Information on Result #604639
Linear OA(42, 3, F4, 2) (dual of [3, 1, 3]-code or 3-arc in PG(1,4)), using dual of repetition code with length 3
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(431, 132, F4, 8) (dual of [132, 101, 9]-code) | [i] | Construction X with Cyclic Codes | |
| 2 | Linear OA(439, 516, F4, 8) (dual of [516, 477, 9]-code) | [i] | ||
| 3 | Linear OA(447, 2052, F4, 8) (dual of [2052, 2005, 9]-code) | [i] | ||
| 4 | Linear OA(455, 8196, F4, 8) (dual of [8196, 8141, 9]-code) | [i] | ||
| 5 | Linear OA(463, 32772, F4, 8) (dual of [32772, 32709, 9]-code) | [i] | ||
| 6 | Linear OA(471, 131076, F4, 8) (dual of [131076, 131005, 9]-code) | [i] | ||
| 7 | Linear OA(479, 524292, F4, 8) (dual of [524292, 524213, 9]-code) | [i] | ||
| 8 | Linear OA(487, 2097156, F4, 8) (dual of [2097156, 2097069, 9]-code) | [i] | ||
| 9 | Linear OA(475, 136, F4, 16) (dual of [136, 61, 17]-code) | [i] | ||
| 10 | Linear OA(440, 48, F4, 20) (dual of [48, 8, 21]-code) | [i] | ||
| 11 | Linear OA(442, 48, F4, 23) (dual of [48, 6, 24]-code) | [i] | ||
| 12 | Linear OA(444, 48, F4, 32) (dual of [48, 4, 33]-code) | [i] | ||
| 13 | Linear OA(4105, 136, F4, 32) (dual of [136, 31, 33]-code) | [i] | ||
| 14 | Linear OA(4141, 276, F4, 40) (dual of [276, 135, 41]-code) | [i] | ||
| 15 | Linear OA(4156, 276, F4, 44) (dual of [276, 120, 45]-code) | [i] | ||
| 16 | Linear OA(4174, 276, F4, 52) (dual of [276, 102, 53]-code) | [i] | ||
| 17 | Linear OA(4137, 156, F4, 53) (dual of [156, 19, 54]-code) | [i] | ||
| 18 | Linear OA(4138, 156, F4, 56) (dual of [156, 18, 57]-code) | [i] | ||
| 19 | Linear OA(4142, 156, F4, 59) (dual of [156, 14, 60]-code) | [i] | ||
| 20 | Linear OA(4146, 156, F4, 68) (dual of [156, 10, 69]-code) | [i] | ||
| 21 | Linear OA(4166, 192, F4, 68) (dual of [192, 26, 69]-code) | [i] | ||
| 22 | Linear OA(4169, 192, F4, 71) (dual of [192, 23, 72]-code) | [i] | ||
| 23 | Linear OA(4172, 192, F4, 80) (dual of [192, 20, 81]-code) | [i] | ||
| 24 | Linear OA(4175, 192, F4, 83) (dual of [192, 17, 84]-code) | [i] | ||
| 25 | Linear OA(4178, 192, F4, 92) (dual of [192, 14, 93]-code) | [i] | ||
| 26 | Linear OA(4181, 192, F4, 95) (dual of [192, 11, 96]-code) | [i] | ||
| 27 | Linear OA(4150, 156, F4, 104) (dual of [156, 6, 105]-code) | [i] | ||
| 28 | Linear OA(4151, 156, F4, 107) (dual of [156, 5, 108]-code) | [i] | ||
| 29 | Linear OA(4184, 192, F4, 128) (dual of [192, 8, 129]-code) | [i] | ||
| 30 | Linear OA(4185, 192, F4, 131) (dual of [192, 7, 132]-code) | [i] | ||
| 31 | Linear OA(4206, 214, F4, 143) (dual of [214, 8, 144]-code) | [i] | Construction XX with Cyclic Codes | |
| 32 | Linear OA(4201, 208, F4, 143) (dual of [208, 7, 144]-code) | [i] | ||
| 33 | Linear OA(4194, 201, F4, 137) (dual of [201, 7, 138]-code) | [i] | ||
| 34 | Linear OA(4191, 198, F4, 135) (dual of [198, 7, 136]-code) | [i] | ||
| 35 | Linear OA(4202, 209, F4, 143) (dual of [209, 7, 144]-code) | [i] | Construction XX with a Chain of Cyclic Codes | |
| 36 | Linear OA(457, 77, F4, 30) (dual of [77, 20, 31]-code) | [i] | ||
| 37 | Linear OA(454, 74, F4, 28) (dual of [74, 20, 29]-code) | [i] | ||
| 38 | Linear OA(450, 70, F4, 27) (dual of [70, 20, 28]-code) | [i] | ||
| 39 | Linear OA(456, 77, F4, 29) (dual of [77, 21, 30]-code) | [i] | ||
| 40 | Linear OA(4209, 1383, F4, 47) (dual of [1383, 1174, 48]-code) | [i] | Construction XX with a Chain of Extended Narrow-Sense BCH Codes | |
| 41 | Linear OA(4202, 1376, F4, 46) (dual of [1376, 1174, 47]-code) | [i] | ||
| 42 | Linear OA(4104, 351, F4, 30) (dual of [351, 247, 31]-code) | [i] | ||
| 43 | Linear OA(4199, 272, F4, 94) (dual of [272, 73, 95]-code) | [i] | ||
| 44 | Linear OA(4196, 269, F4, 92) (dual of [269, 73, 93]-code) | [i] | ||
| 45 | Linear OA(4191, 264, F4, 91) (dual of [264, 73, 92]-code) | [i] | ||
| 46 | Linear OA(4128, 290, F4, 41) (dual of [290, 162, 42]-code) | [i] | ||
| 47 | Linear OA(4118, 280, F4, 39) (dual of [280, 162, 40]-code) | [i] | ||
| 48 | Linear OA(4112, 274, F4, 38) (dual of [274, 162, 39]-code) | [i] | ||
| 49 | Linear OA(4107, 269, F4, 37) (dual of [269, 162, 38]-code) | [i] | ||
| 50 | Linear OA(4105, 267, F4, 36) (dual of [267, 162, 37]-code) | [i] | ||
| 51 | Linear OA(4202, 210, F4, 141) (dual of [210, 8, 142]-code) | [i] | ||
| 52 | Linear OA(4195, 203, F4, 135) (dual of [203, 8, 136]-code) | [i] | ||
| 53 | Linear OA(457, 78, F4, 30) (dual of [78, 21, 31]-code) | [i] | ||
| 54 | Linear OA(454, 75, F4, 28) (dual of [75, 21, 29]-code) | [i] | ||
| 55 | Linear OA(450, 71, F4, 27) (dual of [71, 21, 28]-code) | [i] | ||
| 56 | Linear OA(415, 31, F4, 8) (dual of [31, 16, 9]-code) | [i] | Construction X with Varšamov Bound | |
| 57 | Linear OA(416, 32, F4, 9) (dual of [32, 16, 10]-code) | [i] | ||
| 58 | Linear OA(424, 47, F4, 12) (dual of [47, 23, 13]-code) | [i] | ||
| 59 | Linear OA(425, 48, F4, 13) (dual of [48, 23, 14]-code) | [i] | ||
| 60 | Linear OA(436, 64, F4, 17) (dual of [64, 28, 18]-code) | [i] | ||
| 61 | Linear OA(437, 65, F4, 18) (dual of [65, 28, 19]-code) | [i] | ||
| 62 | Linear OA(452, 80, F4, 26) (dual of [80, 28, 27]-code) | [i] | ||
| 63 | Linear OA(484, 103, F4, 46) (dual of [103, 19, 47]-code) | [i] | ||
| 64 | Linear OA(485, 102, F4, 48) (dual of [102, 17, 49]-code) | [i] | ||
| 65 | Linear OA(485, 104, F4, 47) (dual of [104, 19, 48]-code) | [i] | ||
| 66 | Linear OA(490, 262180, F4, 13) (dual of [262180, 262090, 14]-code) | [i] | ||
| 67 | Linear OA(499, 1048615, F4, 13) (dual of [1048615, 1048516, 14]-code) | [i] | ||
| 68 | Linear OA(4115, 1048602, F4, 15) (dual of [1048602, 1048487, 16]-code) | [i] | ||
| 69 | Linear OA(4117, 262180, F4, 17) (dual of [262180, 262063, 18]-code) | [i] | ||
| 70 | Linear OA(4128, 262191, F4, 18) (dual of [262191, 262063, 19]-code) | [i] | ||
| 71 | Linear OA(4129, 1048615, F4, 17) (dual of [1048615, 1048486, 18]-code) | [i] | ||
| 72 | Linear OA(4131, 262169, F4, 19) (dual of [262169, 262038, 20]-code) | [i] | ||
| 73 | Linear OA(4139, 65579, F4, 22) (dual of [65579, 65440, 23]-code) | [i] | ||
| 74 | Linear OA(4141, 4194346, F4, 17) (dual of [4194346, 4194205, 18]-code) | [i] | ||
| 75 | Linear OA(4142, 1048628, F4, 18) (dual of [1048628, 1048486, 19]-code) | [i] | ||
| 76 | Linear OA(4144, 16423, F4, 26) (dual of [16423, 16279, 27]-code) | [i] | ||
| 77 | Linear OA(4145, 1048603, F4, 19) (dual of [1048603, 1048458, 20]-code) | [i] | ||
| 78 | Linear OA(4155, 262191, F4, 22) (dual of [262191, 262036, 23]-code) | [i] | ||
| 79 | Linear OA(4155, 4194360, F4, 18) (dual of [4194360, 4194205, 19]-code) | [i] | ||
| 80 | Linear OA(4163, 65579, F4, 26) (dual of [65579, 65416, 27]-code) | [i] | ||
| 81 | Linear OA(4165, 16423, F4, 30) (dual of [16423, 16258, 31]-code) | [i] | ||
| 82 | Linear OA(4167, 262203, F4, 23) (dual of [262203, 262036, 24]-code) | [i] | ||
| 83 | Linear OA(4172, 254, F4, 79) (dual of [254, 82, 80]-code) | [i] | ||
| 84 | Linear OA(4172, 1048628, F4, 22) (dual of [1048628, 1048456, 23]-code) | [i] | ||
| 85 | Linear OA(4173, 255, F4, 80) (dual of [255, 82, 81]-code) | [i] | ||
| 86 | Linear OA(4174, 256, F4, 81) (dual of [256, 82, 82]-code) | [i] | ||
| 87 | Linear OA(4174, 65590, F4, 27) (dual of [65590, 65416, 28]-code) | [i] | ||
| 88 | Linear OA(4184, 1048640, F4, 23) (dual of [1048640, 1048456, 24]-code) | [i] | ||
| 89 | Linear OA(4186, 16423, F4, 34) (dual of [16423, 16237, 35]-code) | [i] | ||
| 90 | Linear OA(4188, 270, F4, 88) (dual of [270, 82, 89]-code) | [i] | ||
| 91 | Linear OA(4194, 262203, F4, 27) (dual of [262203, 262009, 28]-code) | [i] | ||
| 92 | Linear OA(4198, 65590, F4, 31) (dual of [65590, 65392, 32]-code) | [i] | ||
| 93 | Linear OA(4207, 16423, F4, 38) (dual of [16423, 16216, 39]-code) | [i] | ||
| 94 | Linear OA(4212, 65605, F4, 33) (dual of [65605, 65393, 34]-code) | [i] | ||
| 95 | Linear OA(4221, 262203, F4, 31) (dual of [262203, 261982, 32]-code) | [i] | ||
| 96 | Linear OA(4222, 65590, F4, 35) (dual of [65590, 65368, 36]-code) | [i] | ||
| 97 | Linear OA(4228, 16423, F4, 42) (dual of [16423, 16195, 43]-code) | [i] | ||
| 98 | Linear OA(4230, 1048656, F4, 28) (dual of [1048656, 1048426, 29]-code) | [i] | ||
| 99 | Linear OA(4233, 262216, F4, 32) (dual of [262216, 261983, 33]-code) | [i] | ||
| 100 | Linear OA(4236, 65604, F4, 37) (dual of [65604, 65368, 38]-code) | [i] | ||
| 101 | Linear OA(4246, 65590, F4, 39) (dual of [65590, 65344, 40]-code) | [i] | ||
| 102 | Linear OA(4249, 16423, F4, 46) (dual of [16423, 16174, 47]-code) | [i] | ||
| 103 | Linear OA(4250, 262232, F4, 34) (dual of [262232, 261982, 35]-code) | [i] | ||
| 104 | Linear OA(4251, 4194390, F4, 28) (dual of [4194390, 4194139, 29]-code) | [i] | ||
| 105 | Linear OA(4258, 313, F4, 136) (dual of [313, 55, 137]-code) | [i] | ||
| 106 | Linear OA(4260, 65605, F4, 41) (dual of [65605, 65345, 42]-code) | [i] | ||
| 107 | Linear OA(4260, 262215, F4, 36) (dual of [262215, 261955, 37]-code) | [i] | ||
| 108 | Linear OA(4260, 1048657, F4, 32) (dual of [1048657, 1048397, 33]-code) | [i] | ||
| 109 | Linear OA(464, 87, F4, 33) (dual of [87, 23, 34]-code) | [i] | ||
| 110 | Linear OA(465, 88, F4, 34) (dual of [88, 23, 35]-code) | [i] | ||
| 111 | Linear OA(482, 104, F4, 44) (dual of [104, 22, 45]-code) | [i] | ||
| 112 | Linear OA(4109, 135, F4, 58) (dual of [135, 26, 59]-code) | [i] | ||
| 113 | Linear OA(4110, 134, F4, 60) (dual of [134, 24, 61]-code) | [i] | ||
| 114 | Linear OA(4110, 136, F4, 59) (dual of [136, 26, 60]-code) | [i] | ||
| 115 | Linear OA(440, 91, F4, 17) (dual of [91, 51, 18]-code) | [i] | ||
| 116 | Linear OA(442, 91, F4, 18) (dual of [91, 49, 19]-code) | [i] | ||
| 117 | Linear OA(452, 101, F4, 23) (dual of [101, 49, 24]-code) | [i] | ||
| 118 | Linear OA(456, 94, F4, 26) (dual of [94, 38, 27]-code) | [i] | ||
| 119 | Linear OA(457, 95, F4, 27) (dual of [95, 38, 28]-code) | [i] | ||
| 120 | Linear OA(462, 96, F4, 30) (dual of [96, 34, 31]-code) | [i] | ||
| 121 | Linear OA(486, 116, F4, 44) (dual of [116, 30, 45]-code) | [i] | ||
| 122 | Linear OA(489, 117, F4, 46) (dual of [117, 28, 47]-code) | [i] | ||
| 123 | Linear OA(490, 118, F4, 47) (dual of [118, 28, 48]-code) | [i] | ||
| 124 | Linear OA(495, 127, F4, 48) (dual of [127, 32, 49]-code) | [i] | ||
| 125 | Linear OA(496, 128, F4, 49) (dual of [128, 32, 50]-code) | [i] | ||
| 126 | Linear OA(4106, 138, F4, 55) (dual of [138, 32, 56]-code) | [i] | ||
| 127 | Linear OA(4124, 155, F4, 65) (dual of [155, 31, 66]-code) | [i] | ||
| 128 | Linear OA(4127, 156, F4, 68) (dual of [156, 29, 69]-code) | [i] | ||
| 129 | Linear OA(4128, 157, F4, 69) (dual of [157, 29, 70]-code) | [i] | ||
| 130 | Linear OA(489, 118, F4, 46) (dual of [118, 29, 47]-code) | [i] | ||
| 131 | Linear OA(4114, 145, F4, 60) (dual of [145, 31, 61]-code) | [i] | ||
| 132 | Linear OA(4148, 262193, F4, 21) (dual of [262193, 262045, 22]-code) | [i] | ||
| 133 | Linear OA(4163, 1048629, F4, 21) (dual of [1048629, 1048466, 22]-code) | [i] | ||
| 134 | Linear OA(4173, 65589, F4, 27) (dual of [65589, 65416, 28]-code) | [i] | ||
| 135 | Linear OA(4186, 65602, F4, 29) (dual of [65602, 65416, 30]-code) | [i] | ||
| 136 | Linear OA(4190, 262217, F4, 26) (dual of [262217, 262027, 27]-code) | [i] | ||
| 137 | Linear OA(4197, 65589, F4, 31) (dual of [65589, 65392, 32]-code) | [i] | ||
| 138 | Linear OA(4205, 65589, F4, 32) (dual of [65589, 65384, 33]-code) | [i] | ||
| 139 | Linear OA(4208, 262217, F4, 29) (dual of [262217, 262009, 30]-code) | [i] | ||
| 140 | Linear OA(4209, 1048655, F4, 26) (dual of [1048655, 1048446, 27]-code) | [i] | ||
| 141 | Linear OA(4210, 65603, F4, 33) (dual of [65603, 65393, 34]-code) | [i] | ||
| 142 | Linear OA(4217, 262217, F4, 30) (dual of [262217, 262000, 31]-code) | [i] | ||
| 143 | Linear OA(4218, 65602, F4, 34) (dual of [65602, 65384, 35]-code) | [i] | ||
| 144 | Linear OA(4219, 1048656, F4, 27) (dual of [1048656, 1048437, 28]-code) | [i] | ||
| 145 | Linear OA(4221, 65589, F4, 35) (dual of [65589, 65368, 36]-code) | [i] | ||
| 146 | Linear OA(4226, 262217, F4, 31) (dual of [262217, 261991, 32]-code) | [i] | ||
| 147 | Linear OA(4228, 1048654, F4, 28) (dual of [1048654, 1048426, 29]-code) | [i] | ||
| 148 | Linear OA(4228, 4194389, F4, 26) (dual of [4194389, 4194161, 27]-code) | [i] | ||
| 149 | Linear OA(4229, 65589, F4, 36) (dual of [65589, 65360, 37]-code) | [i] | ||
| 150 | Linear OA(4234, 65602, F4, 37) (dual of [65602, 65368, 38]-code) | [i] | ||
| 151 | Linear OA(4239, 4194390, F4, 27) (dual of [4194390, 4194151, 28]-code) | [i] | ||
| 152 | Linear OA(4242, 65602, F4, 38) (dual of [65602, 65360, 39]-code) | [i] | ||
| 153 | Linear OA(4244, 262217, F4, 34) (dual of [262217, 261973, 35]-code) | [i] | ||
| 154 | Linear OA(4245, 65589, F4, 39) (dual of [65589, 65344, 40]-code) | [i] | ||
| 155 | Linear OA(4248, 262230, F4, 34) (dual of [262230, 261982, 35]-code) | [i] | ||
| 156 | Linear OA(4249, 1048655, F4, 31) (dual of [1048655, 1048406, 32]-code) | [i] | ||
| 157 | Linear OA(4249, 4194388, F4, 28) (dual of [4194388, 4194139, 29]-code) | [i] | ||
| 158 | Linear OA(4250, 65602, F4, 39) (dual of [65602, 65352, 40]-code) | [i] | ||
| 159 | Linear OA(4253, 65589, F4, 40) (dual of [65589, 65336, 41]-code) | [i] | ||
| 160 | Linear OA(4253, 262218, F4, 35) (dual of [262218, 261965, 36]-code) | [i] | ||
| 161 | Linear OA(4258, 65603, F4, 41) (dual of [65603, 65345, 42]-code) | [i] | ||
| 162 | Linear OA(4258, 1048655, F4, 32) (dual of [1048655, 1048397, 33]-code) | [i] | ||