33) (dual of [195, 146, 34]-code) [i]
47Linear OA(6448, 195, F64, 32) (dual of [195, 147, 33]-code) [i]
48Linear OA(6447, 195, F64, 31) (dual of [195, 148, 32]-code) [i]
49Linear OA(6446, 195, F64, 30) (dual of [195, 149, 31]-code) [i]
50Linear OA(6445, 195, F64, 29) (dual of [195, 150, 30]-code) [i]
51Linear OA(6444, 195, F64, 28) (dual of [195, 151, 29]-code) [i]
52Linear OA(6443, 195, F64, 27) (dual of [195, 152, 28]-code) [i]
53Linear OA(6442, 195, F64, 26) (dual of [195, 153, 27]-code) [i]
54Linear OA(6491, 531, F64, 54) (dual of [531, 440, 55]-code) [i]
55Linear OA(6490, 531, F64, 53) (dual of [531, 441, 54]-code) [i]
56Linear OA(6489, 531, F64, 52) (dual of [531, 442, 53]-code) [i]
57Linear OA(6488, 531, F64, 51) (dual of [531, 443, 52]-code) [i]
58Linear OA(6487, 531, F64, 50) (dual of [531, 444, 51]-code) [i]
59Linear OA(6486, 531, F64, 49) (dual of [531, 445, 50]-code) [i]
60Linear OA(6485, 531, F64, 48) (dual of [531, 446, 49]-code) [i]
61Linear OA(6484, 531, F64, 47) (dual of [531, 447, 48]-code) [i]
62Linear OA(6483, 531, F64, 46) (dual of [531, 448, 47]-code) [i]
63Linear OA(6482, 531, F64, 45) (dual of [531, 449, 46]-code) [i]
64Linear OA(6481, 531, F64, 44) (dual of [531, 450, 45]-code) [i]
65Linear OA(6480, 531, F64, 43) (dual of [531, 451, 44]-code) [i]
66Linear OA(6477, 4119, F64, 29) (dual of [4119, 4042, 30]-code) [i](u, u−v, u+v+w)-Construction
67Linear OA(6478, 4121, F64, 29) (dual of [4121, 4043, 30]-code) [i]
68Linear OA(6479, 4123, F64, 29) (dual of [4123, 4044, 30]-code) [i]
69Linear OA(6475, 4118, F64, 28) (dual of [4118, 4043, 29]-code) [i]
70Linear OA(6476, 4120, F64, 28) (dual of [4120, 4044, 29]-code) [i]
71Linear OA(6477, 4122, F64, 28) (dual of [4122, 4045, 29]-code) [i]
72Linear OA(6473, 4119, F64, 27) (dual of [4119, 4046, 28]-code) [i]
73Linear OA(6474, 4121, F64, 27) (dual of [4121, 4047, 28]-code) [i]
74Linear OA(6488, 262184, F64, 27) (dual of [262184, 262096, 28]-code) [i]Construction X with Cyclic Codes
75Linear OA(6482, 262184, F64, 25) (dual of [262184, 262102, 26]-code) [i]
76Linear OA(6476, 262184, F64, 23) (dual of [262184, 262108, 24]-code) [i]
77Linear OA(6470, 262184, F64, 21) (dual of [262184, 262114, 22]-code) [i]
78Linear OA(6490, 4126, F64, 41) (dual of [4126, 4036, 42]-code) [i]
79Linear OA(6486, 4126, F64, 39) (dual of [4126, 4040, 40]-code) [i]
80Linear OA(6482, 4126, F64, 37) (dual of [4126, 4044, 38]-code) [i]
81Linear OA(6478, 4126, F64, 35) (dual of [4126, 4048, 36]-code) [i]
82Linear OA(6474, 4126, F64, 33) (dual of [4126, 4052, 34]-code) [i]
83Linear OA(6470, 4126, F64, 31) (dual of [4126, 4056, 32]-code) [i]
84Linear OA(6466, 4126, F64, 29) (dual of [4126, 4060, 30]-code) [i]
85Linear OA(6462, 4126, F64, 27) (dual of [4126, 4064, 28]-code) [i]
86Linear OA(6458, 4126, F64, 25) (dual of [4126, 4068, 26]-code) [i]
87Linear OA(6454, 4126, F64, 23) (dual of [4126, 4072, 24]-code) [i]
88Linear OA(6450, 4126, F64, 21) (dual of [4126, 4076, 22]-code) [i]
89Linear OA(6491, 262183, F64, 28) (dual of [262183, 262092, 29]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
90Linear OA(6485, 262183, F64, 26) (dual of [262183, 262098, 27]-code) [i]
91Linear OA(6479, 262183, F64, 24) (dual of [262183, 262104, 25]-code) [i]
92Linear OA(6473, 262183, F64, 22) (dual of [262183, 262110, 23]-code) [i]
93Linear OA(6467, 262183, F64, 20) (dual of [262183, 262116, 21]-code) [i]
94Linear OA(6488, 4125, F64, 40) (dual of [4125, 4037, 41]-code) [i]
95Linear OA(6484, 4125, F64, 38) (dual of [4125, 4041, 39]-code) [i]
96Linear OA(6480, 4125, F64, 36) (dual of [4125, 4045, 37]-code) [i]
97Linear OA(6476, 4125, F64, 34) (dual of [4125, 4049, 35]-code) [i]
98Linear OA(6472, 4125, F64, 32) (dual of [4125, 4053, 33]-code) [i]
99Linear OA(6468, 4125, F64, 30) (dual of [4125, 4057, 31]-code) [i]
100Linear OA(6464, 4125, F64, 28) (dual of [4125, 4061, 29]-code) [i]
101Linear OA(6460, 4125, F64, 26) (dual of [4125, 4065, 27]-code) [i]
102Linear OA(6456, 4125, F64, 24) (dual of [4125, 4069, 25]-code) [i]
103Linear OA(6452, 4125, F64, 22) (dual of [4125, 4073, 23]-code) [i]
104Linear OA(6448, 4125, F64, 20) (dual of [4125, 4077, 21]-code) [i]