Usage of Method: OAs with Strength 3, b ≠ 2, and m > 3 Are Always Embeddable

Appears in the following modes: “Constructive and linear” (123 times).

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IncarnationMode 
1Linear OOA(34, 10, F3, 2, 3) (dual of [(10, 2), 16, 4]-NRT-code)Constructive and linear [i]
2Linear OOA(35, 20, F3, 2, 3) (dual of [(20, 2), 35, 4]-NRT-code)Constructive and linear [i]
3Linear OOA(36, 56, F3, 2, 3) (dual of [(56, 2), 106, 4]-NRT-code)Constructive and linear [i]
4Linear OOA(37, 112, F3, 2, 3) (dual of [(112, 2), 217, 4]-NRT-code)Constructive and linear [i]
5Linear OOA(38, 248, F3, 2, 3) (dual of [(248, 2), 488, 4]-NRT-code)Constructive and linear [i]
6Linear OOA(39, 532, F3, 2, 3) (dual of [(532, 2), 1055, 4]-NRT-code)Constructive and linear [i]
7Linear OOA(310, 1216, F3, 2, 3) (dual of [(1216, 2), 2422, 4]-NRT-code)Constructive and linear [i]
8Linear OOA(311, 2744, F3, 2, 3) (dual of [(2744, 2), 5477, 4]-NRT-code)Constructive and linear [i]
9Linear OOA(312, 6464, F3, 2, 3) (dual of [(6464, 2), 12916, 4]-NRT-code)Constructive and linear [i]
10Linear OOA(313, 13312, F3, 2, 3) (dual of [(13312, 2), 26611, 4]-NRT-code)Constructive and linear [i]
11Linear OOA(314, 30464, F3, 2, 3) (dual of [(30464, 2), 60914, 4]-NRT-code)Constructive and linear [i]
12Linear OOA(315, 60928, F3, 2, 3) (dual of [(60928, 2), 121841, 4]-NRT-code)Constructive and linear [i]
13Linear OOA(316, 146944, F3, 2, 3) (dual of [(146944, 2), 293872, 4]-NRT-code)Constructive and linear [i]
14Linear OOA(317, 307328, F3, 2, 3) (dual of [(307328, 2), 614639, 4]-NRT-code)Constructive and linear [i]
15Linear OOA(318, 745472, F3, 2, 3) (dual of [(745472, 2), 1490926, 4]-NRT-code)Constructive and linear [i]
16Linear OOA(319, 1490944, F3, 2, 3) (dual of [(1490944, 2), 2981869, 4]-NRT-code)Constructive and linear [i]
17Linear OOA(320, 3713024, F3, 2, 3) (dual of [(3713024, 2), 7426028, 4]-NRT-code)Constructive and linear [i]
18Linear OOA(321, 7426048, F3, 2, 3) (dual of [(7426048, 2), 14852075, 4]-NRT-code)Constructive and linear [i]
19Linear OOA(322, large, F3, 2, 3)Constructive and linear [i]
20Linear OOA(44, 17, F4, 2, 3) (dual of [(17, 2), 30, 4]-NRT-code)Constructive and linear [i]
21Linear OOA(45, 41, F4, 2, 3) (dual of [(41, 2), 77, 4]-NRT-code)Constructive and linear [i]
22Linear OOA(46, 126, F4, 2, 3) (dual of [(126, 2), 246, 4]-NRT-code)Constructive and linear [i]
23Linear OOA(47, 288, F4, 2, 3) (dual of [(288, 2), 569, 4]-NRT-code)Constructive and linear [i]
24Linear OOA(48, 756, F4, 2, 3) (dual of [(756, 2), 1504, 4]-NRT-code)Constructive and linear [i]
25Linear OOA(49, 2110, F4, 2, 3) (dual of [(2110, 2), 4211, 4]-NRT-code)Constructive and linear [i]
26Linear OOA(410, 5040, F4, 2, 3) (dual of [(5040, 2), 10070, 4]-NRT-code)Constructive and linear [i]
27Linear OOA(411, 15423, F4, 2, 3) (dual of [(15423, 2), 30835, 4]-NRT-code)Constructive and linear [i]
28Linear OOA(412, 34566, F4, 2, 3) (dual of [(34566, 2), 69120, 4]-NRT-code)Constructive and linear [i]
29Linear OOA(413, 95256, F4, 2, 3) (dual of [(95256, 2), 190499, 4]-NRT-code)Constructive and linear [i]
30Linear OOA(414, 253206, F4, 2, 3) (dual of [(253206, 2), 506398, 4]-NRT-code)Constructive and linear [i]
31Linear OOA(415, 616920, F4, 2, 3) (dual of [(616920, 2), 1233825, 4]-NRT-code)Constructive and linear [i]
32Linear OOA(416, 1850766, F4, 2, 3) (dual of [(1850766, 2), 3701516, 4]-NRT-code)Constructive and linear [i]
33Linear OOA(417, 4179650, F4, 2, 3) (dual of [(4179650, 2), 8359283, 4]-NRT-code)Constructive and linear [i]
34Linear OOA(418, large, F4, 2, 3)Constructive and linear [i]
35Linear OOA(54, 26, F5, 2, 3) (dual of [(26, 2), 48, 4]-NRT-code)Constructive and linear [i]
36Linear OOA(55, 66, F5, 2, 3) (dual of [(66, 2), 127, 4]-NRT-code)Constructive and linear [i]
37Linear OOA(56, 186, F5, 2, 3) (dual of [(186, 2), 366, 4]-NRT-code)Constructive and linear [i]
38Linear OOA(57, 675, F5, 2, 3) (dual of [(675, 2), 1343, 4]-NRT-code)Constructive and linear [i]
39Linear OOA(58, 1715, F5, 2, 3) (dual of [(1715, 2), 3422, 4]-NRT-code)Constructive and linear [i]
40Linear OOA(59, 4700, F5, 2, 3) (dual of [(4700, 2), 9391, 4]-NRT-code)Constructive and linear [i]
41Linear OOA(510, 17124, F5, 2, 3) (dual of [(17124, 2), 34238, 4]-NRT-code)Constructive and linear [i]
42Linear OOA(511, 43876, F5, 2, 3) (dual of [(43876, 2), 87741, 4]-NRT-code)Constructive and linear [i]
43Linear OOA(512, 120740, F5, 2, 3) (dual of [(120740, 2), 241468, 4]-NRT-code)Constructive and linear [i]
44Linear OOA(513, 438101, F5, 2, 3) (dual of [(438101, 2), 876189, 4]-NRT-code)Constructive and linear [i]
45Linear OOA(514, 1123200, F5, 2, 3) (dual of [(1123200, 2), 2246386, 4]-NRT-code)Constructive and linear [i]
46Linear OOA(515, 3050326, F5, 2, 3) (dual of [(3050326, 2), 6100637, 4]-NRT-code)Constructive and linear [i]
47Linear OOA(516, large, F5, 2, 3)Constructive and linear [i]
48Linear OOA(74, 50, F7, 2, 3) (dual of [(50, 2), 96, 4]-NRT-code)Constructive and linear [i]
49Linear OOA(75, 132, F7, 2, 3) (dual of [(132, 2), 259, 4]-NRT-code)Constructive and linear [i]
50Linear OOA(76, 434, F7, 2, 3) (dual of [(434, 2), 862, 4]-NRT-code)Constructive and linear [i]
51Linear OOA(77, 2499, F7, 2, 3) (dual of [(2499, 2), 4991, 4]-NRT-code)Constructive and linear [i]
52Linear OOA(78, 6472, F7, 2, 3) (dual of [(6472, 2), 12936, 4]-NRT-code)Constructive and linear [i]
53Linear OOA(79, 21555, F7, 2, 3) (dual of [(21555, 2), 43101, 4]-NRT-code)Constructive and linear [i]
54Linear OOA(710, 122500, F7, 2, 3) (dual of [(122500, 2), 244990, 4]-NRT-code)Constructive and linear [i]
55Linear OOA(711, 323318, F7, 2, 3) (dual of [(323318, 2), 646625, 4]-NRT-code)Constructive and linear [i]
56Linear OOA(712, 1067080, F7, 2, 3) (dual of [(1067080, 2), 2134148, 4]-NRT-code)Constructive and linear [i]
57Linear OOA(713, 6120101, F7, 2, 3) (dual of [(6120101, 2), 12240189, 4]-NRT-code)Constructive and linear [i]
58Linear OOA(714, large, F7, 2, 3)Constructive and linear [i]
59Linear OOA(84, 65, F8, 2, 3) (dual of [(65, 2), 126, 4]-NRT-code)Constructive and linear [i]
60Linear OOA(85, 208, F8, 2, 3) (dual of [(208, 2), 411, 4]-NRT-code)Constructive and linear [i]
61Linear OOA(86, 695, F8, 2, 3) (dual of [(695, 2), 1384, 4]-NRT-code)Constructive and linear [i]
62Linear OOA(87, 4224, F8, 2, 3) (dual of [(4224, 2), 8441, 4]-NRT-code)Constructive and linear [i]
63Linear OOA(88, 13520, F8, 2, 3) (dual of [(13520, 2), 27032, 4]-NRT-code)Constructive and linear [i]
64Linear OOA(89, 45174, F8, 2, 3) (dual of [(45174, 2), 90339, 4]-NRT-code)Constructive and linear [i]
65Linear OOA(810, 270400, F8, 2, 3) (dual of [(270400, 2), 540790, 4]-NRT-code)Constructive and linear [i]
66Linear OOA(811, 878800, F8, 2, 3) (dual of [(878800, 2), 1757589, 4]-NRT-code)Constructive and linear [i]
67Linear OOA(812, 2931457, F8, 2, 3) (dual of [(2931457, 2), 5862902, 4]-NRT-code)Constructive and linear [i]
68Linear OOA(813, large, F8, 2, 3)Constructive and linear [i]
69Linear OOA(94, 82, F9, 2, 3) (dual of [(82, 2), 160, 4]-NRT-code)Constructive and linear [i]
70Linear OOA(95, 212, F9, 2, 3) (dual of [(212, 2), 419, 4]-NRT-code)Constructive and linear [i]
71Linear OOA(96, 840, F9, 2, 3) (dual of [(840, 2), 1674, 4]-NRT-code)Constructive and linear [i]
72Linear OOA(97, 6723, F9, 2, 3) (dual of [(6723, 2), 13439, 4]-NRT-code)Constructive and linear [i]
73Linear OOA(98, 17220, F9, 2, 3) (dual of [(17220, 2), 34432, 4]-NRT-code)Constructive and linear [i]
74Linear OOA(99, 68141, F9, 2, 3) (dual of [(68141, 2), 136273, 4]-NRT-code)Constructive and linear [i]
75Linear OOA(910, 544644, F9, 2, 3) (dual of [(544644, 2), 1089278, 4]-NRT-code)Constructive and linear [i]
76Linear OOA(911, 1411830, F9, 2, 3) (dual of [(1411830, 2), 2823649, 4]-NRT-code)Constructive and linear [i]
77Linear OOA(912, 5580100, F9, 2, 3) (dual of [(5580100, 2), 11160188, 4]-NRT-code)Constructive and linear [i]
78Linear OOA(913, large, F9, 2, 3)Constructive and linear [i]
79Linear OOA(164, 257, F16, 2, 3) (dual of [(257, 2), 510, 4]-NRT-code)Constructive and linear [i]
80Linear OOA(165, 629, F16, 2, 3) (dual of [(629, 2), 1253, 4]-NRT-code)Constructive and linear [i]
81Linear OOA(166, 4626, F16, 2, 3) (dual of [(4626, 2), 9246, 4]-NRT-code)Constructive and linear [i]
82Linear OOA(167, 66048, F16, 2, 3) (dual of [(66048, 2), 132089, 4]-NRT-code)Constructive and linear [i]
83Linear OOA(168, 161652, F16, 2, 3) (dual of [(161652, 2), 323296, 4]-NRT-code)Constructive and linear [i]
84Linear OOA(169, 1188882, F16, 2, 3) (dual of [(1188882, 2), 2377755, 4]-NRT-code)Constructive and linear [i]
85Linear OOA(1610, large, F16, 2, 3)Constructive and linear [i]
86Linear OOA(254, 626, F25, 2, 3) (dual of [(626, 2), 1248, 4]-NRT-code)Constructive and linear [i]
87Linear OOA(255, 1534, F25, 2, 3) (dual of [(1534, 2), 3063, 4]-NRT-code)Constructive and linear [i]
88Linear OOA(256, 16328, F25, 2, 3) (dual of [(16328, 2), 32650, 4]-NRT-code)Constructive and linear [i]
89Linear OOA(257, 391875, F25, 2, 3) (dual of [(391875, 2), 783743, 4]-NRT-code)Constructive and linear [i]
90Linear OOA(258, 958751, F25, 2, 3) (dual of [(958751, 2), 1917494, 4]-NRT-code)Constructive and linear [i]
91Linear OOA(259, large, F25, 2, 3)Constructive and linear [i]
92Linear OOA(274, 730, F27, 2, 3) (dual of [(730, 2), 1456, 4]-NRT-code)Constructive and linear [i]
93Linear OOA(275, 1708, F27, 2, 3) (dual of [(1708, 2), 3411, 4]-NRT-code)Constructive and linear [i]
94Linear OOA(276, 20496, F27, 2, 3) (dual of [(20496, 2), 40986, 4]-NRT-code)Constructive and linear [i]
95Linear OOA(277, 532899, F27, 2, 3) (dual of [(532899, 2), 1065791, 4]-NRT-code)Constructive and linear [i]
96Linear OOA(278, 1245133, F27, 2, 3) (dual of [(1245133, 2), 2490258, 4]-NRT-code)Constructive and linear [i]
97Linear OOA(279, large, F27, 2, 3)Constructive and linear [i]
98Linear OOA(324, 1025, F32, 2, 3) (dual of [(1025, 2), 2046, 4]-NRT-code)Constructive and linear [i]
99Linear OOA(325, 3136, F32, 2, 3) (dual of [(3136, 2), 6267, 4]-NRT-code)Constructive and linear [i]
100Linear OOA(326, 34850, F32, 2, 3) (dual of [(34850, 2), 69694, 4]-NRT-code)Constructive and linear [i]

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