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Usage of Method: Narrow-Sense BCH-Codes (BCH-Bound)

Appears in the following modes: “Constructive and linear” (255 times).

First 100 Prev 100 Next 100 Last 55

	Incarnation	Mode
1	Linear OA(38, 41, F3, 4) (dual of [41, 33, 5]-code)	Constructive and linear	[i]
2	Linear OA(312, 365, F3, 4) (dual of [365, 353, 5]-code)	Constructive and linear	[i]
3	Linear OA(316, 3281, F3, 4) (dual of [3281, 3265, 5]-code)	Constructive and linear	[i]
4	Linear OA(320, 29525, F3, 4) (dual of [29525, 29505, 5]-code)	Constructive and linear	[i]
5	Linear OA(324, 265721, F3, 4) (dual of [265721, 265697, 5]-code)	Constructive and linear	[i]
6	Linear OA(328, 2391485, F3, 4) (dual of [2391485, 2391457, 5]-code)	Constructive and linear	[i]
7	Linear OA(322, 67, F3, 6) (dual of [67, 45, 7]-code)	Constructive and linear	[i]
8	Linear OA(366, 469, F3, 6) (dual of [469, 403, 7]-code)	Constructive and linear	[i]
9	Linear OA(3126, 37969, F3, 6) (dual of [37969, 37843, 7]-code)	Constructive and linear	[i]
10	Linear OA(3108, 365, F3, 16) (dual of [365, 257, 17]-code)	Constructive and linear	[i]
11	Linear OA(371, 77, F3, 27) (dual of [77, 6, 28]-code)	Constructive and linear	[i]
12	Linear OA(3144, 365, F3, 22) (dual of [365, 221, 23]-code)	Constructive and linear	[i]
13	Linear OA(3114, 133, F3, 36) (dual of [133, 19, 37]-code)	Constructive and linear	[i]
14	Linear OA(3156, 365, F3, 22) (dual of [365, 209, 23]-code)	Constructive and linear	[i]
15	Linear OA(3219, 247, F3, 40) (dual of [247, 28, 41]-code)	Constructive and linear	[i]
16	Linear OA(3192, 365, F3, 28) (dual of [365, 173, 29]-code)	Constructive and linear	[i]
17	Linear OA(424, 65, F4, 6) (dual of [65, 41, 7]-code)	Constructive and linear	[i]
18	Linear OA(432, 257, F4, 6) (dual of [257, 225, 7]-code)	Constructive and linear	[i]
19	Linear OA(440, 1025, F4, 6) (dual of [1025, 985, 7]-code)	Constructive and linear	[i]
20	Linear OA(448, 4097, F4, 6) (dual of [4097, 4049, 7]-code)	Constructive and linear	[i]
21	Linear OA(456, 16385, F4, 6) (dual of [16385, 16329, 7]-code)	Constructive and linear	[i]
22	Linear OA(464, 65537, F4, 6) (dual of [65537, 65473, 7]-code)	Constructive and linear	[i]
23	Linear OA(472, 262145, F4, 6) (dual of [262145, 262073, 7]-code)	Constructive and linear	[i]
24	Linear OA(480, 1048577, F4, 6) (dual of [1048577, 1048497, 7]-code)	Constructive and linear	[i]
25	Linear OA(488, 4194305, F4, 6) (dual of [4194305, 4194217, 7]-code)	Constructive and linear	[i]
26	Linear OA(430, 41, F4, 14) (dual of [41, 11, 15]-code)	Constructive and linear	[i]
27	Linear OA(442, 65, F4, 10) (dual of [65, 23, 11]-code)	Constructive and linear	[i]
28	Linear OA(470, 1025, F4, 10) (dual of [1025, 955, 11]-code)	Constructive and linear	[i]
29	Linear OA(484, 4097, F4, 10) (dual of [4097, 4013, 11]-code)	Constructive and linear	[i]
30	Linear OA(498, 16385, F4, 10) (dual of [16385, 16287, 11]-code)	Constructive and linear	[i]
31	Linear OA(4112, 65537, F4, 10) (dual of [65537, 65425, 11]-code)	Constructive and linear	[i]
32	Linear OA(4126, 262145, F4, 10) (dual of [262145, 262019, 11]-code)	Constructive and linear	[i]
33	Linear OA(4140, 1048577, F4, 10) (dual of [1048577, 1048437, 11]-code)	Constructive and linear	[i]
34	Linear OA(4154, 4194305, F4, 10) (dual of [4194305, 4194151, 11]-code)	Constructive and linear	[i]
35	Linear OA(4100, 1025, F4, 14) (dual of [1025, 925, 15]-code)	Constructive and linear	[i]
36	Linear OA(4120, 4097, F4, 14) (dual of [4097, 3977, 15]-code)	Constructive and linear	[i]
37	Linear OA(4140, 16385, F4, 14) (dual of [16385, 16245, 15]-code)	Constructive and linear	[i]
38	Linear OA(4160, 65537, F4, 14) (dual of [65537, 65377, 15]-code)	Constructive and linear	[i]
39	Linear OA(4180, 262145, F4, 14) (dual of [262145, 261965, 15]-code)	Constructive and linear	[i]
40	Linear OA(4200, 1048577, F4, 14) (dual of [1048577, 1048377, 15]-code)	Constructive and linear	[i]
41	Linear OA(4220, 4194305, F4, 14) (dual of [4194305, 4194085, 15]-code)	Constructive and linear	[i]
42	Linear OA(496, 257, F4, 18) (dual of [257, 161, 19]-code)	Constructive and linear	[i]
43	Linear OA(4130, 1025, F4, 18) (dual of [1025, 895, 19]-code)	Constructive and linear	[i]
44	Linear OA(4156, 4097, F4, 18) (dual of [4097, 3941, 19]-code)	Constructive and linear	[i]
45	Linear OA(4182, 16385, F4, 18) (dual of [16385, 16203, 19]-code)	Constructive and linear	[i]
46	Linear OA(4208, 65537, F4, 18) (dual of [65537, 65329, 19]-code)	Constructive and linear	[i]
47	Linear OA(4234, 262145, F4, 18) (dual of [262145, 261911, 19]-code)	Constructive and linear	[i]
48	Linear OA(498, 113, F4, 38) (dual of [113, 15, 39]-code)	Constructive and linear	[i]
49	Linear OA(456, 65, F4, 32) (dual of [65, 9, 33]-code)	Constructive and linear	[i]
50	Linear OA(4120, 257, F4, 22) (dual of [257, 137, 23]-code)	Constructive and linear	[i]
51	Linear OA(4160, 1025, F4, 22) (dual of [1025, 865, 23]-code)	Constructive and linear	[i]
52	Linear OA(4192, 4097, F4, 22) (dual of [4097, 3905, 23]-code)	Constructive and linear	[i]
53	Linear OA(4224, 16385, F4, 22) (dual of [16385, 16161, 23]-code)	Constructive and linear	[i]
54	Linear OA(4115, 121, F4, 43) (dual of [121, 6, 44]-code)	Constructive and linear	[i]
55	Linear OA(4190, 1025, F4, 26) (dual of [1025, 835, 27]-code)	Constructive and linear	[i]
56	Linear OA(4228, 4097, F4, 26) (dual of [4097, 3869, 27]-code)	Constructive and linear	[i]
57	Linear OA(4222, 247, F4, 56) (dual of [247, 25, 57]-code)	Constructive and linear	[i]
58	Linear OA(4220, 1025, F4, 30) (dual of [1025, 805, 31]-code)	Constructive and linear	[i]
59	Linear OA(4192, 257, F4, 38) (dual of [257, 65, 39]-code)	Constructive and linear	[i]
60	Linear OA(4216, 241, F4, 80) (dual of [241, 25, 81]-code)	Constructive and linear	[i]
61	Linear OA(4216, 257, F4, 42) (dual of [257, 41, 43]-code)	Constructive and linear	[i]
62	Linear OA(4228, 241, F4, 118) (dual of [241, 13, 119]-code)	Constructive and linear	[i]
63	Linear OA(516, 626, F5, 3) (dual of [626, 610, 4]-code or 626-cap in PG(15,5))	Constructive and linear	[i]
64	Linear OA(524, 15626, F5, 3) (dual of [15626, 15602, 4]-code or 15626-cap in PG(23,5))	Constructive and linear	[i]
65	Linear OA(532, 390626, F5, 3) (dual of [390626, 390594, 4]-code or 390626-cap in PG(31,5))	Constructive and linear	[i]
66	Linear OA(58, 13, F5, 6) (dual of [13, 5, 7]-code)	Constructive and linear	[i]
67	Linear OA(527, 31, F5, 19) (dual of [31, 4, 20]-code)	Constructive and linear	[i]
68	Linear OA(580, 313, F5, 16) (dual of [313, 233, 17]-code)	Constructive and linear	[i]
69	Linear OA(560, 71, F5, 27) (dual of [71, 11, 28]-code)	Constructive and linear	[i]
70	Linear OA(588, 313, F5, 16) (dual of [313, 225, 17]-code)	Constructive and linear	[i]
71	Linear OA(5104, 313, F5, 18) (dual of [313, 209, 19]-code)	Constructive and linear	[i]
72	Linear OA(554, 63, F5, 20) (dual of [63, 9, 21]-code)	Constructive and linear	[i]
73	Linear OA(586, 91, F5, 48) (dual of [91, 5, 49]-code)	Constructive and linear	[i]
74	Linear OA(5138, 143, F5, 76) (dual of [143, 5, 77]-code)	Constructive and linear	[i]
75	Linear OA(720, 25, F7, 16) (dual of [25, 5, 17]-code)	Constructive and linear	[i]
76	Linear OA(736, 43, F7, 28) (dual of [43, 7, 29]-code)	Constructive and linear	[i]
77	Linear OA(88, 13, F8, 6) (dual of [13, 5, 7]-code)	Constructive and linear	[i]
78	Linear OA(812, 65, F8, 4) (dual of [65, 53, 5]-code)	Constructive and linear	[i]
79	Linear OA(818, 513, F8, 4) (dual of [513, 495, 5]-code)	Constructive and linear	[i]
80	Linear OA(824, 4097, F8, 4) (dual of [4097, 4073, 5]-code)	Constructive and linear	[i]
81	Linear OA(830, 32769, F8, 4) (dual of [32769, 32739, 5]-code)	Constructive and linear	[i]
82	Linear OA(836, 262145, F8, 4) (dual of [262145, 262109, 5]-code)	Constructive and linear	[i]
83	Linear OA(842, 2097153, F8, 4) (dual of [2097153, 2097111, 5]-code)	Constructive and linear	[i]
84	Linear OA(812, 19, F8, 8) (dual of [19, 7, 9]-code)	Constructive and linear	[i]
85	Linear OA(840, 61, F8, 16) (dual of [61, 21, 17]-code)	Constructive and linear	[i]
86	Linear OA(828, 65, F8, 10) (dual of [65, 37, 11]-code)	Constructive and linear	[i]
87	Linear OA(848, 513, F8, 10) (dual of [513, 465, 11]-code)	Constructive and linear	[i]
88	Linear OA(864, 4097, F8, 10) (dual of [4097, 4033, 11]-code)	Constructive and linear	[i]
89	Linear OA(880, 32769, F8, 10) (dual of [32769, 32689, 11]-code)	Constructive and linear	[i]
90	Linear OA(896, 262145, F8, 10) (dual of [262145, 262049, 11]-code)	Constructive and linear	[i]
91	Linear OA(8112, 2097153, F8, 10) (dual of [2097153, 2097041, 11]-code)	Constructive and linear	[i]
92	Linear OA(836, 65, F8, 12) (dual of [65, 29, 13]-code)	Constructive and linear	[i]
93	Linear OA(860, 513, F8, 12) (dual of [513, 453, 13]-code)	Constructive and linear	[i]
94	Linear OA(880, 4097, F8, 12) (dual of [4097, 4017, 13]-code)	Constructive and linear	[i]
95	Linear OA(8100, 32769, F8, 12) (dual of [32769, 32669, 13]-code)	Constructive and linear	[i]
96	Linear OA(8120, 262145, F8, 12) (dual of [262145, 262025, 13]-code)	Constructive and linear	[i]
97	Linear OA(8140, 2097153, F8, 12) (dual of [2097153, 2097013, 13]-code)	Constructive and linear	[i]
98	Linear OA(874, 81, F8, 26) (dual of [81, 7, 27]-code)	Constructive and linear	[i]
99	Linear OA(890, 513, F8, 18) (dual of [513, 423, 19]-code)	Constructive and linear	[i]
100	Linear OA(8120, 4097, F8, 18) (dual of [4097, 3977, 19]-code)	Constructive and linear	[i]

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