Usage of Method: Construction X with Cyclic Codes
Appears in the following modes: “Constructive and linear” (8936 times), “Linear” (75 times).
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Incarnation | Mode | ||
---|---|---|---|
1 | Linear OA(213, 36, F2, 5) (dual of [36, 23, 6]-code) | Constructive and linear | [i] |
2 | Linear OA(213, 66, F2, 5) (dual of [66, 53, 6]-code) | Constructive and linear | [i] |
3 | Linear OA(217, 132, F2, 5) (dual of [132, 115, 6]-code) | Constructive and linear | [i] |
4 | Linear OA(217, 258, F2, 5) (dual of [258, 241, 6]-code) | Constructive and linear | [i] |
5 | Linear OA(221, 516, F2, 5) (dual of [516, 495, 6]-code) | Constructive and linear | [i] |
6 | Linear OA(221, 1026, F2, 5) (dual of [1026, 1005, 6]-code) | Constructive and linear | [i] |
7 | Linear OA(225, 2052, F2, 5) (dual of [2052, 2027, 6]-code) | Constructive and linear | [i] |
8 | Linear OA(225, 4098, F2, 5) (dual of [4098, 4073, 6]-code) | Constructive and linear | [i] |
9 | Linear OA(229, 8196, F2, 5) (dual of [8196, 8167, 6]-code) | Constructive and linear | [i] |
10 | Linear OA(229, 16386, F2, 5) (dual of [16386, 16357, 6]-code) | Constructive and linear | [i] |
11 | Linear OA(233, 32772, F2, 5) (dual of [32772, 32739, 6]-code) | Constructive and linear | [i] |
12 | Linear OA(233, 65538, F2, 5) (dual of [65538, 65505, 6]-code) | Constructive and linear | [i] |
13 | Linear OA(237, 131076, F2, 5) (dual of [131076, 131039, 6]-code) | Constructive and linear | [i] |
14 | Linear OA(237, 262146, F2, 5) (dual of [262146, 262109, 6]-code) | Constructive and linear | [i] |
15 | Linear OA(241, 524292, F2, 5) (dual of [524292, 524251, 6]-code) | Constructive and linear | [i] |
16 | Linear OA(241, 1048578, F2, 5) (dual of [1048578, 1048537, 6]-code) | Constructive and linear | [i] |
17 | Linear OA(245, 2097156, F2, 5) (dual of [2097156, 2097111, 6]-code) | Constructive and linear | [i] |
18 | Linear OA(245, 4194306, F2, 5) (dual of [4194306, 4194261, 6]-code) | Constructive and linear | [i] |
19 | Linear OA(218, 24, F2, 9) (dual of [24, 6, 10]-code) | Constructive and linear | [i] |
20 | Linear OA(229, 70, F2, 9) (dual of [70, 41, 10]-code) | Constructive and linear | [i] |
21 | Linear OA(231, 132, F2, 9) (dual of [132, 101, 10]-code) | Constructive and linear | [i] |
22 | Linear OA(235, 260, F2, 9) (dual of [260, 225, 10]-code) | Constructive and linear | [i] |
23 | Linear OA(239, 516, F2, 9) (dual of [516, 477, 10]-code) | Constructive and linear | [i] |
24 | Linear OA(245, 1030, F2, 9) (dual of [1030, 985, 10]-code) | Constructive and linear | [i] |
25 | Linear OA(249, 2054, F2, 9) (dual of [2054, 2005, 10]-code) | Constructive and linear | [i] |
26 | Linear OA(253, 4102, F2, 9) (dual of [4102, 4049, 10]-code) | Constructive and linear | [i] |
27 | Linear OA(257, 8198, F2, 9) (dual of [8198, 8141, 10]-code) | Constructive and linear | [i] |
28 | Linear OA(261, 16390, F2, 9) (dual of [16390, 16329, 10]-code) | Constructive and linear | [i] |
29 | Linear OA(265, 32774, F2, 9) (dual of [32774, 32709, 10]-code) | Constructive and linear | [i] |
30 | Linear OA(269, 65542, F2, 9) (dual of [65542, 65473, 10]-code) | Constructive and linear | [i] |
31 | Linear OA(273, 131078, F2, 9) (dual of [131078, 131005, 10]-code) | Constructive and linear | [i] |
32 | Linear OA(277, 262150, F2, 9) (dual of [262150, 262073, 10]-code) | Constructive and linear | [i] |
33 | Linear OA(281, 524294, F2, 9) (dual of [524294, 524213, 10]-code) | Constructive and linear | [i] |
34 | Linear OA(285, 1048582, F2, 9) (dual of [1048582, 1048497, 10]-code) | Constructive and linear | [i] |
35 | Linear OA(289, 2097158, F2, 9) (dual of [2097158, 2097069, 10]-code) | Constructive and linear | [i] |
36 | Linear OA(293, 4194310, F2, 9) (dual of [4194310, 4194217, 10]-code) | Constructive and linear | [i] |
37 | Linear OA(232, 47, F2, 13) (dual of [47, 15, 14]-code) | Constructive and linear | [i] |
38 | Linear OA(247, 134, F2, 13) (dual of [134, 87, 14]-code) | Constructive and linear | [i] |
39 | Linear OA(253, 262, F2, 13) (dual of [262, 209, 14]-code) | Constructive and linear | [i] |
40 | Linear OA(259, 518, F2, 13) (dual of [518, 459, 14]-code) | Constructive and linear | [i] |
41 | Linear OA(265, 1030, F2, 13) (dual of [1030, 965, 14]-code) | Constructive and linear | [i] |
42 | Linear OA(273, 2056, F2, 13) (dual of [2056, 1983, 14]-code) | Constructive and linear | [i] |
43 | Linear OA(279, 4104, F2, 13) (dual of [4104, 4025, 14]-code) | Constructive and linear | [i] |
44 | Linear OA(285, 8200, F2, 13) (dual of [8200, 8115, 14]-code) | Constructive and linear | [i] |
45 | Linear OA(291, 16392, F2, 13) (dual of [16392, 16301, 14]-code) | Constructive and linear | [i] |
46 | Linear OA(297, 32776, F2, 13) (dual of [32776, 32679, 14]-code) | Constructive and linear | [i] |
47 | Linear OA(2103, 65544, F2, 13) (dual of [65544, 65441, 14]-code) | Constructive and linear | [i] |
48 | Linear OA(2109, 131080, F2, 13) (dual of [131080, 130971, 14]-code) | Constructive and linear | [i] |
49 | Linear OA(2115, 262152, F2, 13) (dual of [262152, 262037, 14]-code) | Constructive and linear | [i] |
50 | Linear OA(2121, 524296, F2, 13) (dual of [524296, 524175, 14]-code) | Constructive and linear | [i] |
51 | Linear OA(2127, 1048584, F2, 13) (dual of [1048584, 1048457, 14]-code) | Constructive and linear | [i] |
52 | Linear OA(2133, 2097160, F2, 13) (dual of [2097160, 2097027, 14]-code) | Constructive and linear | [i] |
53 | Linear OA(2139, 4194312, F2, 13) (dual of [4194312, 4194173, 14]-code) | Constructive and linear | [i] |
54 | Linear OA(241, 48, F2, 17) (dual of [48, 7, 18]-code) | Constructive and linear | [i] |
55 | Linear OA(263, 136, F2, 17) (dual of [136, 73, 18]-code) | Constructive and linear | [i] |
56 | Linear OA(271, 264, F2, 17) (dual of [264, 193, 18]-code) | Constructive and linear | [i] |
57 | Linear OA(281, 522, F2, 17) (dual of [522, 441, 18]-code) | Constructive and linear | [i] |
58 | Linear OA(287, 1032, F2, 17) (dual of [1032, 945, 18]-code) | Constructive and linear | [i] |
59 | Linear OA(297, 2058, F2, 17) (dual of [2058, 1961, 18]-code) | Constructive and linear | [i] |
60 | Linear OA(2105, 4106, F2, 17) (dual of [4106, 4001, 18]-code) | Constructive and linear | [i] |
61 | Linear OA(2113, 8202, F2, 17) (dual of [8202, 8089, 18]-code) | Constructive and linear | [i] |
62 | Linear OA(2121, 16394, F2, 17) (dual of [16394, 16273, 18]-code) | Constructive and linear | [i] |
63 | Linear OA(2129, 32778, F2, 17) (dual of [32778, 32649, 18]-code) | Constructive and linear | [i] |
64 | Linear OA(2137, 65546, F2, 17) (dual of [65546, 65409, 18]-code) | Constructive and linear | [i] |
65 | Linear OA(2145, 131082, F2, 17) (dual of [131082, 130937, 18]-code) | Constructive and linear | [i] |
66 | Linear OA(2153, 262154, F2, 17) (dual of [262154, 262001, 18]-code) | Constructive and linear | [i] |
67 | Linear OA(2161, 524298, F2, 17) (dual of [524298, 524137, 18]-code) | Constructive and linear | [i] |
68 | Linear OA(2169, 1048586, F2, 17) (dual of [1048586, 1048417, 18]-code) | Constructive and linear | [i] |
69 | Linear OA(2177, 2097162, F2, 17) (dual of [2097162, 2096985, 18]-code) | Constructive and linear | [i] |
70 | Linear OA(2185, 4194314, F2, 17) (dual of [4194314, 4194129, 18]-code) | Constructive and linear | [i] |
71 | Linear OA(299, 522, F2, 21) (dual of [522, 423, 22]-code) | Constructive and linear | [i] |
72 | Linear OA(2109, 1034, F2, 21) (dual of [1034, 925, 22]-code) | Constructive and linear | [i] |
73 | Linear OA(2121, 2060, F2, 21) (dual of [2060, 1939, 22]-code) | Constructive and linear | [i] |
74 | Linear OA(2131, 4108, F2, 21) (dual of [4108, 3977, 22]-code) | Constructive and linear | [i] |
75 | Linear OA(2141, 8204, F2, 21) (dual of [8204, 8063, 22]-code) | Constructive and linear | [i] |
76 | Linear OA(2151, 16396, F2, 21) (dual of [16396, 16245, 22]-code) | Constructive and linear | [i] |
77 | Linear OA(2161, 32780, F2, 21) (dual of [32780, 32619, 22]-code) | Constructive and linear | [i] |
78 | Linear OA(2171, 65548, F2, 21) (dual of [65548, 65377, 22]-code) | Constructive and linear | [i] |
79 | Linear OA(2181, 131084, F2, 21) (dual of [131084, 130903, 22]-code) | Constructive and linear | [i] |
80 | Linear OA(2191, 262156, F2, 21) (dual of [262156, 261965, 22]-code) | Constructive and linear | [i] |
81 | Linear OA(2201, 524300, F2, 21) (dual of [524300, 524099, 22]-code) | Constructive and linear | [i] |
82 | Linear OA(2211, 1048588, F2, 21) (dual of [1048588, 1048377, 22]-code) | Constructive and linear | [i] |
83 | Linear OA(2221, 2097164, F2, 21) (dual of [2097164, 2096943, 22]-code) | Constructive and linear | [i] |
84 | Linear OA(2231, 4194316, F2, 21) (dual of [4194316, 4194085, 22]-code) | Constructive and linear | [i] |
85 | Linear OA(291, 136, F2, 25) (dual of [136, 45, 26]-code) | Constructive and linear | [i] |
86 | Linear OA(299, 180, F2, 25) (dual of [180, 81, 26]-code) | Constructive and linear | [i] |
87 | Linear OA(2119, 524, F2, 25) (dual of [524, 405, 26]-code) | Constructive and linear | [i] |
88 | Linear OA(2131, 1036, F2, 25) (dual of [1036, 905, 26]-code) | Constructive and linear | [i] |
89 | Linear OA(2145, 2062, F2, 25) (dual of [2062, 1917, 26]-code) | Constructive and linear | [i] |
90 | Linear OA(2157, 4110, F2, 25) (dual of [4110, 3953, 26]-code) | Constructive and linear | [i] |
91 | Linear OA(2169, 8206, F2, 25) (dual of [8206, 8037, 26]-code) | Constructive and linear | [i] |
92 | Linear OA(2181, 16398, F2, 25) (dual of [16398, 16217, 26]-code) | Constructive and linear | [i] |
93 | Linear OA(2193, 32782, F2, 25) (dual of [32782, 32589, 26]-code) | Constructive and linear | [i] |
94 | Linear OA(2205, 65550, F2, 25) (dual of [65550, 65345, 26]-code) | Constructive and linear | [i] |
95 | Linear OA(2217, 131086, F2, 25) (dual of [131086, 130869, 26]-code) | Constructive and linear | [i] |
96 | Linear OA(2229, 262158, F2, 25) (dual of [262158, 261929, 26]-code) | Constructive and linear | [i] |
97 | Linear OA(2241, 524302, F2, 25) (dual of [524302, 524061, 26]-code) | Constructive and linear | [i] |
98 | Linear OA(2253, 1048590, F2, 25) (dual of [1048590, 1048337, 26]-code) | Constructive and linear | [i] |
99 | Linear OA(282, 98, F2, 27) (dual of [98, 16, 28]-code) | Constructive and linear | [i] |
100 | Linear OA(285, 128, F2, 31) (dual of [128, 43, 32]-code) | Constructive and linear | [i] |