Usage of Method: Narrow-Sense BCH-Codes (General Roos-Bound)
Appears in the following modes: “Constructive and linear” (175 times).
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| Incarnation | Mode | ||
|---|---|---|---|
| 1 | Linear OA(228, 43, F2, 9) (dual of [43, 15, 10]-code) | Constructive and linear | [i] |
| 2 | Linear OA(256, 129, F2, 10) (dual of [129, 73, 11]-code) | Constructive and linear | [i] |
| 3 | Linear OA(284, 129, F2, 18) (dual of [129, 45, 19]-code) | Constructive and linear | [i] |
| 4 | Linear OA(290, 171, F2, 16) (dual of [171, 81, 17]-code) | Constructive and linear | [i] |
| 5 | Linear OA(275, 91, F2, 20) (dual of [91, 16, 21]-code) | Constructive and linear | [i] |
| 6 | Linear OA(2112, 145, F2, 28) (dual of [145, 33, 29]-code) | Constructive and linear | [i] |
| 7 | Linear OA(298, 129, F2, 26) (dual of [129, 31, 27]-code) | Constructive and linear | [i] |
| 8 | Linear OA(2102, 117, F2, 30) (dual of [117, 15, 31]-code) | Constructive and linear | [i] |
| 9 | Linear OA(2112, 129, F2, 26) (dual of [129, 17, 27]-code) | Constructive and linear | [i] |
| 10 | Linear OA(2135, 151, F2, 40) (dual of [151, 16, 41]-code) | Constructive and linear | [i] |
| 11 | Linear OA(2150, 171, F2, 40) (dual of [171, 21, 41]-code) | Constructive and linear | [i] |
| 12 | Linear OA(316, 82, F3, 4) (dual of [82, 66, 5]-code) | Constructive and linear | [i] |
| 13 | Linear OA(324, 82, F3, 6) (dual of [82, 58, 7]-code) | Constructive and linear | [i] |
| 14 | Linear OA(348, 82, F3, 12) (dual of [82, 34, 13]-code) | Constructive and linear | [i] |
| 15 | Linear OA(364, 82, F3, 15) (dual of [82, 18, 16]-code) | Constructive and linear | [i] |
| 16 | Linear OA(372, 82, F3, 31) (dual of [82, 10, 32]-code) | Constructive and linear | [i] |
| 17 | Linear OA(380, 122, F3, 16) (dual of [122, 42, 17]-code) | Constructive and linear | [i] |
| 18 | Linear OA(390, 122, F3, 19) (dual of [122, 32, 20]-code) | Constructive and linear | [i] |
| 19 | Linear OA(3100, 122, F3, 23) (dual of [122, 22, 24]-code) | Constructive and linear | [i] |
| 20 | Linear OA(3108, 146, F3, 22) (dual of [146, 38, 23]-code) | Constructive and linear | [i] |
| 21 | Linear OA(3110, 122, F3, 42) (dual of [122, 12, 43]-code) | Constructive and linear | [i] |
| 22 | Linear OA(3136, 164, F3, 40) (dual of [164, 28, 41]-code) | Constructive and linear | [i] |
| 23 | Linear OA(3120, 146, F3, 25) (dual of [146, 26, 26]-code) | Constructive and linear | [i] |
| 24 | Linear OA(3132, 146, F3, 34) (dual of [146, 14, 35]-code) | Constructive and linear | [i] |
| 25 | Linear OA(3186, 196, F3, 48) (dual of [196, 10, 49]-code) | Constructive and linear | [i] |
| 26 | Linear OA(477, 115, F4, 12) (dual of [115, 38, 13]-code) | Constructive and linear | [i] |
| 27 | Linear OA(4116, 177, F4, 11) (dual of [177, 61, 12]-code) | Constructive and linear | [i] |
| 28 | Linear OA(470, 87, F4, 16) (dual of [87, 17, 17]-code) | Constructive and linear | [i] |
| 29 | Linear OA(436, 65, F4, 10) (dual of [65, 29, 11]-code) | Constructive and linear | [i] |
| 30 | Linear OA(429, 35, F4, 14) (dual of [35, 6, 15]-code) | Constructive and linear | [i] |
| 31 | Linear OA(4119, 129, F4, 42) (dual of [129, 10, 43]-code) | Constructive and linear | [i] |
| 32 | Linear OA(4111, 119, F4, 43) (dual of [119, 8, 44]-code) | Constructive and linear | [i] |
| 33 | Linear OA(4147, 155, F4, 70) (dual of [155, 8, 71]-code) | Constructive and linear | [i] |
| 34 | Linear OA(58, 26, F5, 4) (dual of [26, 18, 5]-code) | Constructive and linear | [i] |
| 35 | Linear OA(545, 76, F5, 7) (dual of [76, 31, 8]-code) | Constructive and linear | [i] |
| 36 | Linear OA(520, 26, F5, 10) (dual of [26, 6, 11]-code) | Constructive and linear | [i] |
| 37 | Linear OA(536, 126, F5, 8) (dual of [126, 90, 9]-code) | Constructive and linear | [i] |
| 38 | Linear OA(532, 42, F5, 12) (dual of [42, 10, 13]-code) | Constructive and linear | [i] |
| 39 | Linear OA(554, 126, F5, 12) (dual of [126, 72, 13]-code) | Constructive and linear | [i] |
| 40 | Linear OA(548, 63, F5, 20) (dual of [63, 15, 21]-code) | Constructive and linear | [i] |
| 41 | Linear OA(598, 126, F5, 32) (dual of [126, 28, 33]-code) | Constructive and linear | [i] |
| 42 | Linear OA(5104, 126, F5, 36) (dual of [126, 22, 37]-code) | Constructive and linear | [i] |
| 43 | Linear OA(5110, 126, F5, 39) (dual of [126, 16, 40]-code) | Constructive and linear | [i] |
| 44 | Linear OA(5116, 126, F5, 41) (dual of [126, 10, 42]-code) | Constructive and linear | [i] |
| 45 | Linear OA(712, 50, F7, 4) (dual of [50, 38, 5]-code) | Constructive and linear | [i] |
| 46 | Linear OA(732, 50, F7, 12) (dual of [50, 18, 13]-code) | Constructive and linear | [i] |
| 47 | Linear OA(736, 50, F7, 15) (dual of [50, 14, 16]-code) | Constructive and linear | [i] |
| 48 | Linear OA(754, 86, F7, 16) (dual of [86, 32, 17]-code) | Constructive and linear | [i] |
| 49 | Linear OA(740, 50, F7, 24) (dual of [50, 10, 25]-code) | Constructive and linear | [i] |
| 50 | Linear OA(760, 86, F7, 20) (dual of [86, 26, 21]-code) | Constructive and linear | [i] |
| 51 | Linear OA(744, 50, F7, 24) (dual of [50, 6, 25]-code) | Constructive and linear | [i] |
| 52 | Linear OA(766, 86, F7, 24) (dual of [86, 20, 25]-code) | Constructive and linear | [i] |
| 53 | Linear OA(772, 86, F7, 28) (dual of [86, 14, 29]-code) | Constructive and linear | [i] |
| 54 | Linear OA(778, 86, F7, 42) (dual of [86, 8, 43]-code) | Constructive and linear | [i] |
| 55 | Linear OA(784, 88, F7, 43) (dual of [88, 4, 44]-code) | Constructive and linear | [i] |
| 56 | Linear OA(832, 65, F8, 12) (dual of [65, 33, 13]-code) | Constructive and linear | [i] |
| 57 | Linear OA(848, 65, F8, 24) (dual of [65, 17, 25]-code) | Constructive and linear | [i] |
| 58 | Linear OA(898, 171, F8, 28) (dual of [171, 73, 29]-code) | Constructive and linear | [i] |
| 59 | Linear OA(8116, 171, F8, 32) (dual of [171, 55, 33]-code) | Constructive and linear | [i] |
| 60 | Linear OA(8122, 171, F8, 34) (dual of [171, 49, 35]-code) | Constructive and linear | [i] |
| 61 | Linear OA(8128, 171, F8, 39) (dual of [171, 43, 40]-code) | Constructive and linear | [i] |
| 62 | Linear OA(912, 82, F9, 4) (dual of [82, 70, 5]-code) | Constructive and linear | [i] |
| 63 | Linear OA(920, 41, F9, 8) (dual of [41, 21, 9]-code) | Constructive and linear | [i] |
| 64 | Linear OA(929, 35, F9, 14) (dual of [35, 6, 15]-code) | Constructive and linear | [i] |
| 65 | Linear OA(928, 41, F9, 13) (dual of [41, 13, 14]-code) | Constructive and linear | [i] |
| 66 | Linear OA(932, 41, F9, 17) (dual of [41, 9, 18]-code) | Constructive and linear | [i] |
| 67 | Linear OA(936, 82, F9, 13) (dual of [82, 46, 14]-code) | Constructive and linear | [i] |
| 68 | Linear OA(944, 82, F9, 14) (dual of [82, 38, 15]-code) | Constructive and linear | [i] |
| 69 | Linear OA(948, 82, F9, 16) (dual of [82, 34, 17]-code) | Constructive and linear | [i] |
| 70 | Linear OA(978, 146, F9, 20) (dual of [146, 68, 21]-code) | Constructive and linear | [i] |
| 71 | Linear OA(984, 146, F9, 24) (dual of [146, 62, 25]-code) | Constructive and linear | [i] |
| 72 | Linear OA(960, 82, F9, 24) (dual of [82, 22, 25]-code) | Constructive and linear | [i] |
| 73 | Linear OA(990, 146, F9, 24) (dual of [146, 56, 25]-code) | Constructive and linear | [i] |
| 74 | Linear OA(964, 82, F9, 27) (dual of [82, 18, 28]-code) | Constructive and linear | [i] |
| 75 | Linear OA(996, 146, F9, 24) (dual of [146, 50, 25]-code) | Constructive and linear | [i] |
| 76 | Linear OA(968, 82, F9, 30) (dual of [82, 14, 31]-code) | Constructive and linear | [i] |
| 77 | Linear OA(972, 82, F9, 40) (dual of [82, 10, 41]-code) | Constructive and linear | [i] |
| 78 | Linear OA(976, 82, F9, 40) (dual of [82, 6, 41]-code) | Constructive and linear | [i] |
| 79 | Linear OA(9106, 110, F9, 54) (dual of [110, 4, 55]-code) | Constructive and linear | [i] |
| 80 | Linear OA(168, 17, F16, 6) (dual of [17, 9, 7]-code) | Constructive and linear | [i] |
| 81 | Linear OA(1610, 17, F16, 8) (dual of [17, 7, 9]-code) | Constructive and linear | [i] |
| 82 | Linear OA(256, 26, F25, 4) (dual of [26, 20, 5]-code) | Constructive and linear | [i] |
| 83 | Linear OA(2510, 26, F25, 6) (dual of [26, 16, 7]-code) | Constructive and linear | [i] |
| 84 | Linear OA(2514, 26, F25, 10) (dual of [26, 12, 11]-code) | Constructive and linear | [i] |
| 85 | Linear OA(2516, 26, F25, 12) (dual of [26, 10, 13]-code) | Constructive and linear | [i] |
| 86 | Linear OA(2518, 26, F25, 12) (dual of [26, 8, 13]-code) | Constructive and linear | [i] |
| 87 | Linear OA(2520, 26, F25, 12) (dual of [26, 6, 13]-code) | Constructive and linear | [i] |
| 88 | Linear OA(2522, 26, F25, 12) (dual of [26, 4, 13]-code) | Constructive and linear | [i] |
| 89 | Linear OA(2710, 28, F27, 6) (dual of [28, 18, 7]-code) | Constructive and linear | [i] |
| 90 | Linear OA(2714, 28, F27, 9) (dual of [28, 14, 10]-code) | Constructive and linear | [i] |
| 91 | Linear OA(2716, 28, F27, 12) (dual of [28, 12, 13]-code) | Constructive and linear | [i] |
| 92 | Linear OA(2718, 28, F27, 13) (dual of [28, 10, 14]-code) | Constructive and linear | [i] |
| 93 | Linear OA(2720, 28, F27, 13) (dual of [28, 8, 14]-code) | Constructive and linear | [i] |
| 94 | Linear OA(2722, 28, F27, 13) (dual of [28, 6, 14]-code) | Constructive and linear | [i] |
| 95 | Linear OA(2736, 73, F27, 14) (dual of [73, 37, 15]-code) | Constructive and linear | [i] |
| 96 | Linear OA(2740, 146, F27, 12) (dual of [146, 106, 13]-code) | Constructive and linear | [i] |
| 97 | Linear OA(2740, 73, F27, 14) (dual of [73, 33, 15]-code) | Constructive and linear | [i] |
| 98 | Linear OA(2748, 146, F27, 14) (dual of [146, 98, 15]-code) | Constructive and linear | [i] |
| 99 | Linear OA(2744, 73, F27, 18) (dual of [73, 29, 19]-code) | Constructive and linear | [i] |
| 100 | Linear OA(2748, 73, F27, 20) (dual of [73, 25, 21]-code) | Constructive and linear | [i] |