Information on Result #606532

Linear OA(6430, 64, F64, 30) (dual of [64, 34, 31]-code or 64-arc in PG(29,64)), using Reed–Solomon code RS(34,64)

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(2244, 448, F2, 61) (dual of [448, 204, 62]-code) [i]Concatenation of Two Codes
2Linear OA(2243, 441, F2, 61) (dual of [441, 198, 62]-code) [i]
3Linear OA(2242, 434, F2, 61) (dual of [434, 192, 62]-code) [i]
4Linear OA(2241, 427, F2, 61) (dual of [427, 186, 62]-code) [i]
5Linear OA(2240, 420, F2, 61) (dual of [420, 180, 62]-code) [i]
6Linear OA(2239, 413, F2, 61) (dual of [413, 174, 62]-code) [i]
7Linear OA(2238, 406, F2, 61) (dual of [406, 168, 62]-code) [i]
8Linear OA(2237, 399, F2, 61) (dual of [399, 162, 62]-code) [i]
9Linear OA(2236, 392, F2, 61) (dual of [392, 156, 62]-code) [i]
10Linear OA(4154, 256, F4, 61) (dual of [256, 102, 62]-code) [i]
11Linear OA(4153, 252, F4, 61) (dual of [252, 99, 62]-code) [i]
12Linear OA(4152, 248, F4, 61) (dual of [248, 96, 62]-code) [i]
13Linear OA(4151, 244, F4, 61) (dual of [244, 93, 62]-code) [i]
14Linear OA(4150, 240, F4, 61) (dual of [240, 90, 62]-code) [i]
15Linear OA(4149, 236, F4, 61) (dual of [236, 87, 62]-code) [i]
16Linear OA(4148, 232, F4, 61) (dual of [232, 84, 62]-code) [i]
17Linear OA(4147, 228, F4, 61) (dual of [228, 81, 62]-code) [i]
18Linear OA(4146, 224, F4, 61) (dual of [224, 78, 62]-code) [i]
19Linear OA(4145, 220, F4, 61) (dual of [220, 75, 62]-code) [i]
20Linear OA(4144, 216, F4, 61) (dual of [216, 72, 62]-code) [i]
21Linear OA(4143, 212, F4, 61) (dual of [212, 69, 62]-code) [i]
22Linear OA(4142, 208, F4, 61) (dual of [208, 66, 62]-code) [i]
23Linear OA(4141, 204, F4, 61) (dual of [204, 63, 62]-code) [i]
24Linear OA(4140, 200, F4, 61) (dual of [200, 60, 62]-code) [i]
25Linear OA(4218, 320, F4, 92) (dual of [320, 102, 93]-code) [i]
26Linear OA(4216, 315, F4, 92) (dual of [315, 99, 93]-code) [i]
27Linear OA(4214, 310, F4, 92) (dual of [310, 96, 93]-code) [i]
28Linear OA(4212, 305, F4, 92) (dual of [305, 93, 93]-code) [i]
29Linear OA(4210, 300, F4, 92) (dual of [300, 90, 93]-code) [i]
30Linear OA(4208, 295, F4, 92) (dual of [295, 87, 93]-code) [i]
31Linear OA(4206, 290, F4, 92) (dual of [290, 84, 93]-code) [i]
32Linear OA(4204, 285, F4, 92) (dual of [285, 81, 93]-code) [i]
33Linear OA(4202, 280, F4, 92) (dual of [280, 78, 93]-code) [i]
34Linear OA(4200, 275, F4, 92) (dual of [275, 75, 93]-code) [i]
35Linear OA(4198, 270, F4, 92) (dual of [270, 72, 93]-code) [i]
36Linear OA(4196, 265, F4, 92) (dual of [265, 69, 93]-code) [i]
37Linear OA(4194, 260, F4, 92) (dual of [260, 66, 93]-code) [i]
38Linear OA(4188, 245, F4, 92) (dual of [245, 57, 93]-code) [i]
39Linear OA(4186, 240, F4, 92) (dual of [240, 54, 93]-code) [i]
40Linear OA(4184, 235, F4, 92) (dual of [235, 51, 93]-code) [i]
41Linear OA(4182, 230, F4, 92) (dual of [230, 48, 93]-code) [i]
42Linear OA(4180, 225, F4, 92) (dual of [225, 45, 93]-code) [i]
43Linear OA(4178, 220, F4, 92) (dual of [220, 42, 93]-code) [i]
44Linear OA(4176, 215, F4, 92) (dual of [215, 39, 93]-code) [i]
45Linear OA(4174, 210, F4, 92) (dual of [210, 36, 93]-code) [i]
46Linear OA(4172, 205, F4, 92) (dual of [205, 33, 93]-code) [i]
47Linear OA(4170, 200, F4, 92) (dual of [200, 30, 93]-code) [i]
48Linear OA(4258, 336, F4, 123) (dual of [336, 78, 124]-code) [i]
49Linear OA(4255, 330, F4, 123) (dual of [330, 75, 124]-code) [i]
50Linear OA(4246, 312, F4, 123) (dual of [312, 66, 124]-code) [i]
51Linear OA(4243, 306, F4, 123) (dual of [306, 63, 124]-code) [i]
52Linear OA(4240, 300, F4, 123) (dual of [300, 60, 124]-code) [i]
53Linear OA(4237, 294, F4, 123) (dual of [294, 57, 124]-code) [i]
54Linear OA(4234, 288, F4, 123) (dual of [288, 54, 124]-code) [i]
55Linear OA(4231, 282, F4, 123) (dual of [282, 51, 124]-code) [i]
56Linear OA(4228, 276, F4, 123) (dual of [276, 48, 124]-code) [i]
57Linear OA(4225, 270, F4, 123) (dual of [270, 45, 124]-code) [i]
58Linear OA(4222, 264, F4, 123) (dual of [264, 42, 124]-code) [i]
59Linear OA(4219, 258, F4, 123) (dual of [258, 39, 124]-code) [i]
60Linear OA(4216, 252, F4, 123) (dual of [252, 36, 124]-code) [i]
61Linear OA(4213, 246, F4, 123) (dual of [246, 33, 124]-code) [i]
62Linear OA(4210, 240, F4, 123) (dual of [240, 30, 124]-code) [i]
63Linear OA(4207, 234, F4, 123) (dual of [234, 27, 124]-code) [i]
64Linear OA(4204, 228, F4, 123) (dual of [228, 24, 124]-code) [i]
65Linear OA(4201, 222, F4, 123) (dual of [222, 21, 124]-code) [i]
66Linear OA(8124, 192, F8, 61) (dual of [192, 68, 62]-code) [i]
67Linear OA(8123, 189, F8, 61) (dual of [189, 66, 62]-code) [i]
68Linear OA(8122, 186, F8, 61) (dual of [186, 64, 62]-code) [i]
69Linear OA(8121, 183, F8, 61) (dual of [183, 62, 62]-code) [i]
70Linear OA(8120, 180, F8, 61) (dual of [180, 60, 62]-code) [i]
71Linear OA(8119, 177, F8, 61) (dual of [177, 58, 62]-code) [i]
72Linear OA(8118, 174, F8, 61) (dual of [174, 56, 62]-code) [i]
73Linear OA(8117, 171, F8, 61) (dual of [171, 54, 62]-code) [i]
74Linear OA(8116, 168, F8, 61) (dual of [168, 52, 62]-code) [i]
75Linear OA(8115, 165, F8, 61) (dual of [165, 50, 62]-code) [i]
76Linear OA(8114, 162, F8, 61) (dual of [162, 48, 62]-code) [i]
77Linear OA(8113, 159, F8, 61) (dual of [159, 46, 62]-code) [i]
78Linear OA(8112, 156, F8, 61) (dual of [156, 44, 62]-code) [i]
79Linear OA(8111, 153, F8, 61) (dual of [153, 42, 62]-code) [i]
80Linear OA(8110, 150, F8, 61) (dual of [150, 40, 62]-code) [i]
81Linear OA(8109, 147, F8, 61) (dual of [147, 38, 62]-code) [i]
82Linear OA(8108, 144, F8, 61) (dual of [144, 36, 62]-code) [i]
83Linear OA(8107, 141, F8, 61) (dual of [141, 34, 62]-code) [i]
84Linear OA(8106, 138, F8, 61) (dual of [138, 32, 62]-code) [i]
85Linear OA(8105, 135, F8, 61) (dual of [135, 30, 62]-code) [i]
86Linear OA(8104, 132, F8, 61) (dual of [132, 28, 62]-code) [i]
87Linear OA(8103, 129, F8, 61) (dual of [129, 26, 62]-code) [i]
88Linear OA(8102, 126, F8, 61) (dual of [126, 24, 62]-code) [i]
89Linear OA(8101, 123, F8, 61) (dual of [123, 22, 62]-code) [i]
90Linear OA(8100, 120, F8, 61) (dual of [120, 20, 62]-code) [i]
91Linear OA(899, 117, F8, 61) (dual of [117, 18, 62]-code) [i]
92Linear OA(898, 114, F8, 61) (dual of [114, 16, 62]-code) [i]
93Linear OA(897, 111, F8, 61) (dual of [111, 14, 62]-code) [i]
94Linear OA(8152, 184, F8, 92) (dual of [184, 32, 93]-code) [i]
95Linear OA(8150, 180, F8, 92) (dual of [180, 30, 93]-code) [i]
96Linear OA(8148, 176, F8, 92) (dual of [176, 28, 93]-code) [i]
97Linear OA(8146, 172, F8, 92) (dual of [172, 26, 93]-code) [i]
98Linear OA(8144, 168, F8, 92) (dual of [168, 24, 93]-code) [i]
99Linear OA(8142, 164, F8, 92) (dual of [164, 22, 93]-code) [i]
100Linear OA(8140, 160, F8, 92) (dual of [160, 20, 93]-code) [i]
101Linear OA(8138, 156, F8, 92) (dual of [156, 18, 93]-code) [i]
102Linear OA(8136, 152, F8, 92) (dual of [152, 16, 93]-code) [i]
103Linear OA(8134, 148, F8, 92) (dual of [148, 14, 93]-code) [i]
104Linear OA(8132, 144, F8, 92) (dual of [144, 12, 93]-code) [i]
105Linear OA(8130, 140, F8, 92) (dual of [140, 10, 93]-code) [i]
106Linear OA(8171, 185, F8, 123) (dual of [185, 14, 124]-code) [i]
107Linear OA(8168, 180, F8, 123) (dual of [180, 12, 124]-code) [i]
108Linear OA(8165, 175, F8, 123) (dual of [175, 10, 124]-code) [i]
109Linear OA(8162, 170, F8, 123) (dual of [170, 8, 124]-code) [i]
110Linear OOA(4260, 136, F4, 2, 185) (dual of [(136, 2), 12, 186]-NRT-code) [i]Concatenation of Two NRT-Codes