Information on Result #606534

Linear OA(6432, 64, F64, 32) (dual of [64, 32, 33]-code or 64-arc in PG(31,64)), using Reed–Solomon code RS(32,64)

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(2256, 448, F2, 65) (dual of [448, 192, 66]-code) [i]Concatenation of Two Codes
2Linear OA(2255, 441, F2, 65) (dual of [441, 186, 66]-code) [i]
3Linear OA(2254, 434, F2, 65) (dual of [434, 180, 66]-code) [i]
4Linear OA(2253, 427, F2, 65) (dual of [427, 174, 66]-code) [i]
5Linear OA(2252, 420, F2, 65) (dual of [420, 168, 66]-code) [i]
6Linear OA(2251, 413, F2, 65) (dual of [413, 162, 66]-code) [i]
7Linear OA(2250, 406, F2, 65) (dual of [406, 156, 66]-code) [i]
8Linear OA(2249, 399, F2, 65) (dual of [399, 150, 66]-code) [i]
9Linear OA(4160, 256, F4, 65) (dual of [256, 96, 66]-code) [i]
10Linear OA(4159, 252, F4, 65) (dual of [252, 93, 66]-code) [i]
11Linear OA(4158, 248, F4, 65) (dual of [248, 90, 66]-code) [i]
12Linear OA(4157, 244, F4, 65) (dual of [244, 87, 66]-code) [i]
13Linear OA(4156, 240, F4, 65) (dual of [240, 84, 66]-code) [i]
14Linear OA(4154, 232, F4, 65) (dual of [232, 78, 66]-code) [i]
15Linear OA(4153, 228, F4, 65) (dual of [228, 75, 66]-code) [i]
16Linear OA(4152, 224, F4, 65) (dual of [224, 72, 66]-code) [i]
17Linear OA(4151, 220, F4, 65) (dual of [220, 69, 66]-code) [i]
18Linear OA(4150, 216, F4, 65) (dual of [216, 66, 66]-code) [i]
19Linear OA(4149, 212, F4, 65) (dual of [212, 63, 66]-code) [i]
20Linear OA(4148, 208, F4, 65) (dual of [208, 60, 66]-code) [i]
21Linear OA(4147, 204, F4, 65) (dual of [204, 57, 66]-code) [i]
22Linear OA(4224, 320, F4, 98) (dual of [320, 96, 99]-code) [i]
23Linear OA(4222, 315, F4, 98) (dual of [315, 93, 99]-code) [i]
24Linear OA(4220, 310, F4, 98) (dual of [310, 90, 99]-code) [i]
25Linear OA(4218, 305, F4, 98) (dual of [305, 87, 99]-code) [i]
26Linear OA(4216, 300, F4, 98) (dual of [300, 84, 99]-code) [i]
27Linear OA(4214, 295, F4, 98) (dual of [295, 81, 99]-code) [i]
28Linear OA(4212, 290, F4, 98) (dual of [290, 78, 99]-code) [i]
29Linear OA(4210, 285, F4, 98) (dual of [285, 75, 99]-code) [i]
30Linear OA(4208, 280, F4, 98) (dual of [280, 72, 99]-code) [i]
31Linear OA(4206, 275, F4, 98) (dual of [275, 69, 99]-code) [i]
32Linear OA(4204, 270, F4, 98) (dual of [270, 66, 99]-code) [i]
33Linear OA(4202, 265, F4, 98) (dual of [265, 63, 99]-code) [i]
34Linear OA(4200, 260, F4, 98) (dual of [260, 60, 99]-code) [i]
35Linear OA(4198, 255, F4, 98) (dual of [255, 57, 99]-code) [i]
36Linear OA(4194, 245, F4, 98) (dual of [245, 51, 99]-code) [i]
37Linear OA(4192, 240, F4, 98) (dual of [240, 48, 99]-code) [i]
38Linear OA(4190, 235, F4, 98) (dual of [235, 45, 99]-code) [i]
39Linear OA(4188, 230, F4, 98) (dual of [230, 42, 99]-code) [i]
40Linear OA(4186, 225, F4, 98) (dual of [225, 39, 99]-code) [i]
41Linear OA(4184, 220, F4, 98) (dual of [220, 36, 99]-code) [i]
42Linear OA(4182, 215, F4, 98) (dual of [215, 33, 99]-code) [i]
43Linear OA(4180, 210, F4, 98) (dual of [210, 30, 99]-code) [i]
44Linear OA(4178, 205, F4, 98) (dual of [205, 27, 99]-code) [i]
45Linear OA(4258, 324, F4, 131) (dual of [324, 66, 132]-code) [i]
46Linear OA(4255, 318, F4, 131) (dual of [318, 63, 132]-code) [i]
47Linear OA(4252, 312, F4, 131) (dual of [312, 60, 132]-code) [i]
48Linear OA(4249, 306, F4, 131) (dual of [306, 57, 132]-code) [i]
49Linear OA(4246, 300, F4, 131) (dual of [300, 54, 132]-code) [i]
50Linear OA(4243, 294, F4, 131) (dual of [294, 51, 132]-code) [i]
51Linear OA(4240, 288, F4, 131) (dual of [288, 48, 132]-code) [i]
52Linear OA(4237, 282, F4, 131) (dual of [282, 45, 132]-code) [i]
53Linear OA(4234, 276, F4, 131) (dual of [276, 42, 132]-code) [i]
54Linear OA(4231, 270, F4, 131) (dual of [270, 39, 132]-code) [i]
55Linear OA(4228, 264, F4, 131) (dual of [264, 36, 132]-code) [i]
56Linear OA(4225, 258, F4, 131) (dual of [258, 33, 132]-code) [i]
57Linear OA(4222, 252, F4, 131) (dual of [252, 30, 132]-code) [i]
58Linear OA(4219, 246, F4, 131) (dual of [246, 27, 132]-code) [i]
59Linear OA(4216, 240, F4, 131) (dual of [240, 24, 132]-code) [i]
60Linear OA(4213, 234, F4, 131) (dual of [234, 21, 132]-code) [i]
61Linear OA(8128, 192, F8, 65) (dual of [192, 64, 66]-code) [i]
62Linear OA(8127, 189, F8, 65) (dual of [189, 62, 66]-code) [i]
63Linear OA(8126, 186, F8, 65) (dual of [186, 60, 66]-code) [i]
64Linear OA(8125, 183, F8, 65) (dual of [183, 58, 66]-code) [i]
65Linear OA(8124, 180, F8, 65) (dual of [180, 56, 66]-code) [i]
66Linear OA(8123, 177, F8, 65) (dual of [177, 54, 66]-code) [i]
67Linear OA(8122, 174, F8, 65) (dual of [174, 52, 66]-code) [i]
68Linear OA(8121, 171, F8, 65) (dual of [171, 50, 66]-code) [i]
69Linear OA(8120, 168, F8, 65) (dual of [168, 48, 66]-code) [i]
70Linear OA(8119, 165, F8, 65) (dual of [165, 46, 66]-code) [i]
71Linear OA(8118, 162, F8, 65) (dual of [162, 44, 66]-code) [i]
72Linear OA(8117, 159, F8, 65) (dual of [159, 42, 66]-code) [i]
73Linear OA(8116, 156, F8, 65) (dual of [156, 40, 66]-code) [i]
74Linear OA(8115, 153, F8, 65) (dual of [153, 38, 66]-code) [i]
75Linear OA(8114, 150, F8, 65) (dual of [150, 36, 66]-code) [i]
76Linear OA(8113, 147, F8, 65) (dual of [147, 34, 66]-code) [i]
77Linear OA(8112, 144, F8, 65) (dual of [144, 32, 66]-code) [i]
78Linear OA(8111, 141, F8, 65) (dual of [141, 30, 66]-code) [i]
79Linear OA(8110, 138, F8, 65) (dual of [138, 28, 66]-code) [i]
80Linear OA(8109, 135, F8, 65) (dual of [135, 26, 66]-code) [i]
81Linear OA(8108, 132, F8, 65) (dual of [132, 24, 66]-code) [i]
82Linear OA(8107, 129, F8, 65) (dual of [129, 22, 66]-code) [i]
83Linear OA(8106, 126, F8, 65) (dual of [126, 20, 66]-code) [i]
84Linear OA(8105, 123, F8, 65) (dual of [123, 18, 66]-code) [i]
85Linear OA(8168, 208, F8, 98) (dual of [208, 40, 99]-code) [i]
86Linear OA(8166, 204, F8, 98) (dual of [204, 38, 99]-code) [i]
87Linear OA(8164, 200, F8, 98) (dual of [200, 36, 99]-code) [i]
88Linear OA(8162, 196, F8, 98) (dual of [196, 34, 99]-code) [i]
89Linear OA(8160, 192, F8, 98) (dual of [192, 32, 99]-code) [i]
90Linear OA(8158, 188, F8, 98) (dual of [188, 30, 99]-code) [i]
91Linear OA(8156, 184, F8, 98) (dual of [184, 28, 99]-code) [i]
92Linear OA(8154, 180, F8, 98) (dual of [180, 26, 99]-code) [i]
93Linear OA(8152, 176, F8, 98) (dual of [176, 24, 99]-code) [i]
94Linear OA(8150, 172, F8, 98) (dual of [172, 22, 99]-code) [i]
95Linear OA(8148, 168, F8, 98) (dual of [168, 20, 99]-code) [i]
96Linear OA(8146, 164, F8, 98) (dual of [164, 18, 99]-code) [i]
97Linear OA(8144, 160, F8, 98) (dual of [160, 16, 99]-code) [i]
98Linear OA(8142, 156, F8, 98) (dual of [156, 14, 99]-code) [i]
99Linear OA(8140, 152, F8, 98) (dual of [152, 12, 99]-code) [i]
100Linear OA(8138, 148, F8, 98) (dual of [148, 10, 99]-code) [i]
101Linear OA(8136, 144, F8, 98) (dual of [144, 8, 99]-code) [i]
102Linear OA(8172, 180, F8, 131) (dual of [180, 8, 132]-code) [i]
103Linear OA(8169, 175, F8, 131) (dual of [175, 6, 132]-code) [i]