Information on Result #606335
Linear OA(52, 5, F5, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,5)), using Reed–Solomon code RS(3,5)
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(536, 44, F5, 23) (dual of [44, 8, 24]-code) | [i] | Concatenation of Two Codes | |
| 2 | Linear OA(540, 48, F5, 26) (dual of [48, 8, 27]-code) | [i] | ||
| 3 | Linear OA(538, 44, F5, 26) (dual of [44, 6, 27]-code) | [i] | ||
| 4 | Linear OA(546, 56, F5, 29) (dual of [56, 10, 30]-code) | [i] | ||
| 5 | Linear OA(544, 52, F5, 29) (dual of [52, 8, 30]-code) | [i] | ||
| 6 | Linear OA(542, 48, F5, 29) (dual of [48, 6, 30]-code) | [i] | ||
| 7 | Linear OA(548, 56, F5, 32) (dual of [56, 8, 33]-code) | [i] | ||
| 8 | Linear OA(546, 52, F5, 32) (dual of [52, 6, 33]-code) | [i] | ||
| 9 | Linear OA(568, 92, F5, 35) (dual of [92, 24, 36]-code) | [i] | ||
| 10 | Linear OA(566, 88, F5, 35) (dual of [88, 22, 36]-code) | [i] | ||
| 11 | Linear OA(564, 84, F5, 35) (dual of [84, 20, 36]-code) | [i] | ||
| 12 | Linear OA(556, 68, F5, 35) (dual of [68, 12, 36]-code) | [i] | ||
| 13 | Linear OA(554, 64, F5, 35) (dual of [64, 10, 36]-code) | [i] | ||
| 14 | Linear OA(552, 60, F5, 35) (dual of [60, 8, 36]-code) | [i] | ||
| 15 | Linear OA(550, 56, F5, 35) (dual of [56, 6, 36]-code) | [i] | ||
| 16 | Linear OA(572, 96, F5, 38) (dual of [96, 24, 39]-code) | [i] | ||
| 17 | Linear OA(570, 92, F5, 38) (dual of [92, 22, 39]-code) | [i] | ||
| 18 | Linear OA(568, 88, F5, 38) (dual of [88, 20, 39]-code) | [i] | ||
| 19 | Linear OA(566, 84, F5, 38) (dual of [84, 18, 39]-code) | [i] | ||
| 20 | Linear OA(564, 80, F5, 38) (dual of [80, 16, 39]-code) | [i] | ||
| 21 | Linear OA(562, 76, F5, 38) (dual of [76, 14, 39]-code) | [i] | ||
| 22 | Linear OA(560, 72, F5, 38) (dual of [72, 12, 39]-code) | [i] | ||
| 23 | Linear OA(558, 68, F5, 38) (dual of [68, 10, 39]-code) | [i] | ||
| 24 | Linear OA(556, 64, F5, 38) (dual of [64, 8, 39]-code) | [i] | ||
| 25 | Linear OA(554, 60, F5, 38) (dual of [60, 6, 39]-code) | [i] | ||
| 26 | Linear OA(576, 100, F5, 41) (dual of [100, 24, 42]-code) | [i] | ||
| 27 | Linear OA(574, 96, F5, 41) (dual of [96, 22, 42]-code) | [i] | ||
| 28 | Linear OA(572, 92, F5, 41) (dual of [92, 20, 42]-code) | [i] | ||
| 29 | Linear OA(570, 88, F5, 41) (dual of [88, 18, 42]-code) | [i] | ||
| 30 | Linear OA(568, 84, F5, 41) (dual of [84, 16, 42]-code) | [i] | ||
| 31 | Linear OA(566, 80, F5, 41) (dual of [80, 14, 42]-code) | [i] | ||
| 32 | Linear OA(564, 76, F5, 41) (dual of [76, 12, 42]-code) | [i] | ||
| 33 | Linear OA(562, 72, F5, 41) (dual of [72, 10, 42]-code) | [i] | ||
| 34 | Linear OA(560, 68, F5, 41) (dual of [68, 8, 42]-code) | [i] | ||
| 35 | Linear OA(558, 64, F5, 41) (dual of [64, 6, 42]-code) | [i] | ||
| 36 | Linear OA(578, 100, F5, 44) (dual of [100, 22, 45]-code) | [i] | ||
| 37 | Linear OA(576, 96, F5, 44) (dual of [96, 20, 45]-code) | [i] | ||
| 38 | Linear OA(574, 92, F5, 44) (dual of [92, 18, 45]-code) | [i] | ||
| 39 | Linear OA(572, 88, F5, 44) (dual of [88, 16, 45]-code) | [i] | ||
| 40 | Linear OA(570, 84, F5, 44) (dual of [84, 14, 45]-code) | [i] | ||
| 41 | Linear OA(568, 80, F5, 44) (dual of [80, 12, 45]-code) | [i] | ||
| 42 | Linear OA(566, 76, F5, 44) (dual of [76, 10, 45]-code) | [i] | ||
| 43 | Linear OA(564, 72, F5, 44) (dual of [72, 8, 45]-code) | [i] | ||
| 44 | Linear OA(562, 68, F5, 44) (dual of [68, 6, 45]-code) | [i] | ||
| 45 | Linear OA(582, 104, F5, 47) (dual of [104, 22, 48]-code) | [i] | ||
| 46 | Linear OA(580, 100, F5, 47) (dual of [100, 20, 48]-code) | [i] | ||
| 47 | Linear OA(578, 96, F5, 47) (dual of [96, 18, 48]-code) | [i] | ||
| 48 | Linear OA(576, 92, F5, 47) (dual of [92, 16, 48]-code) | [i] | ||
| 49 | Linear OA(574, 88, F5, 47) (dual of [88, 14, 48]-code) | [i] | ||
| 50 | Linear OA(572, 84, F5, 47) (dual of [84, 12, 48]-code) | [i] | ||
| 51 | Linear OA(570, 80, F5, 47) (dual of [80, 10, 48]-code) | [i] | ||
| 52 | Linear OA(568, 76, F5, 47) (dual of [76, 8, 48]-code) | [i] | ||
| 53 | Linear OA(566, 72, F5, 47) (dual of [72, 6, 48]-code) | [i] | ||
| 54 | Linear OA(584, 104, F5, 50) (dual of [104, 20, 51]-code) | [i] | ||
| 55 | Linear OA(582, 100, F5, 50) (dual of [100, 18, 51]-code) | [i] | ||
| 56 | Linear OA(580, 96, F5, 50) (dual of [96, 16, 51]-code) | [i] | ||
| 57 | Linear OA(578, 92, F5, 50) (dual of [92, 14, 51]-code) | [i] | ||
| 58 | Linear OA(576, 88, F5, 50) (dual of [88, 12, 51]-code) | [i] | ||
| 59 | Linear OA(574, 84, F5, 50) (dual of [84, 10, 51]-code) | [i] | ||
| 60 | Linear OA(572, 80, F5, 50) (dual of [80, 8, 51]-code) | [i] | ||
| 61 | Linear OA(570, 76, F5, 50) (dual of [76, 6, 51]-code) | [i] | ||
| 62 | Linear OA(586, 104, F5, 53) (dual of [104, 18, 54]-code) | [i] | ||
| 63 | Linear OA(584, 100, F5, 53) (dual of [100, 16, 54]-code) | [i] | ||
| 64 | Linear OA(582, 96, F5, 53) (dual of [96, 14, 54]-code) | [i] | ||
| 65 | Linear OA(580, 92, F5, 53) (dual of [92, 12, 54]-code) | [i] | ||
| 66 | Linear OA(578, 88, F5, 53) (dual of [88, 10, 54]-code) | [i] | ||
| 67 | Linear OA(576, 84, F5, 53) (dual of [84, 8, 54]-code) | [i] | ||
| 68 | Linear OA(588, 104, F5, 56) (dual of [104, 16, 57]-code) | [i] | ||
| 69 | Linear OA(586, 100, F5, 56) (dual of [100, 14, 57]-code) | [i] | ||
| 70 | Linear OA(584, 96, F5, 56) (dual of [96, 12, 57]-code) | [i] | ||
| 71 | Linear OA(582, 92, F5, 56) (dual of [92, 10, 57]-code) | [i] | ||
| 72 | Linear OA(590, 104, F5, 59) (dual of [104, 14, 60]-code) | [i] | ||
| 73 | Linear OA(588, 100, F5, 59) (dual of [100, 12, 60]-code) | [i] | ||
| 74 | Linear OA(586, 96, F5, 59) (dual of [96, 10, 60]-code) | [i] | ||
| 75 | Linear OA(592, 104, F5, 62) (dual of [104, 12, 63]-code) | [i] | ||
| 76 | Linear OA(590, 100, F5, 62) (dual of [100, 10, 63]-code) | [i] | ||
| 77 | Linear OA(594, 104, F5, 65) (dual of [104, 10, 66]-code) | [i] | ||
| 78 | Linear OA(5122, 140, F5, 71) (dual of [140, 18, 72]-code) | [i] | ||
| 79 | Linear OA(5120, 136, F5, 71) (dual of [136, 16, 72]-code) | [i] | ||
| 80 | Linear OA(5134, 160, F5, 74) (dual of [160, 26, 75]-code) | [i] | ||
| 81 | Linear OA(5128, 148, F5, 74) (dual of [148, 20, 75]-code) | [i] | ||
| 82 | Linear OA(5126, 144, F5, 74) (dual of [144, 18, 75]-code) | [i] | ||
| 83 | Linear OA(5124, 140, F5, 74) (dual of [140, 16, 75]-code) | [i] | ||
| 84 | Linear OA(5120, 132, F5, 74) (dual of [132, 12, 75]-code) | [i] | ||
| 85 | Linear OA(5138, 164, F5, 77) (dual of [164, 26, 78]-code) | [i] | ||
| 86 | Linear OA(5136, 160, F5, 77) (dual of [160, 24, 78]-code) | [i] | ||
| 87 | Linear OA(5132, 152, F5, 77) (dual of [152, 20, 78]-code) | [i] | ||
| 88 | Linear OA(5130, 148, F5, 77) (dual of [148, 18, 78]-code) | [i] | ||
| 89 | Linear OA(5128, 144, F5, 77) (dual of [144, 16, 78]-code) | [i] | ||
| 90 | Linear OA(5124, 136, F5, 77) (dual of [136, 12, 78]-code) | [i] | ||
| 91 | Linear OA(5122, 132, F5, 77) (dual of [132, 10, 78]-code) | [i] | ||
| 92 | Linear OA(5144, 172, F5, 80) (dual of [172, 28, 81]-code) | [i] | ||
| 93 | Linear OA(5142, 168, F5, 80) (dual of [168, 26, 81]-code) | [i] | ||
| 94 | Linear OA(5140, 164, F5, 80) (dual of [164, 24, 81]-code) | [i] | ||
| 95 | Linear OA(5138, 160, F5, 80) (dual of [160, 22, 81]-code) | [i] | ||
| 96 | Linear OA(5132, 148, F5, 80) (dual of [148, 16, 81]-code) | [i] | ||
| 97 | Linear OA(5126, 136, F5, 80) (dual of [136, 10, 81]-code) | [i] | ||
| 98 | Linear OA(5148, 176, F5, 83) (dual of [176, 28, 84]-code) | [i] | ||
| 99 | Linear OA(5146, 172, F5, 83) (dual of [172, 26, 84]-code) | [i] | ||
| 100 | Linear OA(5144, 168, F5, 83) (dual of [168, 24, 84]-code) | [i] | ||
| 101 | Linear OA(5142, 164, F5, 83) (dual of [164, 22, 84]-code) | [i] | ||
| 102 | Linear OA(5136, 152, F5, 83) (dual of [152, 16, 84]-code) | [i] | ||
| 103 | Linear OA(5150, 176, F5, 86) (dual of [176, 26, 87]-code) | [i] | ||
| 104 | Linear OA(5148, 172, F5, 86) (dual of [172, 24, 87]-code) | [i] | ||
| 105 | Linear OA(5146, 168, F5, 86) (dual of [168, 22, 87]-code) | [i] | ||
| 106 | Linear OA(5144, 164, F5, 86) (dual of [164, 20, 87]-code) | [i] | ||
| 107 | Linear OA(5142, 160, F5, 86) (dual of [160, 18, 87]-code) | [i] | ||
| 108 | Linear OA(5140, 156, F5, 86) (dual of [156, 16, 87]-code) | [i] | ||
| 109 | Linear OA(5150, 172, F5, 89) (dual of [172, 22, 90]-code) | [i] | ||
| 110 | Linear OA(5148, 168, F5, 89) (dual of [168, 20, 90]-code) | [i] | ||
| 111 | Linear OA(5146, 164, F5, 89) (dual of [164, 18, 90]-code) | [i] | ||
| 112 | Linear OA(5150, 168, F5, 92) (dual of [168, 18, 93]-code) | [i] | ||
| 113 | Linear OA(5150, 164, F5, 95) (dual of [164, 14, 96]-code) | [i] | ||
| 114 | Linear OA(5148, 160, F5, 95) (dual of [160, 12, 96]-code) | [i] | ||
| 115 | Linear OA(5122, 144, F5, 74) (dual of [144, 22, 75]-code) | [i] | ||
| 116 | Linear OA(5118, 136, F5, 74) (dual of [136, 18, 75]-code) | [i] | ||
| 117 | Linear OA(5124, 144, F5, 77) (dual of [144, 20, 78]-code) | [i] | ||
| 118 | Linear OA(5122, 140, F5, 77) (dual of [140, 18, 78]-code) | [i] | ||
| 119 | Linear OA(5126, 144, F5, 80) (dual of [144, 18, 81]-code) | [i] | ||
| 120 | Linear OA(5146, 168, F5, 89) (dual of [168, 22, 90]-code) | [i] | ||
| 121 | Linear OA(5144, 164, F5, 89) (dual of [164, 20, 90]-code) | [i] | ||
| 122 | Linear OA(5150, 172, F5, 92) (dual of [172, 22, 93]-code) | [i] | ||
| 123 | Linear OA(5148, 168, F5, 92) (dual of [168, 20, 93]-code) | [i] | ||
| 124 | Linear OA(5146, 164, F5, 92) (dual of [164, 18, 93]-code) | [i] | ||
| 125 | Linear OA(5150, 168, F5, 95) (dual of [168, 18, 96]-code) | [i] | ||
| 126 | Linear OA(5148, 164, F5, 95) (dual of [164, 16, 96]-code) | [i] | ||
| 127 | Linear OOA(5142, 92, F5, 2, 77) (dual of [(92, 2), 42, 78]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 128 | Linear OOA(5148, 96, F5, 2, 80) (dual of [(96, 2), 44, 81]-NRT-code) | [i] | ||
| 129 | Linear OOA(5144, 92, F5, 2, 80) (dual of [(92, 2), 40, 81]-NRT-code) | [i] | ||
| 130 | Linear OOA(5150, 96, F5, 2, 83) (dual of [(96, 2), 42, 84]-NRT-code) | [i] | ||
| 131 | Linear OOA(5146, 92, F5, 2, 83) (dual of [(92, 2), 38, 84]-NRT-code) | [i] | ||
| 132 | Linear OOA(5148, 92, F5, 2, 86) (dual of [(92, 2), 36, 87]-NRT-code) | [i] | ||
| 133 | Linear OOA(5150, 92, F5, 2, 89) (dual of [(92, 2), 34, 90]-NRT-code) | [i] | ||
| 134 | Linear OOA(5146, 88, F5, 2, 89) (dual of [(88, 2), 30, 90]-NRT-code) | [i] | ||
| 135 | Linear OOA(5148, 88, F5, 2, 92) (dual of [(88, 2), 28, 93]-NRT-code) | [i] | ||
| 136 | Linear OOA(5150, 88, F5, 2, 95) (dual of [(88, 2), 26, 96]-NRT-code) | [i] | ||
| 137 | Linear OOA(5150, 84, F5, 2, 101) (dual of [(84, 2), 18, 102]-NRT-code) | [i] | ||
| 138 | Linear OA(521, 36, F5, 12) (dual of [36, 15, 13]-code) | [i] | Construction X with Cyclic Codes | |
| 139 | Linear OA(522, 38, F5, 12) (dual of [38, 16, 13]-code) | [i] | Construction XX with Cyclic Codes | |
| 140 | Linear OA(515, 33, F5, 8) (dual of [33, 18, 9]-code) | [i] | ||
| 141 | Linear OA(514, 31, F5, 8) (dual of [31, 17, 9]-code) | [i] | ||
| 142 | Linear OA(531, 39, F5, 20) (dual of [39, 8, 21]-code) | [i] | ||
| 143 | Linear OA(559, 72, F5, 37) (dual of [72, 13, 38]-code) | [i] | ||
| 144 | Linear OA(559, 72, F5, 37) (dual of [72, 13, 38]-code) | [i] | ||
| 145 | Linear OA(587, 156, F5, 36) (dual of [156, 69, 37]-code) | [i] | ||
| 146 | Linear OA(591, 157, F5, 38) (dual of [157, 66, 39]-code) | [i] | ||
| 147 | Linear OA(577, 134, F5, 38) (dual of [134, 57, 39]-code) | [i] | ||
| 148 | Linear OA(576, 132, F5, 38) (dual of [132, 56, 39]-code) | [i] | ||
| 149 | Linear OA(589, 146, F5, 42) (dual of [146, 57, 43]-code) | [i] | ||
| 150 | Linear OA(586, 143, F5, 40) (dual of [143, 57, 41]-code) | [i] | ||
| 151 | Linear OA(598, 155, F5, 44) (dual of [155, 57, 45]-code) | [i] | ||
| 152 | Linear OA(5105, 158, F5, 47) (dual of [158, 53, 48]-code) | [i] | ||
| 153 | Linear OA(580, 136, F5, 39) (dual of [136, 56, 40]-code) | [i] | ||
| 154 | Linear OA(588, 144, F5, 42) (dual of [144, 56, 43]-code) | [i] | ||
| 155 | Linear OA(586, 142, F5, 41) (dual of [142, 56, 42]-code) | [i] | ||
| 156 | Linear OA(592, 148, F5, 43) (dual of [148, 56, 44]-code) | [i] | ||
| 157 | Linear OA(5104, 158, F5, 46) (dual of [158, 54, 47]-code) | [i] | ||
| 158 | Linear OA(5101, 155, F5, 45) (dual of [155, 54, 46]-code) | [i] | ||
| 159 | Linear OA(5104, 157, F5, 47) (dual of [157, 53, 48]-code) | [i] | ||
| 160 | Linear OA(5103, 156, F5, 47) (dual of [156, 53, 48]-code) | [i] | ||
| 161 | Linear OA(5101, 154, F5, 46) (dual of [154, 53, 47]-code) | [i] | ||
| 162 | Linear OA(586, 134, F5, 43) (dual of [134, 48, 44]-code) | [i] | ||
| 163 | Linear OA(585, 132, F5, 43) (dual of [132, 47, 44]-code) | [i] | ||
| 164 | Linear OA(598, 146, F5, 47) (dual of [146, 48, 48]-code) | [i] | ||
| 165 | Linear OA(595, 143, F5, 45) (dual of [143, 48, 46]-code) | [i] | ||
| 166 | Linear OA(589, 136, F5, 44) (dual of [136, 47, 45]-code) | [i] | ||
| 167 | Linear OA(597, 144, F5, 47) (dual of [144, 47, 48]-code) | [i] | ||
| 168 | Linear OA(595, 142, F5, 46) (dual of [142, 47, 47]-code) | [i] | ||
| 169 | Linear OA(5101, 148, F5, 48) (dual of [148, 47, 49]-code) | [i] | ||
| 170 | Linear OA(595, 134, F5, 48) (dual of [134, 39, 49]-code) | [i] | ||
| 171 | Linear OA(594, 132, F5, 48) (dual of [132, 38, 49]-code) | [i] | ||
| 172 | Linear OA(598, 136, F5, 49) (dual of [136, 38, 50]-code) | [i] | ||
| 173 | Linear OA(591, 130, F5, 47) (dual of [130, 39, 48]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 174 | Linear OA(582, 130, F5, 42) (dual of [130, 48, 43]-code) | [i] | ||
| 175 | Linear OA(573, 130, F5, 37) (dual of [130, 57, 38]-code) | [i] | ||
| 176 | Linear OA(518, 29, F5, 12) (dual of [29, 11, 13]-code) | [i] | ||
| 177 | Linear OA(512, 30, F5, 7) (dual of [30, 18, 8]-code) | [i] | ||
| 178 | Linear OA(5118, 663, F5, 33) (dual of [663, 545, 34]-code) | [i] | Construction XX with a Chain of Extended Narrow-Sense BCH Codes | |
| 179 | Linear OA(5111, 656, F5, 32) (dual of [656, 545, 33]-code) | [i] | ||
| 180 | Linear OA(5103, 150, F5, 48) (dual of [150, 47, 49]-code) | [i] | ||
| 181 | Linear OA(597, 144, F5, 46) (dual of [144, 47, 47]-code) | [i] | ||
| 182 | Linear OA(591, 138, F5, 44) (dual of [138, 47, 45]-code) | [i] | ||
| 183 | Linear OA(594, 150, F5, 43) (dual of [150, 56, 44]-code) | [i] | ||
| 184 | Linear OA(588, 144, F5, 41) (dual of [144, 56, 42]-code) | [i] | ||
| 185 | Linear OA(582, 138, F5, 39) (dual of [138, 56, 40]-code) | [i] | ||
| 186 | Linear OA(518, 35, F5, 10) (dual of [35, 17, 11]-code) | [i] | Construction X with Varšamov Bound | |
| 187 | Linear OA(519, 37, F5, 10) (dual of [37, 18, 11]-code) | [i] | ||
| 188 | Linear OA(531, 47, F5, 17) (dual of [47, 16, 18]-code) | [i] | ||
| 189 | Linear OA(549, 66, F5, 28) (dual of [66, 17, 29]-code) | [i] | ||
| 190 | Linear OA(562, 128, F5, 28) (dual of [128, 66, 29]-code) | [i] | ||
| 191 | Linear OA(563, 129, F5, 29) (dual of [129, 66, 30]-code) | [i] | ||
| 192 | Linear OA(564, 131, F5, 29) (dual of [131, 67, 30]-code) | [i] | ||
| 193 | Linear OA(573, 138, F5, 34) (dual of [138, 65, 35]-code) | [i] | ||
| 194 | Linear OA(574, 140, F5, 34) (dual of [140, 66, 35]-code) | [i] | ||
| 195 | Linear OA(589, 118, F5, 49) (dual of [118, 29, 50]-code) | [i] | ||
| 196 | Linear OA(590, 119, F5, 50) (dual of [119, 29, 51]-code) | [i] | ||
| 197 | Linear OA(5128, 148, F5, 78) (dual of [148, 20, 79]-code) | [i] | ||
| 198 | Linear OA(5128, 150, F5, 77) (dual of [150, 22, 78]-code) | [i] | ||
| 199 | Linear OA(532, 65, F5, 16) (dual of [65, 33, 17]-code) | [i] | ||
| 200 | Linear OA(542, 82, F5, 20) (dual of [82, 40, 21]-code) | [i] | ||
| 201 | Linear OA(547, 72, F5, 25) (dual of [72, 25, 26]-code) | [i] | ||
| 202 | Linear OA(562, 92, F5, 33) (dual of [92, 30, 34]-code) | [i] | ||
| 203 | Linear OA(563, 94, F5, 33) (dual of [94, 31, 34]-code) | [i] | ||
| 204 | Linear OA(575, 102, F5, 41) (dual of [102, 27, 42]-code) | [i] | ||
| 205 | Linear OA(576, 103, F5, 42) (dual of [103, 27, 43]-code) | [i] | ||
| 206 | Linear OA(577, 105, F5, 42) (dual of [105, 28, 43]-code) | [i] | ||
| 207 | Linear OA(578, 106, F5, 43) (dual of [106, 28, 44]-code) | [i] | ||