Information on Result #606514

Linear OA(6412, 64, F64, 12) (dual of [64, 52, 13]-code or 64-arc in PG(11,64)), using Reed–Solomon code RS(52,64)

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(461, 100, F4, 25) (dual of [100, 39, 26]-code) [i]Concatenation of Two Codes
2Linear OA(486, 125, F4, 38) (dual of [125, 39, 39]-code) [i]
3Linear OA(484, 120, F4, 38) (dual of [120, 36, 39]-code) [i]
4Linear OA(482, 115, F4, 38) (dual of [115, 33, 39]-code) [i]
5Linear OA(478, 105, F4, 38) (dual of [105, 27, 39]-code) [i]
6Linear OA(499, 126, F4, 51) (dual of [126, 27, 52]-code) [i]
7Linear OA(496, 120, F4, 51) (dual of [120, 24, 52]-code) [i]
8Linear OA(493, 114, F4, 51) (dual of [114, 21, 52]-code) [i]
9Linear OA(490, 108, F4, 51) (dual of [108, 18, 52]-code) [i]
10Linear OA(487, 102, F4, 51) (dual of [102, 15, 52]-code) [i]
11Linear OA(862, 76, F8, 38) (dual of [76, 14, 39]-code) [i]
12Linear OA(875, 85, F8, 51) (dual of [85, 10, 52]-code) [i]
13Linear OA(872, 80, F8, 51) (dual of [80, 8, 52]-code) [i]
14Linear OA(888, 96, F8, 64) (dual of [96, 8, 65]-code) [i]
15Linear OA(884, 90, F8, 64) (dual of [90, 6, 65]-code) [i]
16Linear OA(899, 105, F8, 77) (dual of [105, 6, 78]-code) [i]
17Linear OA(8114, 120, F8, 90) (dual of [120, 6, 91]-code) [i]
18Linear OOA(4131, 76, F4, 2, 77) (dual of [(76, 2), 21, 78]-NRT-code) [i]Concatenation of Two NRT-Codes
19Linear OOA(4126, 72, F4, 2, 77) (dual of [(72, 2), 18, 78]-NRT-code) [i]
20Linear OOA(4121, 68, F4, 2, 77) (dual of [(68, 2), 15, 78]-NRT-code) [i]
21Linear OOA(4116, 64, F4, 2, 77) (dual of [(64, 2), 12, 78]-NRT-code) [i]
22Linear OOA(4155, 85, F4, 2, 103) (dual of [(85, 2), 15, 104]-NRT-code) [i]
23Linear OOA(4148, 80, F4, 2, 103) (dual of [(80, 2), 12, 104]-NRT-code) [i]
24Linear OOA(4141, 75, F4, 2, 103) (dual of [(75, 2), 9, 104]-NRT-code) [i]
25Linear OOA(4246, 126, F4, 2, 194) (dual of [(126, 2), 6, 195]-NRT-code) [i]
26Linear OOA(2165, 93, F2, 3, 51) (dual of [(93, 3), 114, 52]-NRT-code) [i]
27Linear OOA(2162, 90, F2, 3, 51) (dual of [(90, 3), 108, 52]-NRT-code) [i]
28Linear OOA(2159, 87, F2, 3, 51) (dual of [(87, 3), 102, 52]-NRT-code) [i]
29Linear OOA(2156, 84, F2, 3, 51) (dual of [(84, 3), 96, 52]-NRT-code) [i]
30Linear OOA(2153, 81, F2, 3, 51) (dual of [(81, 3), 90, 52]-NRT-code) [i]
31Linear OOA(2150, 78, F2, 3, 51) (dual of [(78, 3), 84, 52]-NRT-code) [i]
32Linear OOA(2147, 75, F2, 3, 51) (dual of [(75, 3), 78, 52]-NRT-code) [i]
33Linear OOA(2144, 72, F2, 3, 51) (dual of [(72, 3), 72, 52]-NRT-code) [i]
34Linear OOA(2240, 84, F2, 4, 90) (dual of [(84, 4), 96, 91]-NRT-code) [i]
35Linear OOA(2234, 81, F2, 4, 90) (dual of [(81, 4), 90, 91]-NRT-code) [i]
36Linear OOA(2228, 78, F2, 4, 90) (dual of [(78, 4), 84, 91]-NRT-code) [i]
37Linear OOA(2222, 75, F2, 4, 90) (dual of [(75, 4), 78, 91]-NRT-code) [i]
38Linear OOA(2216, 72, F2, 4, 90) (dual of [(72, 4), 72, 91]-NRT-code) [i]
39Linear OOA(2210, 69, F2, 4, 90) (dual of [(69, 4), 66, 91]-NRT-code) [i]
40Linear OOA(2204, 66, F2, 4, 90) (dual of [(66, 4), 60, 91]-NRT-code) [i]
41Linear OOA(2198, 63, F2, 4, 90) (dual of [(63, 4), 54, 91]-NRT-code) [i]
42Linear OOA(2192, 60, F2, 4, 90) (dual of [(60, 4), 48, 91]-NRT-code) [i]
43Linear OOA(2186, 57, F2, 4, 90) (dual of [(57, 4), 42, 91]-NRT-code) [i]
44Linear OA(6491, 201, F64, 72) (dual of [201, 110, 73]-code) [i]Construction X with Algebraic-Geometric Codes
45Linear OA(6490, 201, F64, 71) (dual of [201, 111, 72]-code) [i]
46Linear OA(6489, 201, F64, 70) (dual of [201, 112, 71]-code) [i]
47Linear OA(6488, 201, F64, 69) (dual of [201, 113, 70]-code) [i]
48Linear OA(6487, 201, F64, 68) (dual of [201, 114, 69]-code) [i]
49Linear OA(6486, 201, F64, 67) (dual of [201, 115, 68]-code) [i]
50Linear OA(6485, 201, F64, 66) (dual of [201, 116, 67]-code) [i]
51Linear OA(6484, 201, F64, 65) (dual of [201, 117, 66]-code) [i]
52Linear OA(6483, 201, F64, 64) (dual of [201, 118, 65]-code) [i]
53Linear OA(6482, 201, F64, 63) (dual of [201, 119, 64]-code) [i]
54Linear OA(6481, 201, F64, 62) (dual of [201, 120, 63]-code) [i]
55Linear OA(6480, 201, F64, 61) (dual of [201, 121, 62]-code) [i]
56Linear OA(6479, 201, F64, 60) (dual of [201, 122, 61]-code) [i]
57Linear OA(6478, 201, F64, 59) (dual of [201, 123, 60]-code) [i]
58Linear OA(6477, 201, F64, 58) (dual of [201, 124, 59]-code) [i]
59Linear OA(6476, 201, F64, 57) (dual of [201, 125, 58]-code) [i]
60Linear OA(6475, 201, F64, 56) (dual of [201, 126, 57]-code) [i]
61Linear OA(6474, 201, F64, 55) (dual of [201, 127, 56]-code) [i]
62Linear OA(6473, 201, F64, 54) (dual of [201, 128, 55]-code) [i]
63Linear OA(6472, 201, F64, 53) (dual of [201, 129, 54]-code) [i]
64Linear OA(6471, 201, F64, 52) (dual of [201, 130, 53]-code) [i]
65Linear OA(6470, 201, F64, 51) (dual of [201, 131, 52]-code) [i]
66Linear OA(6469, 201, F64, 50) (dual of [201, 132, 51]-code) [i]
67Linear OA(6468, 201, F64, 49) (dual of [201, 133, 50]-code) [i]
68Linear OA(6467, 201, F64, 48) (dual of [201, 134, 49]-code) [i]
69Linear OA(6466, 201, F64, 47) (dual of [201, 135, 48]-code) [i]
70Linear OA(6465, 201, F64, 46) (dual of [201, 136, 47]-code) [i]
71Linear OA(6464, 201, F64, 45) (dual of [201, 137, 46]-code) [i]
72Linear OA(6463, 201, F64, 44) (dual of [201, 138, 45]-code) [i]
73Linear OA(6462, 201, F64, 43) (dual of [201, 139, 44]-code) [i]
74Linear OA(6461, 201, F64, 42) (dual of [201, 140, 43]-code) [i]
75Linear OA(6460, 201, F64, 41) (dual of [201, 141, 42]-code) [i]
76Linear OA(6459, 201, F64, 40) (dual of [201, 142, 41]-code) [i]
77Linear OA(6458, 201, F64, 39) (dual of [201, 143, 40]-code) [i]
78Linear OA(6457, 201, F64, 38) (dual of [201, 144, 39]-code) [i]
79Linear OA(6456, 201, F64, 37) (dual of [201, 145, 38]-code) [i]
80Linear OA(6455, 201, F64, 36) (dual of [201, 146, 37]-code) [i]
81Linear OA(6454, 201, F64, 35) (dual of [201, 147, 36]-code) [i]
82Linear OA(6453, 201, F64, 34) (dual of [201, 148, 35]-code) [i]
83Linear OA(6452, 201, F64, 33) (dual of [201, 149, 34]-code) [i]
84Linear OA(6451, 201, F64, 32) (dual of [201, 150, 33]-code) [i]
85Linear OA(6450, 201, F64, 31) (dual of [201, 151, 32]-code) [i]
86Linear OA(6449, 201, F64, 30) (dual of [201, 152, 31]-code) [i]
87Linear OA(6448, 201, F64, 29) (dual of [201, 153, 30]-code) [i]
88Linear OA(6447, 201, F64, 28) (dual of [201, 154, 29]-code) [i]
89Linear OA(6446, 201, F64, 27) (dual of [201, 155, 28]-code) [i]
90Linear OA(6445, 201, F64, 26) (dual of [201, 156, 27]-code) [i]
91Linear OA(6444, 201, F64, 25) (dual of [201, 157, 26]-code) [i]
92Linear OA(6491, 537, F64, 51) (dual of [537, 446, 52]-code) [i]
93Linear OA(6490, 537, F64, 50) (dual of [537, 447, 51]-code) [i]
94Linear OA(6489, 537, F64, 49) (dual of [537, 448, 50]-code) [i]
95Linear OA(6488, 537, F64, 48) (dual of [537, 449, 49]-code) [i]
96Linear OA(6487, 537, F64, 47) (dual of [537, 450, 48]-code) [i]
97Linear OA(6491, 262195, F64, 27) (dual of [262195, 262104, 28]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
98Linear OA(6488, 262195, F64, 26) (dual of [262195, 262107, 27]-code) [i]
99Linear OA(6491, 4134, F64, 40) (dual of [4134, 4043, 41]-code) [i]
100Linear OA(6489, 4134, F64, 39) (dual of [4134, 4045, 40]-code) [i]
101Linear OA(6487, 4134, F64, 38) (dual of [4134, 4047, 39]-code) [i]
102Linear OA(6485, 4134, F64, 37) (dual of [4134, 4049, 38]-code) [i]
103Linear OA(6483, 4134, F64, 36) (dual of [4134, 4051, 37]-code) [i]
104Linear OA(6481, 4134, F64, 35) (dual of [4134, 4053, 36]-code) [i]
105Linear OA(6479, 4134, F64, 34) (dual of [4134, 4055, 35]-code) [i]
106Linear OA(6477, 4134, F64, 33) (dual of [4134, 4057, 34]-code) [i]
107Linear OA(6475, 4134, F64, 32) (dual of [4134, 4059, 33]-code) [i]
108Linear OA(6473, 4134, F64, 31) (dual of [4134, 4061, 32]-code) [i]
109Linear OA(6471, 4134, F64, 30) (dual of [4134, 4063, 31]-code) [i]
110Linear OA(6469, 4134, F64, 29) (dual of [4134, 4065, 30]-code) [i]
111Linear OA(6467, 4134, F64, 28) (dual of [4134, 4067, 29]-code) [i]
112Linear OA(6465, 4134, F64, 27) (dual of [4134, 4069, 28]-code) [i]
113Linear OA(6463, 4134, F64, 26) (dual of [4134, 4071, 27]-code) [i]