Information on Result #701316
Linear OA(73, 48, F7, 2) (dual of [48, 45, 3]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 48 = 72−1, defining interval I = [0,1], and designed minimum distance d ≥ |I|+1 = 3
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(712, 172, F7, 5) (dual of [172, 160, 6]-code) | [i] | Generalized (u, u+v)-Construction | |
| 2 | Linear OA(753, 62, F7, 36) (dual of [62, 9, 37]-code) | [i] | Juxtaposition | |
| 3 | Linear OA(752, 60, F7, 36) (dual of [60, 8, 37]-code) | [i] | ||
| 4 | Linear OA(760, 67, F7, 43) (dual of [67, 7, 44]-code) | [i] | ||
| 5 | Linear OA(711, 129, F7, 5) (dual of [129, 118, 6]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 6 | Linear OA(782, 183, F7, 35) (dual of [183, 101, 36]-code) | [i] | Construction X with Cyclic Codes | |
| 7 | Linear OA(797, 183, F7, 42) (dual of [183, 86, 43]-code) | [i] | ||
| 8 | Linear OA(77, 52, F7, 4) (dual of [52, 45, 5]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 9 | Linear OA(734, 357, F7, 12) (dual of [357, 323, 13]-code) | [i] | ||
| 10 | Linear OA(756, 376, F7, 18) (dual of [376, 320, 19]-code) | [i] | ||
| 11 | Linear OA(759, 376, F7, 19) (dual of [376, 317, 20]-code) | [i] | ||
| 12 | Linear OA(762, 376, F7, 20) (dual of [376, 314, 21]-code) | [i] | ||
| 13 | Linear OA(752, 357, F7, 19) (dual of [357, 305, 20]-code) | [i] | ||
| 14 | Linear OA(780, 388, F7, 25) (dual of [388, 308, 26]-code) | [i] | ||
| 15 | Linear OA(771, 374, F7, 24) (dual of [374, 303, 25]-code) | [i] | ||
| 16 | Linear OA(785, 387, F7, 27) (dual of [387, 302, 28]-code) | [i] | ||
| 17 | Linear OA(774, 376, F7, 25) (dual of [376, 302, 26]-code) | [i] | ||
| 18 | Linear OA(788, 387, F7, 28) (dual of [387, 299, 29]-code) | [i] | ||
| 19 | Linear OA(777, 376, F7, 26) (dual of [376, 299, 27]-code) | [i] | ||
| 20 | Linear OA(780, 376, F7, 27) (dual of [376, 296, 28]-code) | [i] | ||
| 21 | Linear OA(799, 388, F7, 32) (dual of [388, 289, 33]-code) | [i] | ||
| 22 | Linear OA(770, 357, F7, 26) (dual of [357, 287, 27]-code) | [i] | ||
| 23 | Linear OA(798, 388, F7, 32) (dual of [388, 290, 33]-code) | [i] | ||
| 24 | Linear OA(7100, 387, F7, 33) (dual of [387, 287, 34]-code) | [i] | ||
| 25 | Linear OA(789, 374, F7, 31) (dual of [374, 285, 32]-code) | [i] | ||
| 26 | Linear OA(7103, 387, F7, 34) (dual of [387, 284, 35]-code) | [i] | ||
| 27 | Linear OA(792, 376, F7, 32) (dual of [376, 284, 33]-code) | [i] | ||
| 28 | Linear OA(7106, 387, F7, 35) (dual of [387, 281, 36]-code) | [i] | ||
| 29 | Linear OA(795, 376, F7, 33) (dual of [376, 281, 34]-code) | [i] | ||
| 30 | Linear OA(798, 376, F7, 34) (dual of [376, 278, 35]-code) | [i] | ||
| 31 | Linear OA(788, 357, F7, 33) (dual of [357, 269, 34]-code) | [i] | ||
| 32 | Linear OA(7107, 374, F7, 38) (dual of [374, 267, 39]-code) | [i] | ||
| 33 | Linear OA(7110, 376, F7, 39) (dual of [376, 266, 40]-code) | [i] | ||
| 34 | Linear OA(7106, 357, F7, 40) (dual of [357, 251, 41]-code) | [i] | ||
| 35 | Linear OA(7108, 5764820, F7, 16) (dual of [5764820, 5764712, 17]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 36 | Linear OA(7100, 5764820, F7, 15) (dual of [5764820, 5764720, 16]-code) | [i] | ||
| 37 | Linear OA(760, 5764820, F7, 9) (dual of [5764820, 5764760, 10]-code) | [i] | ||
| 38 | Linear OA(752, 5764820, F7, 8) (dual of [5764820, 5764768, 9]-code) | [i] | ||
| 39 | Linear OA(792, 5764828, F7, 13) (dual of [5764828, 5764736, 14]-code) | [i] | ||
| 40 | Linear OA(784, 5764828, F7, 12) (dual of [5764828, 5764744, 13]-code) | [i] | ||
| 41 | Linear OA(776, 5764828, F7, 11) (dual of [5764828, 5764752, 12]-code) | [i] | ||
| 42 | Linear OA(795, 823560, F7, 16) (dual of [823560, 823465, 17]-code) | [i] | ||
| 43 | Linear OA(788, 823560, F7, 15) (dual of [823560, 823472, 16]-code) | [i] | ||
| 44 | Linear OA(753, 823560, F7, 9) (dual of [823560, 823507, 10]-code) | [i] | ||
| 45 | Linear OA(746, 823560, F7, 8) (dual of [823560, 823514, 9]-code) | [i] | ||
| 46 | Linear OA(7109, 823567, F7, 18) (dual of [823567, 823458, 19]-code) | [i] | ||
| 47 | Linear OA(781, 823567, F7, 13) (dual of [823567, 823486, 14]-code) | [i] | ||
| 48 | Linear OA(774, 823567, F7, 12) (dual of [823567, 823493, 13]-code) | [i] | ||
| 49 | Linear OA(767, 823567, F7, 11) (dual of [823567, 823500, 12]-code) | [i] | ||
| 50 | Linear OA(739, 823567, F7, 6) (dual of [823567, 823528, 7]-code) | [i] | ||
| 51 | Linear OA(782, 117664, F7, 16) (dual of [117664, 117582, 17]-code) | [i] | ||
| 52 | Linear OA(776, 117664, F7, 15) (dual of [117664, 117588, 16]-code) | [i] | ||
| 53 | Linear OA(746, 117664, F7, 9) (dual of [117664, 117618, 10]-code) | [i] | ||
| 54 | Linear OA(740, 117664, F7, 8) (dual of [117664, 117624, 9]-code) | [i] | ||
| 55 | Linear OA(7106, 117670, F7, 20) (dual of [117670, 117564, 21]-code) | [i] | ||
| 56 | Linear OA(7100, 117670, F7, 19) (dual of [117670, 117570, 20]-code) | [i] | ||
| 57 | Linear OA(794, 117670, F7, 18) (dual of [117670, 117576, 19]-code) | [i] | ||
| 58 | Linear OA(770, 117670, F7, 13) (dual of [117670, 117600, 14]-code) | [i] | ||
| 59 | Linear OA(764, 117670, F7, 12) (dual of [117670, 117606, 13]-code) | [i] | ||
| 60 | Linear OA(758, 117670, F7, 11) (dual of [117670, 117612, 12]-code) | [i] | ||
| 61 | Linear OA(799, 16820, F7, 23) (dual of [16820, 16721, 24]-code) | [i] | ||
| 62 | Linear OA(794, 16820, F7, 22) (dual of [16820, 16726, 23]-code) | [i] | ||
| 63 | Linear OA(769, 16820, F7, 16) (dual of [16820, 16751, 17]-code) | [i] | ||
| 64 | Linear OA(764, 16820, F7, 15) (dual of [16820, 16756, 16]-code) | [i] | ||
| 65 | Linear OA(739, 16820, F7, 9) (dual of [16820, 16781, 10]-code) | [i] | ||
| 66 | Linear OA(734, 16820, F7, 8) (dual of [16820, 16786, 9]-code) | [i] | ||
| 67 | Linear OA(7109, 16825, F7, 25) (dual of [16825, 16716, 26]-code) | [i] | ||
| 68 | Linear OA(789, 16825, F7, 20) (dual of [16825, 16736, 21]-code) | [i] | ||
| 69 | Linear OA(784, 16825, F7, 19) (dual of [16825, 16741, 20]-code) | [i] | ||
| 70 | Linear OA(779, 16825, F7, 18) (dual of [16825, 16746, 19]-code) | [i] | ||
| 71 | Linear OA(759, 16825, F7, 13) (dual of [16825, 16766, 14]-code) | [i] | ||
| 72 | Linear OA(754, 16825, F7, 12) (dual of [16825, 16771, 13]-code) | [i] | ||
| 73 | Linear OA(749, 16825, F7, 11) (dual of [16825, 16776, 12]-code) | [i] | ||
| 74 | Linear OA(729, 16825, F7, 6) (dual of [16825, 16796, 7]-code) | [i] | ||
| 75 | Linear OA(7104, 2412, F7, 30) (dual of [2412, 2308, 31]-code) | [i] | ||
| 76 | Linear OA(7100, 2412, F7, 29) (dual of [2412, 2312, 30]-code) | [i] | ||
| 77 | Linear OA(780, 2412, F7, 23) (dual of [2412, 2332, 24]-code) | [i] | ||
| 78 | Linear OA(776, 2412, F7, 22) (dual of [2412, 2336, 23]-code) | [i] | ||
| 79 | Linear OA(756, 2412, F7, 16) (dual of [2412, 2356, 17]-code) | [i] | ||
| 80 | Linear OA(752, 2412, F7, 15) (dual of [2412, 2360, 16]-code) | [i] | ||
| 81 | Linear OA(732, 2412, F7, 9) (dual of [2412, 2380, 10]-code) | [i] | ||
| 82 | Linear OA(728, 2412, F7, 8) (dual of [2412, 2384, 9]-code) | [i] | ||
| 83 | Linear OA(796, 2416, F7, 27) (dual of [2416, 2320, 28]-code) | [i] | ||
| 84 | Linear OA(792, 2416, F7, 26) (dual of [2416, 2324, 27]-code) | [i] | ||
| 85 | Linear OA(788, 2416, F7, 25) (dual of [2416, 2328, 26]-code) | [i] | ||
| 86 | Linear OA(772, 2416, F7, 20) (dual of [2416, 2344, 21]-code) | [i] | ||
| 87 | Linear OA(768, 2416, F7, 19) (dual of [2416, 2348, 20]-code) | [i] | ||
| 88 | Linear OA(764, 2416, F7, 18) (dual of [2416, 2352, 19]-code) | [i] | ||
| 89 | Linear OA(748, 2416, F7, 13) (dual of [2416, 2368, 14]-code) | [i] | ||
| 90 | Linear OA(744, 2416, F7, 12) (dual of [2416, 2372, 13]-code) | [i] | ||
| 91 | Linear OA(740, 2416, F7, 11) (dual of [2416, 2376, 12]-code) | [i] | ||
| 92 | Linear OA(7109, 355, F7, 41) (dual of [355, 246, 42]-code) | [i] | ||
| 93 | Linear OA(7106, 355, F7, 40) (dual of [355, 249, 41]-code) | [i] | ||
| 94 | Linear OA(7103, 355, F7, 39) (dual of [355, 252, 40]-code) | [i] | ||
| 95 | Linear OA(791, 355, F7, 34) (dual of [355, 264, 35]-code) | [i] | ||
| 96 | Linear OA(788, 355, F7, 33) (dual of [355, 267, 34]-code) | [i] | ||
| 97 | Linear OA(785, 355, F7, 32) (dual of [355, 270, 33]-code) | [i] | ||
| 98 | Linear OA(773, 355, F7, 27) (dual of [355, 282, 28]-code) | [i] | ||
| 99 | Linear OA(770, 355, F7, 26) (dual of [355, 285, 27]-code) | [i] | ||
| 100 | Linear OA(767, 355, F7, 25) (dual of [355, 288, 26]-code) | [i] | ||
| 101 | Linear OA(755, 355, F7, 20) (dual of [355, 300, 21]-code) | [i] | ||
| 102 | Linear OA(752, 355, F7, 19) (dual of [355, 303, 20]-code) | [i] | ||
| 103 | Linear OA(749, 355, F7, 18) (dual of [355, 306, 19]-code) | [i] | ||
| 104 | Linear OA(737, 355, F7, 13) (dual of [355, 318, 14]-code) | [i] | ||
| 105 | Linear OA(734, 355, F7, 12) (dual of [355, 321, 13]-code) | [i] | ||
| 106 | Linear OA(731, 355, F7, 11) (dual of [355, 324, 12]-code) | [i] | ||
| 107 | Linear OA(719, 355, F7, 6) (dual of [355, 336, 7]-code) | [i] | ||
| 108 | Linear OA(759, 127, F7, 25) (dual of [127, 68, 26]-code) | [i] | ||
| 109 | Linear OA(778, 5764831, F7, 11) (dual of [5764831, 5764753, 12]-code) | [i] | Construction XX with a Chain of Extended Narrow-Sense BCH Codes | |
| 110 | Linear OA(769, 823570, F7, 11) (dual of [823570, 823501, 12]-code) | [i] | ||
| 111 | Linear OA(796, 117673, F7, 18) (dual of [117673, 117577, 19]-code) | [i] | ||
| 112 | Linear OA(760, 117673, F7, 11) (dual of [117673, 117613, 12]-code) | [i] | ||
| 113 | Linear OA(781, 16828, F7, 18) (dual of [16828, 16747, 19]-code) | [i] | ||
| 114 | Linear OA(751, 16828, F7, 11) (dual of [16828, 16777, 12]-code) | [i] | ||
| 115 | Linear OA(790, 2419, F7, 25) (dual of [2419, 2329, 26]-code) | [i] | ||
| 116 | Linear OA(766, 2419, F7, 18) (dual of [2419, 2353, 19]-code) | [i] | ||
| 117 | Linear OA(7105, 358, F7, 39) (dual of [358, 253, 40]-code) | [i] | ||
| 118 | Linear OA(787, 358, F7, 32) (dual of [358, 271, 33]-code) | [i] | ||
| 119 | Linear OA(769, 358, F7, 25) (dual of [358, 289, 26]-code) | [i] | ||
| 120 | Linear OA(751, 358, F7, 18) (dual of [358, 307, 19]-code) | [i] | ||
| 121 | Linear OA(733, 358, F7, 11) (dual of [358, 325, 12]-code) | [i] | ||
| 122 | Linear OA(799, 184, F7, 43) (dual of [184, 85, 44]-code) | [i] | ||
| 123 | Linear OA(784, 184, F7, 36) (dual of [184, 100, 37]-code) | [i] | ||