Information on Result #606512

Linear OA(6410, 64, F64, 10) (dual of [64, 54, 11]-code or 64-arc in PG(9,64)), using Reed–Solomon code RS(54,64)

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(472, 105, F4, 32) (dual of [105, 33, 33]-code) [i]Concatenation of Two Codes
2Linear OA(481, 102, F4, 43) (dual of [102, 21, 44]-code) [i]
3Linear OA(885, 91, F8, 65) (dual of [91, 6, 66]-code) [i]
4Linear OOA(4128, 70, F4, 2, 87) (dual of [(70, 2), 12, 88]-NRT-code) [i]Concatenation of Two NRT-Codes
5Linear OOA(4121, 65, F4, 2, 87) (dual of [(65, 2), 9, 88]-NRT-code) [i]
6Linear OOA(2138, 78, F2, 3, 43) (dual of [(78, 3), 96, 44]-NRT-code) [i]
7Linear OOA(2135, 75, F2, 3, 43) (dual of [(75, 3), 90, 44]-NRT-code) [i]
8Linear OOA(2132, 72, F2, 3, 43) (dual of [(72, 3), 84, 44]-NRT-code) [i]
9Linear OOA(2216, 78, F2, 4, 76) (dual of [(78, 4), 96, 77]-NRT-code) [i]
10Linear OOA(2204, 72, F2, 4, 76) (dual of [(72, 4), 84, 77]-NRT-code) [i]
11Linear OOA(2174, 57, F2, 4, 76) (dual of [(57, 4), 54, 77]-NRT-code) [i]
12Linear OOA(2256, 70, F2, 4, 153) (dual of [(70, 4), 24, 154]-NRT-code) [i]
13Linear OOA(2242, 65, F2, 4, 153) (dual of [(65, 4), 18, 154]-NRT-code) [i]
14Linear OA(6491, 197, F64, 74) (dual of [197, 106, 75]-code) [i]Construction X with Algebraic-Geometric Codes
15Linear OA(6490, 197, F64, 73) (dual of [197, 107, 74]-code) [i]
16Linear OA(6489, 197, F64, 72) (dual of [197, 108, 73]-code) [i]
17Linear OA(6488, 197, F64, 71) (dual of [197, 109, 72]-code) [i]
18Linear OA(6487, 197, F64, 70) (dual of [197, 110, 71]-code) [i]
19Linear OA(6486, 197, F64, 69) (dual of [197, 111, 70]-code) [i]
20Linear OA(6485, 197, F64, 68) (dual of [197, 112, 69]-code) [i]
21Linear OA(6484, 197, F64, 67) (dual of [197, 113, 68]-code) [i]
22Linear OA(6483, 197, F64, 66) (dual of [197, 114, 67]-code) [i]
23Linear OA(6482, 197, F64, 65) (dual of [197, 115, 66]-code) [i]
24Linear OA(6481, 197, F64, 64) (dual of [197, 116, 65]-code) [i]
25Linear OA(6480, 197, F64, 63) (dual of [197, 117, 64]-code) [i]
26Linear OA(6479, 197, F64, 62) (dual of [197, 118, 63]-code) [i]
27Linear OA(6478, 197, F64, 61) (dual of [197, 119, 62]-code) [i]
28Linear OA(6477, 197, F64, 60) (dual of [197, 120, 61]-code) [i]
29Linear OA(6476, 197, F64, 59) (dual of [197, 121, 60]-code) [i]
30Linear OA(6475, 197, F64, 58) (dual of [197, 122, 59]-code) [i]
31Linear OA(6474, 197, F64, 57) (dual of [197, 123, 58]-code) [i]
32Linear OA(6473, 197, F64, 56) (dual of [197, 124, 57]-code) [i]
33Linear OA(6472, 197, F64, 55) (dual of [197, 125, 56]-code) [i]
34Linear OA(6471, 197, F64, 54) (dual of [197, 126, 55]-code) [i]
35Linear OA(6470, 197, F64, 53) (dual of [197, 127, 54]-code) [i]
36Linear OA(6469, 197, F64, 52) (dual of [197, 128, 53]-code) [i]
37Linear OA(6468, 197, F64, 51) (dual of [197, 129, 52]-code) [i]
38Linear OA(6467, 197, F64, 50) (dual of [197, 130, 51]-code) [i]
39Linear OA(6466, 197, F64, 49) (dual of [197, 131, 50]-code) [i]
40Linear OA(6465, 197, F64, 48) (dual of [197, 132, 49]-code) [i]
41Linear OA(6464, 197, F64, 47) (dual of [197, 133, 48]-code) [i]
42Linear OA(6463, 197, F64, 46) (dual of [197, 134, 47]-code) [i]
43Linear OA(6462, 197, F64, 45) (dual of [197, 135, 46]-code) [i]
44Linear OA(6461, 197, F64, 44) (dual of [197, 136, 45]-code) [i]
45Linear OA(6460, 197, F64, 43) (dual of [197, 137, 44]-code) [i]
46Linear OA(6459, 197, F64, 42) (dual of [197, 138, 43]-code) [i]
47Linear OA(6458, 197, F64, 41) (dual of [197, 139, 42]-code) [i]
48Linear OA(6457, 197, F64, 40) (dual of [197, 140, 41]-code) [i]
49Linear OA(6456, 197, F64, 39) (dual of [197, 141, 40]-code) [i]
50Linear OA(6455, 197, F64, 38) (dual of [197, 142, 39]-code) [i]
51Linear OA(6454, 197, F64, 37) (dual of [197, 143, 38]-code) [i]
52Linear OA(6453, 197, F64, 36) (dual of [197, 144, 37]-code) [i]
53Linear OA(6452, 197, F64, 35) (dual of [197, 145, 36]-code) [i]
54Linear OA(6451, 197, F64, 34) (dual of [197, 146, 35]-code) [i]
55Linear OA(6450, 197, F64, 33) (dual of [197, 147, 34]-code) [i]
56Linear OA(6449, 197, F64, 32) (dual of [197, 148, 33]-code) [i]
57Linear OA(6448, 197, F64, 31) (dual of [197, 149, 32]-code) [i]
58Linear OA(6447, 197, F64, 30) (dual of [197, 150, 31]-code) [i]
59Linear OA(6446, 197, F64, 29) (dual of [197, 151, 30]-code) [i]
60Linear OA(6445, 197, F64, 28) (dual of [197, 152, 29]-code) [i]
61Linear OA(6444, 197, F64, 27) (dual of [197, 153, 28]-code) [i]
62Linear OA(6443, 197, F64, 26) (dual of [197, 154, 27]-code) [i]
63Linear OA(6442, 197, F64, 25) (dual of [197, 155, 26]-code) [i]
64Linear OA(6441, 197, F64, 24) (dual of [197, 156, 25]-code) [i]
65Linear OA(6491, 533, F64, 53) (dual of [533, 442, 54]-code) [i]
66Linear OA(6490, 533, F64, 52) (dual of [533, 443, 53]-code) [i]
67Linear OA(6489, 533, F64, 51) (dual of [533, 444, 52]-code) [i]
68Linear OA(6488, 533, F64, 50) (dual of [533, 445, 51]-code) [i]
69Linear OA(6487, 533, F64, 49) (dual of [533, 446, 50]-code) [i]
70Linear OA(6486, 533, F64, 48) (dual of [533, 447, 49]-code) [i]
71Linear OA(6485, 533, F64, 47) (dual of [533, 448, 48]-code) [i]
72Linear OA(6484, 533, F64, 46) (dual of [533, 449, 47]-code) [i]
73Linear OA(6483, 533, F64, 45) (dual of [533, 450, 46]-code) [i]
74Linear OA(6482, 533, F64, 44) (dual of [533, 451, 45]-code) [i]
75Linear OA(6485, 4120, F64, 32) (dual of [4120, 4035, 33]-code) [i](u, u−v, u+v+w)-Construction
76Linear OA(6486, 4122, F64, 32) (dual of [4122, 4036, 33]-code) [i]
77Linear OA(6487, 4124, F64, 32) (dual of [4124, 4037, 33]-code) [i]
78Linear OA(6488, 4126, F64, 32) (dual of [4126, 4038, 33]-code) [i]
79Linear OA(6483, 4121, F64, 31) (dual of [4121, 4038, 32]-code) [i]
80Linear OA(6484, 4123, F64, 31) (dual of [4123, 4039, 32]-code) [i]
81Linear OA(6485, 4125, F64, 31) (dual of [4125, 4040, 32]-code) [i]
82Linear OA(6481, 4120, F64, 30) (dual of [4120, 4039, 31]-code) [i]
83Linear OA(6482, 4122, F64, 30) (dual of [4122, 4040, 31]-code) [i]
84Linear OA(6483, 4124, F64, 30) (dual of [4124, 4041, 31]-code) [i]
85Linear OA(6491, 4131, F64, 40) (dual of [4131, 4040, 41]-code) [i]Construction X with Cyclic Codes
86Linear OA(6489, 262187, F64, 27) (dual of [262187, 262098, 28]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
87Linear OA(6486, 262187, F64, 26) (dual of [262187, 262101, 27]-code) [i]
88Linear OA(6483, 262187, F64, 25) (dual of [262187, 262104, 26]-code) [i]
89Linear OA(6480, 262187, F64, 24) (dual of [262187, 262107, 25]-code) [i]
90Linear OA(6477, 262187, F64, 23) (dual of [262187, 262110, 24]-code) [i]
91Linear OA(6474, 262187, F64, 22) (dual of [262187, 262113, 23]-code) [i]
92Linear OA(6491, 4128, F64, 41) (dual of [4128, 4037, 42]-code) [i]
93Linear OA(6489, 4128, F64, 40) (dual of [4128, 4039, 41]-code) [i]
94Linear OA(6487, 4128, F64, 39) (dual of [4128, 4041, 40]-code) [i]
95Linear OA(6485, 4128, F64, 38) (dual of [4128, 4043, 39]-code) [i]
96Linear OA(6483, 4128, F64, 37) (dual of [4128, 4045, 38]-code) [i]
97Linear OA(6481, 4128, F64, 36) (dual of [4128, 4047, 37]-code) [i]
98Linear OA(6479, 4128, F64, 35) (dual of [4128, 4049, 36]-code) [i]
99Linear OA(6477, 4128, F64, 34) (dual of [4128, 4051, 35]-code) [i]
100Linear OA(6475, 4128, F64, 33) (dual of [4128, 4053, 34]-code) [i]
101Linear OA(6473, 4128, F64, 32) (dual of [4128, 4055, 33]-code) [i]
102Linear OA(6471, 4128, F64, 31) (dual of [4128, 4057, 32]-code) [i]
103Linear OA(6469, 4128, F64, 30) (dual of [4128, 4059, 31]-code) [i]
104Linear OA(6467, 4128, F64, 29) (dual of [4128, 4061, 30]-code) [i]
105Linear OA(6465, 4128, F64, 28) (dual of [4128, 4063, 29]-code) [i]
106Linear OA(6463, 4128, F64, 27) (dual of [4128, 4065, 28]-code) [i]
107Linear OA(6461, 4128, F64, 26) (dual of [4128, 4067, 27]-code) [i]
108Linear OA(6459, 4128, F64, 25) (dual of [4128, 4069, 26]-code) [i]
109Linear OA(6457, 4128, F64, 24) (dual of [4128, 4071, 25]-code) [i]
110Linear OA(6455, 4128, F64, 23) (dual of [4128, 4073, 24]-code) [i]
111Linear OA(6453, 4128, F64, 22) (dual of [4128, 4075, 23]-code) [i]