Information on Result #606339
Linear OA(72, 7, F7, 2) (dual of [7, 5, 3]-code or 7-arc in PG(1,7)), using Reed–Solomon code RS(5,7)
Mode: Constructive and linear.
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(722, 28, F7, 15) (dual of [28, 6, 16]-code) | [i] | Generalized (u, u+v)-Construction | |
| 2 | Linear OA(722, 28, F7, 15) (dual of [28, 6, 16]-code) | [i] | ||
| 3 | Linear OA(721, 28, F7, 14) (dual of [28, 7, 15]-code) | [i] | ||
| 4 | Linear OA(721, 28, F7, 14) (dual of [28, 7, 15]-code) | [i] | ||
| 5 | Linear OA(721, 28, F7, 14) (dual of [28, 7, 15]-code) | [i] | ||
| 6 | Linear OA(720, 28, F7, 13) (dual of [28, 8, 14]-code) | [i] | ||
| 7 | Linear OA(720, 28, F7, 13) (dual of [28, 8, 14]-code) | [i] | ||
| 8 | Linear OA(721, 30, F7, 14) (dual of [30, 9, 15]-code) | [i] | ||
| 9 | Linear OA(721, 30, F7, 14) (dual of [30, 9, 15]-code) | [i] | ||
| 10 | Linear OA(719, 25, F7, 14) (dual of [25, 6, 15]-code) | [i] | ||
| 11 | Linear OA(767, 72, F7, 51) (dual of [72, 5, 52]-code) | [i] | Juxtaposition | |
| 12 | Linear OA(752, 56, F7, 44) (dual of [56, 4, 45]-code) | [i] | ||
| 13 | Linear OA(757, 61, F7, 46) (dual of [61, 4, 47]-code) | [i] | ||
| 14 | Linear OA(758, 62, F7, 47) (dual of [62, 4, 48]-code) | [i] | ||
| 15 | Linear OA(7102, 106, F7, 86) (dual of [106, 4, 87]-code) | [i] | ||
| 16 | Linear OA(752, 64, F7, 32) (dual of [64, 12, 33]-code) | [i] | Concatenation of Two Codes | |
| 17 | Linear OA(756, 68, F7, 35) (dual of [68, 12, 36]-code) | [i] | ||
| 18 | Linear OA(754, 64, F7, 35) (dual of [64, 10, 36]-code) | [i] | ||
| 19 | Linear OA(752, 60, F7, 35) (dual of [60, 8, 36]-code) | [i] | ||
| 20 | Linear OA(762, 76, F7, 38) (dual of [76, 14, 39]-code) | [i] | ||
| 21 | Linear OA(760, 72, F7, 38) (dual of [72, 12, 39]-code) | [i] | ||
| 22 | Linear OA(758, 68, F7, 38) (dual of [68, 10, 39]-code) | [i] | ||
| 23 | Linear OA(756, 64, F7, 38) (dual of [64, 8, 39]-code) | [i] | ||
| 24 | Linear OA(766, 80, F7, 41) (dual of [80, 14, 42]-code) | [i] | ||
| 25 | Linear OA(764, 76, F7, 41) (dual of [76, 12, 42]-code) | [i] | ||
| 26 | Linear OA(762, 72, F7, 41) (dual of [72, 10, 42]-code) | [i] | ||
| 27 | Linear OA(760, 68, F7, 41) (dual of [68, 8, 42]-code) | [i] | ||
| 28 | Linear OA(772, 88, F7, 44) (dual of [88, 16, 45]-code) | [i] | ||
| 29 | Linear OA(770, 84, F7, 44) (dual of [84, 14, 45]-code) | [i] | ||
| 30 | Linear OA(768, 80, F7, 44) (dual of [80, 12, 45]-code) | [i] | ||
| 31 | Linear OA(766, 76, F7, 44) (dual of [76, 10, 45]-code) | [i] | ||
| 32 | Linear OA(764, 72, F7, 44) (dual of [72, 8, 45]-code) | [i] | ||
| 33 | Linear OA(776, 92, F7, 47) (dual of [92, 16, 48]-code) | [i] | ||
| 34 | Linear OA(774, 88, F7, 47) (dual of [88, 14, 48]-code) | [i] | ||
| 35 | Linear OA(772, 84, F7, 47) (dual of [84, 12, 48]-code) | [i] | ||
| 36 | Linear OA(770, 80, F7, 47) (dual of [80, 10, 48]-code) | [i] | ||
| 37 | Linear OA(768, 76, F7, 47) (dual of [76, 8, 48]-code) | [i] | ||
| 38 | Linear OA(782, 100, F7, 50) (dual of [100, 18, 51]-code) | [i] | ||
| 39 | Linear OA(780, 96, F7, 50) (dual of [96, 16, 51]-code) | [i] | ||
| 40 | Linear OA(778, 92, F7, 50) (dual of [92, 14, 51]-code) | [i] | ||
| 41 | Linear OA(776, 88, F7, 50) (dual of [88, 12, 51]-code) | [i] | ||
| 42 | Linear OA(774, 84, F7, 50) (dual of [84, 10, 51]-code) | [i] | ||
| 43 | Linear OA(772, 80, F7, 50) (dual of [80, 8, 51]-code) | [i] | ||
| 44 | Linear OA(786, 104, F7, 53) (dual of [104, 18, 54]-code) | [i] | ||
| 45 | Linear OA(784, 100, F7, 53) (dual of [100, 16, 54]-code) | [i] | ||
| 46 | Linear OA(782, 96, F7, 53) (dual of [96, 14, 54]-code) | [i] | ||
| 47 | Linear OA(780, 92, F7, 53) (dual of [92, 12, 54]-code) | [i] | ||
| 48 | Linear OA(778, 88, F7, 53) (dual of [88, 10, 54]-code) | [i] | ||
| 49 | Linear OA(790, 108, F7, 56) (dual of [108, 18, 57]-code) | [i] | ||
| 50 | Linear OA(788, 104, F7, 56) (dual of [104, 16, 57]-code) | [i] | ||
| 51 | Linear OA(786, 100, F7, 56) (dual of [100, 14, 57]-code) | [i] | ||
| 52 | Linear OA(784, 96, F7, 56) (dual of [96, 12, 57]-code) | [i] | ||
| 53 | Linear OA(782, 92, F7, 56) (dual of [92, 10, 57]-code) | [i] | ||
| 54 | Linear OA(796, 116, F7, 59) (dual of [116, 20, 60]-code) | [i] | ||
| 55 | Linear OA(794, 112, F7, 59) (dual of [112, 18, 60]-code) | [i] | ||
| 56 | Linear OA(792, 108, F7, 59) (dual of [108, 16, 60]-code) | [i] | ||
| 57 | Linear OA(790, 104, F7, 59) (dual of [104, 14, 60]-code) | [i] | ||
| 58 | Linear OA(788, 100, F7, 59) (dual of [100, 12, 60]-code) | [i] | ||
| 59 | Linear OA(786, 96, F7, 59) (dual of [96, 10, 60]-code) | [i] | ||
| 60 | Linear OA(7102, 124, F7, 62) (dual of [124, 22, 63]-code) | [i] | ||
| 61 | Linear OA(7100, 120, F7, 62) (dual of [120, 20, 63]-code) | [i] | ||
| 62 | Linear OA(798, 116, F7, 62) (dual of [116, 18, 63]-code) | [i] | ||
| 63 | Linear OA(796, 112, F7, 62) (dual of [112, 16, 63]-code) | [i] | ||
| 64 | Linear OA(794, 108, F7, 62) (dual of [108, 14, 63]-code) | [i] | ||
| 65 | Linear OA(792, 104, F7, 62) (dual of [104, 12, 63]-code) | [i] | ||
| 66 | Linear OA(790, 100, F7, 62) (dual of [100, 10, 63]-code) | [i] | ||
| 67 | Linear OA(7106, 128, F7, 65) (dual of [128, 22, 66]-code) | [i] | ||
| 68 | Linear OA(7104, 124, F7, 65) (dual of [124, 20, 66]-code) | [i] | ||
| 69 | Linear OA(7102, 120, F7, 65) (dual of [120, 18, 66]-code) | [i] | ||
| 70 | Linear OA(7100, 116, F7, 65) (dual of [116, 16, 66]-code) | [i] | ||
| 71 | Linear OA(798, 112, F7, 65) (dual of [112, 14, 66]-code) | [i] | ||
| 72 | Linear OA(796, 108, F7, 65) (dual of [108, 12, 66]-code) | [i] | ||
| 73 | Linear OA(794, 104, F7, 65) (dual of [104, 10, 66]-code) | [i] | ||
| 74 | Linear OA(7110, 132, F7, 68) (dual of [132, 22, 69]-code) | [i] | ||
| 75 | Linear OA(7108, 128, F7, 68) (dual of [128, 20, 69]-code) | [i] | ||
| 76 | Linear OA(7106, 124, F7, 68) (dual of [124, 18, 69]-code) | [i] | ||
| 77 | Linear OA(7104, 120, F7, 68) (dual of [120, 16, 69]-code) | [i] | ||
| 78 | Linear OA(7102, 116, F7, 68) (dual of [116, 14, 69]-code) | [i] | ||
| 79 | Linear OA(7100, 112, F7, 68) (dual of [112, 12, 69]-code) | [i] | ||
| 80 | Linear OA(798, 108, F7, 68) (dual of [108, 10, 69]-code) | [i] | ||
| 81 | Linear OA(7110, 128, F7, 71) (dual of [128, 18, 72]-code) | [i] | ||
| 82 | Linear OA(7108, 124, F7, 71) (dual of [124, 16, 72]-code) | [i] | ||
| 83 | Linear OA(7106, 120, F7, 71) (dual of [120, 14, 72]-code) | [i] | ||
| 84 | Linear OA(7104, 116, F7, 71) (dual of [116, 12, 72]-code) | [i] | ||
| 85 | Linear OA(7102, 112, F7, 71) (dual of [112, 10, 72]-code) | [i] | ||
| 86 | Linear OA(7110, 124, F7, 74) (dual of [124, 14, 75]-code) | [i] | ||
| 87 | Linear OA(7108, 120, F7, 74) (dual of [120, 12, 75]-code) | [i] | ||
| 88 | Linear OA(7106, 116, F7, 74) (dual of [116, 10, 75]-code) | [i] | ||
| 89 | Linear OA(7110, 120, F7, 77) (dual of [120, 10, 78]-code) | [i] | ||
| 90 | Linear OA(740, 55, F7, 27) (dual of [55, 15, 28]-code) | [i] | Construction X with Cyclic Codes | |
| 91 | Linear OA(739, 55, F7, 26) (dual of [55, 16, 27]-code) | [i] | ||
| 92 | Linear OA(745, 54, F7, 34) (dual of [54, 9, 35]-code) | [i] | ||
| 93 | Linear OA(738, 54, F7, 26) (dual of [54, 16, 27]-code) | [i] | ||
| 94 | Linear OA(722, 28, F7, 16) (dual of [28, 6, 17]-code) | [i] | ||
| 95 | Linear OA(721, 28, F7, 15) (dual of [28, 7, 16]-code) | [i] | ||
| 96 | Linear OA(752, 120, F7, 24) (dual of [120, 68, 25]-code) | [i] | ||
| 97 | Linear OA(767, 120, F7, 31) (dual of [120, 53, 32]-code) | [i] | ||
| 98 | Linear OA(784, 406, F7, 26) (dual of [406, 322, 27]-code) | [i] | ||
| 99 | Linear OA(740, 56, F7, 27) (dual of [56, 16, 28]-code) | [i] | Construction XX with Cyclic Codes | |
| 100 | Linear OA(722, 29, F7, 16) (dual of [29, 7, 17]-code) | [i] | ||
| 101 | Linear OA(720, 30, F7, 13) (dual of [30, 10, 14]-code) | [i] | ||
| 102 | Linear OA(718, 55, F7, 10) (dual of [55, 37, 11]-code) | [i] | ||
| 103 | Linear OA(721, 58, F7, 11) (dual of [58, 37, 12]-code) | [i] | ||
| 104 | Linear OA(723, 59, F7, 12) (dual of [59, 36, 13]-code) | [i] | ||
| 105 | Linear OA(733, 62, F7, 18) (dual of [62, 29, 19]-code) | [i] | ||
| 106 | Linear OA(736, 65, F7, 19) (dual of [65, 29, 20]-code) | [i] | ||
| 107 | Linear OA(735, 63, F7, 19) (dual of [63, 28, 20]-code) | [i] | ||
| 108 | Linear OA(734, 61, F7, 19) (dual of [61, 27, 20]-code) | [i] | ||
| 109 | Linear OA(734, 59, F7, 20) (dual of [59, 25, 21]-code) | [i] | ||
| 110 | Linear OA(750, 75, F7, 27) (dual of [75, 25, 28]-code) | [i] | ||
| 111 | Linear OA(752, 75, F7, 28) (dual of [75, 23, 29]-code) | [i] | ||
| 112 | Linear OA(750, 71, F7, 28) (dual of [71, 21, 29]-code) | [i] | ||
| 113 | Linear OA(743, 63, F7, 26) (dual of [63, 20, 27]-code) | [i] | ||
| 114 | Linear OA(746, 66, F7, 27) (dual of [66, 20, 28]-code) | [i] | ||
| 115 | Linear OA(745, 63, F7, 27) (dual of [63, 18, 28]-code) | [i] | ||
| 116 | Linear OA(744, 62, F7, 27) (dual of [62, 18, 28]-code) | [i] | ||
| 117 | Linear OA(743, 59, F7, 28) (dual of [59, 16, 29]-code) | [i] | ||
| 118 | Linear OA(751, 63, F7, 34) (dual of [63, 12, 35]-code) | [i] | ||
| 119 | Linear OA(751, 61, F7, 35) (dual of [61, 10, 36]-code) | [i] | ||
| 120 | Linear OA(752, 128, F7, 21) (dual of [128, 76, 22]-code) | [i] | ||
| 121 | Linear OA(751, 126, F7, 21) (dual of [126, 75, 22]-code) | [i] | ||
| 122 | Linear OA(753, 128, F7, 22) (dual of [128, 75, 23]-code) | [i] | ||
| 123 | Linear OA(754, 126, F7, 24) (dual of [126, 72, 25]-code) | [i] | ||
| 124 | Linear OA(754, 126, F7, 24) (dual of [126, 72, 25]-code) | [i] | ||
| 125 | Linear OA(759, 131, F7, 25) (dual of [131, 72, 26]-code) | [i] | ||
| 126 | Linear OA(758, 128, F7, 25) (dual of [128, 70, 26]-code) | [i] | ||
| 127 | Linear OA(753, 124, F7, 24) (dual of [124, 71, 25]-code) | [i] | ||
| 128 | Linear OA(757, 128, F7, 25) (dual of [128, 71, 26]-code) | [i] | ||
| 129 | Linear OA(755, 123, F7, 25) (dual of [123, 68, 26]-code) | [i] | ||
| 130 | Linear OA(759, 127, F7, 26) (dual of [127, 68, 27]-code) | [i] | ||
| 131 | Linear OA(768, 124, F7, 31) (dual of [124, 56, 32]-code) | [i] | ||
| 132 | Linear OA(728, 355, F7, 10) (dual of [355, 327, 11]-code) | [i] | ||
| 133 | Linear OA(737, 364, F7, 12) (dual of [364, 327, 13]-code) | [i] | ||
| 134 | Linear OA(788, 410, F7, 27) (dual of [410, 322, 28]-code) | [i] | ||
| 135 | Linear OA(745, 120, F7, 19) (dual of [120, 75, 20]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 136 | Linear OA(799, 121, F7, 60) (dual of [121, 22, 61]-code) | [i] | ||
| 137 | Linear OA(780, 121, F7, 41) (dual of [121, 41, 42]-code) | [i] | ||
| 138 | Linear OA(749, 121, F7, 22) (dual of [121, 72, 23]-code) | [i] | ||
| 139 | Linear OA(726, 53, F7, 16) (dual of [53, 27, 17]-code) | [i] | ||
| 140 | Linear OA(716, 54, F7, 9) (dual of [54, 38, 10]-code) | [i] | ||
| 141 | Linear OA(715, 55, F7, 8) (dual of [55, 40, 9]-code) | [i] | ||
| 142 | Linear OA(720, 56, F7, 11) (dual of [56, 36, 12]-code) | [i] | ||
| 143 | Linear OA(753, 127, F7, 22) (dual of [127, 74, 23]-code) | [i] | Construction XX with a Chain of Extended Narrow-Sense BCH Codes | |
| 144 | Linear OA(752, 125, F7, 22) (dual of [125, 73, 23]-code) | [i] | ||
| 145 | Linear OA(751, 68, F7, 32) (dual of [68, 17, 33]-code) | [i] | Construction X with Varšamov Bound | |