Information on Result #606365
Linear OA(167, 16, F16, 7) (dual of [16, 9, 8]-code or 16-arc in PG(6,16)), using Reed–Solomon code RS(9,16)
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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(16108, 135, F16, 69) (dual of [135, 27, 70]-code) | [i] | Generalized (u, u+v)-Construction | |
| 2 | Linear OA(16101, 130, F16, 62) (dual of [130, 29, 63]-code) | [i] | ||
| 3 | Linear OA(1698, 130, F16, 59) (dual of [130, 32, 60]-code) | [i] | ||
| 4 | Linear OA(1689, 121, F16, 53) (dual of [121, 32, 54]-code) | [i] | ||
| 5 | Linear OA(16113, 4123, F16, 31) (dual of [4123, 4010, 32]-code) | [i] | ||
| 6 | Linear OA(1672, 80, F16, 59) (dual of [80, 8, 60]-code) | [i] | Juxtaposition | |
| 7 | Linear OA(1672, 79, F16, 60) (dual of [79, 7, 61]-code) | [i] | ||
| 8 | Linear OA(1671, 77, F16, 61) (dual of [77, 6, 62]-code) | [i] | ||
| 9 | Linear OA(1671, 76, F16, 62) (dual of [76, 5, 63]-code) | [i] | ||
| 10 | Linear OA(1671, 75, F16, 63) (dual of [75, 4, 64]-code) | [i] | ||
| 11 | Linear OA(1672, 75, F16, 67) (dual of [75, 3, 68]-code) | [i] | ||
| 12 | Linear OA(284, 112, F2, 31) (dual of [112, 28, 32]-code) | [i] | Concatenation of Two Codes | |
| 13 | Linear OA(280, 104, F2, 31) (dual of [104, 24, 32]-code) | [i] | ||
| 14 | Linear OA(276, 96, F2, 31) (dual of [96, 20, 32]-code) | [i] | ||
| 15 | Linear OA(268, 80, F2, 31) (dual of [80, 12, 32]-code) | [i] | ||
| 16 | Linear OA(430, 48, F4, 15) (dual of [48, 18, 16]-code) | [i] | ||
| 17 | Linear OA(429, 45, F4, 15) (dual of [45, 16, 16]-code) | [i] | ||
| 18 | Linear OA(428, 42, F4, 15) (dual of [42, 14, 16]-code) | [i] | ||
| 19 | Linear OA(427, 39, F4, 15) (dual of [39, 12, 16]-code) | [i] | ||
| 20 | Linear OA(426, 36, F4, 15) (dual of [36, 10, 16]-code) | [i] | ||
| 21 | Linear OA(425, 33, F4, 15) (dual of [33, 8, 16]-code) | [i] | ||
| 22 | Linear OA(436, 44, F4, 23) (dual of [44, 8, 24]-code) | [i] | ||
| 23 | Linear OA(434, 40, F4, 23) (dual of [40, 6, 24]-code) | [i] | ||
| 24 | Linear OA(441, 45, F4, 31) (dual of [45, 4, 32]-code) | [i] | ||
| 25 | Linear OOA(260, 48, F2, 2, 23) (dual of [(48, 2), 36, 24]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 26 | Linear OOA(258, 45, F2, 2, 23) (dual of [(45, 2), 32, 24]-NRT-code) | [i] | ||
| 27 | Linear OOA(256, 42, F2, 2, 23) (dual of [(42, 2), 28, 24]-NRT-code) | [i] | ||
| 28 | Linear OOA(254, 39, F2, 2, 23) (dual of [(39, 2), 24, 24]-NRT-code) | [i] | ||
| 29 | Linear OOA(252, 36, F2, 2, 23) (dual of [(36, 2), 20, 24]-NRT-code) | [i] | ||
| 30 | Linear OOA(2106, 65, F2, 2, 47) (dual of [(65, 2), 24, 48]-NRT-code) | [i] | ||
| 31 | Linear OOA(2100, 60, F2, 2, 47) (dual of [(60, 2), 20, 48]-NRT-code) | [i] | ||
| 32 | Linear OOA(294, 55, F2, 2, 47) (dual of [(55, 2), 16, 48]-NRT-code) | [i] | ||
| 33 | Linear OOA(486, 45, F4, 2, 71) (dual of [(45, 2), 4, 72]-NRT-code) | [i] | ||
| 34 | Linear OOA(2108, 48, F2, 3, 47) (dual of [(48, 3), 36, 48]-NRT-code) | [i] | ||
| 35 | Linear OOA(2103, 45, F2, 3, 47) (dual of [(45, 3), 32, 48]-NRT-code) | [i] | ||
| 36 | Linear OOA(298, 42, F2, 3, 47) (dual of [(42, 3), 28, 48]-NRT-code) | [i] | ||
| 37 | Linear OOA(293, 39, F2, 3, 47) (dual of [(39, 3), 24, 48]-NRT-code) | [i] | ||
| 38 | Linear OOA(288, 36, F2, 3, 47) (dual of [(36, 3), 20, 48]-NRT-code) | [i] | ||
| 39 | Linear OOA(283, 33, F2, 3, 47) (dual of [(33, 3), 16, 48]-NRT-code) | [i] | ||
| 40 | Linear OOA(278, 30, F2, 3, 47) (dual of [(30, 3), 12, 48]-NRT-code) | [i] | ||
| 41 | Linear OOA(2149, 55, F2, 3, 87) (dual of [(55, 3), 16, 88]-NRT-code) | [i] | ||
| 42 | Linear OOA(2138, 50, F2, 3, 87) (dual of [(50, 3), 12, 88]-NRT-code) | [i] | ||
| 43 | Linear OOA(2127, 45, F2, 3, 87) (dual of [(45, 3), 8, 88]-NRT-code) | [i] | ||
| 44 | Linear OOA(2172, 45, F2, 4, 127) (dual of [(45, 4), 8, 128]-NRT-code) | [i] | ||
| 45 | Linear OA(1669, 79, F16, 56) (dual of [79, 10, 57]-code) | [i] | Construction X with Algebraic-Geometric Codes | |
| 46 | Linear OA(1668, 79, F16, 55) (dual of [79, 11, 56]-code) | [i] | ||
| 47 | Linear OA(1667, 79, F16, 54) (dual of [79, 12, 55]-code) | [i] | ||
| 48 | Linear OA(1666, 79, F16, 53) (dual of [79, 13, 54]-code) | [i] | ||
| 49 | Linear OA(1665, 79, F16, 52) (dual of [79, 14, 53]-code) | [i] | ||
| 50 | Linear OA(1664, 79, F16, 51) (dual of [79, 15, 52]-code) | [i] | ||
| 51 | Linear OA(1663, 79, F16, 50) (dual of [79, 16, 51]-code) | [i] | ||
| 52 | Linear OA(1662, 79, F16, 49) (dual of [79, 17, 50]-code) | [i] | ||
| 53 | Linear OA(1661, 79, F16, 48) (dual of [79, 18, 49]-code) | [i] | ||
| 54 | Linear OA(1660, 79, F16, 47) (dual of [79, 19, 48]-code) | [i] | ||
| 55 | Linear OA(1659, 79, F16, 46) (dual of [79, 20, 47]-code) | [i] | ||
| 56 | Linear OA(1658, 79, F16, 45) (dual of [79, 21, 46]-code) | [i] | ||
| 57 | Linear OA(1657, 79, F16, 44) (dual of [79, 22, 45]-code) | [i] | ||
| 58 | Linear OA(1656, 79, F16, 43) (dual of [79, 23, 44]-code) | [i] | ||
| 59 | Linear OA(1655, 79, F16, 42) (dual of [79, 24, 43]-code) | [i] | ||
| 60 | Linear OA(1654, 79, F16, 41) (dual of [79, 25, 42]-code) | [i] | ||
| 61 | Linear OA(1653, 79, F16, 40) (dual of [79, 26, 41]-code) | [i] | ||
| 62 | Linear OA(1652, 79, F16, 39) (dual of [79, 27, 40]-code) | [i] | ||
| 63 | Linear OA(1651, 79, F16, 38) (dual of [79, 28, 39]-code) | [i] | ||
| 64 | Linear OA(1650, 79, F16, 37) (dual of [79, 29, 38]-code) | [i] | ||
| 65 | Linear OA(1649, 79, F16, 36) (dual of [79, 30, 37]-code) | [i] | ||
| 66 | Linear OA(1648, 79, F16, 35) (dual of [79, 31, 36]-code) | [i] | ||
| 67 | Linear OA(1647, 79, F16, 34) (dual of [79, 32, 35]-code) | [i] | ||
| 68 | Linear OA(1646, 79, F16, 33) (dual of [79, 33, 34]-code) | [i] | ||
| 69 | Linear OA(1645, 79, F16, 32) (dual of [79, 34, 33]-code) | [i] | ||
| 70 | Linear OA(1644, 79, F16, 31) (dual of [79, 35, 32]-code) | [i] | ||
| 71 | Linear OA(1643, 79, F16, 30) (dual of [79, 36, 31]-code) | [i] | ||
| 72 | Linear OA(1642, 79, F16, 29) (dual of [79, 37, 30]-code) | [i] | ||
| 73 | Linear OA(1641, 79, F16, 28) (dual of [79, 38, 29]-code) | [i] | ||
| 74 | Linear OA(1640, 79, F16, 27) (dual of [79, 39, 28]-code) | [i] | ||
| 75 | Linear OA(1639, 79, F16, 26) (dual of [79, 40, 27]-code) | [i] | ||
| 76 | Linear OA(1638, 79, F16, 25) (dual of [79, 41, 26]-code) | [i] | ||
| 77 | Linear OA(1637, 79, F16, 24) (dual of [79, 42, 25]-code) | [i] | ||
| 78 | Linear OA(1636, 79, F16, 23) (dual of [79, 43, 24]-code) | [i] | ||
| 79 | Linear OA(1635, 79, F16, 22) (dual of [79, 44, 23]-code) | [i] | ||
| 80 | Linear OA(1634, 79, F16, 21) (dual of [79, 45, 22]-code) | [i] | ||
| 81 | Linear OA(1633, 79, F16, 20) (dual of [79, 46, 21]-code) | [i] | ||
| 82 | Linear OA(16130, 239, F16, 83) (dual of [239, 109, 84]-code) | [i] | ||
| 83 | Linear OA(16129, 239, F16, 82) (dual of [239, 110, 83]-code) | [i] | ||
| 84 | Linear OA(16128, 239, F16, 81) (dual of [239, 111, 82]-code) | [i] | ||
| 85 | Linear OA(16127, 239, F16, 80) (dual of [239, 112, 81]-code) | [i] | ||
| 86 | Linear OA(16126, 239, F16, 79) (dual of [239, 113, 80]-code) | [i] | ||
| 87 | Linear OA(16125, 239, F16, 78) (dual of [239, 114, 79]-code) | [i] | ||
| 88 | Linear OA(16124, 239, F16, 77) (dual of [239, 115, 78]-code) | [i] | ||
| 89 | Linear OA(16123, 239, F16, 76) (dual of [239, 116, 77]-code) | [i] | ||
| 90 | Linear OA(16122, 239, F16, 75) (dual of [239, 117, 76]-code) | [i] | ||
| 91 | Linear OA(16121, 239, F16, 74) (dual of [239, 118, 75]-code) | [i] | ||
| 92 | Linear OA(16120, 239, F16, 73) (dual of [239, 119, 74]-code) | [i] | ||
| 93 | Linear OA(1670, 74, F16, 63) (dual of [74, 4, 64]-code) | [i] | ||
| 94 | Linear OA(1669, 76, F16, 59) (dual of [76, 7, 60]-code) | [i] | ||
| 95 | Linear OA(1668, 76, F16, 58) (dual of [76, 8, 59]-code) | [i] | ||
| 96 | Linear OA(1667, 78, F16, 55) (dual of [78, 11, 56]-code) | [i] | ||
| 97 | Linear OA(1666, 78, F16, 54) (dual of [78, 12, 55]-code) | [i] | ||
| 98 | Linear OA(1665, 78, F16, 53) (dual of [78, 13, 54]-code) | [i] | ||
| 99 | Linear OA(1680, 4114, F16, 23) (dual of [4114, 4034, 24]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 100 | Linear OA(1681, 4116, F16, 23) (dual of [4116, 4035, 24]-code) | [i] | ||
| 101 | Linear OA(16122, 1048594, F16, 23) (dual of [1048594, 1048472, 24]-code) | [i] | ||
| 102 | Linear OA(16123, 1048596, F16, 23) (dual of [1048596, 1048473, 24]-code) | [i] | ||
| 103 | Linear OA(1677, 4114, F16, 22) (dual of [4114, 4037, 23]-code) | [i] | ||
| 104 | Linear OA(16117, 1048594, F16, 22) (dual of [1048594, 1048477, 23]-code) | [i] | ||
| 105 | Linear OA(16118, 1048596, F16, 22) (dual of [1048596, 1048478, 23]-code) | [i] | ||
| 106 | Linear OA(16112, 1048594, F16, 21) (dual of [1048594, 1048482, 22]-code) | [i] | ||
| 107 | Linear OA(1672, 272, F16, 37) (dual of [272, 200, 38]-code) | [i] | Construction X with Cyclic Codes | |
| 108 | Linear OA(1668, 272, F16, 35) (dual of [272, 204, 36]-code) | [i] | ||
| 109 | Linear OA(1698, 275, F16, 53) (dual of [275, 177, 54]-code) | [i] | Construction XX with Cyclic Codes | |
| 110 | Linear OA(1697, 273, F16, 53) (dual of [273, 176, 54]-code) | [i] | ||
| 111 | Linear OA(16100, 275, F16, 54) (dual of [275, 175, 55]-code) | [i] | ||
| 112 | Linear OA(1699, 273, F16, 54) (dual of [273, 174, 55]-code) | [i] | ||
| 113 | Linear OA(16101, 278, F16, 54) (dual of [278, 177, 55]-code) | [i] | ||
| 114 | Linear OA(16100, 276, F16, 54) (dual of [276, 176, 55]-code) | [i] | ||
| 115 | Linear OA(16102, 275, F16, 55) (dual of [275, 173, 56]-code) | [i] | ||
| 116 | Linear OA(16101, 273, F16, 55) (dual of [273, 172, 56]-code) | [i] | ||
| 117 | Linear OA(16103, 278, F16, 55) (dual of [278, 175, 56]-code) | [i] | ||
| 118 | Linear OA(16102, 276, F16, 55) (dual of [276, 174, 56]-code) | [i] | ||
| 119 | Linear OA(16104, 281, F16, 55) (dual of [281, 177, 56]-code) | [i] | ||
| 120 | Linear OA(16103, 279, F16, 55) (dual of [279, 176, 56]-code) | [i] | ||
| 121 | Linear OA(16104, 275, F16, 56) (dual of [275, 171, 57]-code) | [i] | ||
| 122 | Linear OA(16103, 273, F16, 56) (dual of [273, 170, 57]-code) | [i] | ||
| 123 | Linear OA(16105, 278, F16, 56) (dual of [278, 173, 57]-code) | [i] | ||
| 124 | Linear OA(16104, 276, F16, 56) (dual of [276, 172, 57]-code) | [i] | ||
| 125 | Linear OA(16106, 281, F16, 56) (dual of [281, 175, 57]-code) | [i] | ||
| 126 | Linear OA(16105, 279, F16, 56) (dual of [279, 174, 57]-code) | [i] | ||
| 127 | Linear OA(16107, 284, F16, 56) (dual of [284, 177, 57]-code) | [i] | ||
| 128 | Linear OA(16106, 282, F16, 56) (dual of [282, 176, 57]-code) | [i] | ||
| 129 | Linear OA(16107, 278, F16, 57) (dual of [278, 171, 58]-code) | [i] | ||
| 130 | Linear OA(16106, 276, F16, 57) (dual of [276, 170, 58]-code) | [i] | ||
| 131 | Linear OA(16108, 281, F16, 57) (dual of [281, 173, 58]-code) | [i] | ||
| 132 | Linear OA(16107, 279, F16, 57) (dual of [279, 172, 58]-code) | [i] | ||
| 133 | Linear OA(16109, 284, F16, 57) (dual of [284, 175, 58]-code) | [i] | ||
| 134 | Linear OA(16108, 282, F16, 57) (dual of [282, 174, 58]-code) | [i] | ||
| 135 | Linear OA(16110, 287, F16, 57) (dual of [287, 177, 58]-code) | [i] | ||
| 136 | Linear OA(16109, 285, F16, 57) (dual of [285, 176, 58]-code) | [i] | ||
| 137 | Linear OA(16110, 281, F16, 58) (dual of [281, 171, 59]-code) | [i] | ||
| 138 | Linear OA(16109, 279, F16, 58) (dual of [279, 170, 59]-code) | [i] | ||
| 139 | Linear OA(16111, 284, F16, 58) (dual of [284, 173, 59]-code) | [i] | ||
| 140 | Linear OA(16110, 282, F16, 58) (dual of [282, 172, 59]-code) | [i] | ||
| 141 | Linear OA(16112, 287, F16, 58) (dual of [287, 175, 59]-code) | [i] | ||
| 142 | Linear OA(16111, 285, F16, 58) (dual of [285, 174, 59]-code) | [i] | ||
| 143 | Linear OA(16112, 288, F16, 58) (dual of [288, 176, 59]-code) | [i] | ||
| 144 | Linear OA(16113, 284, F16, 59) (dual of [284, 171, 60]-code) | [i] | ||
| 145 | Linear OA(16112, 282, F16, 59) (dual of [282, 170, 60]-code) | [i] | ||
| 146 | Linear OA(16114, 287, F16, 59) (dual of [287, 173, 60]-code) | [i] | ||
| 147 | Linear OA(16113, 285, F16, 59) (dual of [285, 172, 60]-code) | [i] | ||
| 148 | Linear OA(16114, 288, F16, 59) (dual of [288, 174, 60]-code) | [i] | ||
| 149 | Linear OA(16116, 287, F16, 60) (dual of [287, 171, 61]-code) | [i] | ||
| 150 | Linear OA(16115, 285, F16, 60) (dual of [285, 170, 61]-code) | [i] | ||
| 151 | Linear OA(16116, 288, F16, 60) (dual of [288, 172, 61]-code) | [i] | ||
| 152 | Linear OA(16118, 288, F16, 61) (dual of [288, 170, 62]-code) | [i] | ||
| 153 | Linear OA(16122, 271, F16, 70) (dual of [271, 149, 71]-code) | [i] | ||
| 154 | Linear OA(16124, 271, F16, 71) (dual of [271, 147, 72]-code) | [i] | ||
| 155 | Linear OA(16126, 271, F16, 72) (dual of [271, 145, 73]-code) | [i] | ||
| 156 | Linear OA(16124, 270, F16, 71) (dual of [270, 146, 72]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 157 | Linear OA(16122, 270, F16, 70) (dual of [270, 148, 71]-code) | [i] | ||
| 158 | Linear OA(16120, 270, F16, 69) (dual of [270, 150, 70]-code) | [i] | ||
| 159 | Linear OA(16119, 271, F16, 68) (dual of [271, 152, 69]-code) | [i] | ||
| 160 | Linear OA(16101, 272, F16, 55) (dual of [272, 171, 56]-code) | [i] | ||
| 161 | Linear OA(1699, 272, F16, 54) (dual of [272, 173, 55]-code) | [i] | ||
| 162 | Linear OA(1697, 272, F16, 53) (dual of [272, 175, 54]-code) | [i] | ||
| 163 | Linear OA(1695, 272, F16, 52) (dual of [272, 177, 53]-code) | [i] | ||
| 164 | Linear OA(1659, 101, F16, 34) (dual of [101, 42, 35]-code) | [i] | ||