Information on Result #606364
Linear OA(166, 16, F16, 6) (dual of [16, 10, 7]-code or 16-arc in PG(5,16)), using Reed–Solomon code RS(10,16)
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(1697, 128, F16, 59) (dual of [128, 31, 60]-code) | [i] | Generalized (u, u+v)-Construction | |
| 2 | Linear OA(16108, 135, F16, 69) (dual of [135, 27, 70]-code) | [i] | ||
| 3 | Linear OA(16108, 135, F16, 69) (dual of [135, 27, 70]-code) | [i] | ||
| 4 | Linear OA(16101, 130, F16, 62) (dual of [130, 29, 63]-code) | [i] | ||
| 5 | Linear OA(16101, 130, F16, 62) (dual of [130, 29, 63]-code) | [i] | ||
| 6 | Linear OA(1698, 130, F16, 59) (dual of [130, 32, 60]-code) | [i] | ||
| 7 | Linear OA(1689, 121, F16, 53) (dual of [121, 32, 54]-code) | [i] | ||
| 8 | Linear OA(1671, 81, F16, 56) (dual of [81, 10, 57]-code) | [i] | Juxtaposition | |
| 9 | Linear OA(1671, 79, F16, 58) (dual of [79, 8, 59]-code) | [i] | ||
| 10 | Linear OA(1671, 78, F16, 59) (dual of [78, 7, 60]-code) | [i] | ||
| 11 | Linear OA(1670, 76, F16, 60) (dual of [76, 6, 61]-code) | [i] | ||
| 12 | Linear OA(1670, 75, F16, 61) (dual of [75, 5, 62]-code) | [i] | ||
| 13 | Linear OA(1670, 74, F16, 62) (dual of [74, 4, 63]-code) | [i] | ||
| 14 | Linear OA(1671, 74, F16, 66) (dual of [74, 3, 67]-code) | [i] | ||
| 15 | Linear OA(276, 104, F2, 27) (dual of [104, 28, 28]-code) | [i] | Concatenation of Two Codes | |
| 16 | Linear OA(268, 88, F2, 27) (dual of [88, 20, 28]-code) | [i] | ||
| 17 | Linear OA(264, 80, F2, 27) (dual of [80, 16, 28]-code) | [i] | ||
| 18 | Linear OA(432, 40, F4, 20) (dual of [40, 8, 21]-code) | [i] | ||
| 19 | Linear OA(430, 36, F4, 20) (dual of [36, 6, 21]-code) | [i] | ||
| 20 | Linear OA(436, 40, F4, 27) (dual of [40, 4, 28]-code) | [i] | ||
| 21 | Linear OOA(256, 48, F2, 2, 20) (dual of [(48, 2), 40, 21]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 22 | Linear OOA(254, 45, F2, 2, 20) (dual of [(45, 2), 36, 21]-NRT-code) | [i] | ||
| 23 | Linear OOA(252, 42, F2, 2, 20) (dual of [(42, 2), 32, 21]-NRT-code) | [i] | ||
| 24 | Linear OOA(250, 39, F2, 2, 20) (dual of [(39, 2), 28, 21]-NRT-code) | [i] | ||
| 25 | Linear OOA(248, 36, F2, 2, 20) (dual of [(36, 2), 24, 21]-NRT-code) | [i] | ||
| 26 | Linear OOA(246, 33, F2, 2, 20) (dual of [(33, 2), 20, 21]-NRT-code) | [i] | ||
| 27 | Linear OOA(244, 30, F2, 2, 20) (dual of [(30, 2), 16, 21]-NRT-code) | [i] | ||
| 28 | Linear OOA(290, 55, F2, 2, 41) (dual of [(55, 2), 20, 42]-NRT-code) | [i] | ||
| 29 | Linear OOA(284, 50, F2, 2, 41) (dual of [(50, 2), 16, 42]-NRT-code) | [i] | ||
| 30 | Linear OOA(299, 45, F2, 3, 41) (dual of [(45, 3), 36, 42]-NRT-code) | [i] | ||
| 31 | Linear OOA(294, 42, F2, 3, 41) (dual of [(42, 3), 32, 42]-NRT-code) | [i] | ||
| 32 | Linear OOA(289, 39, F2, 3, 41) (dual of [(39, 3), 28, 42]-NRT-code) | [i] | ||
| 33 | Linear OOA(284, 36, F2, 3, 41) (dual of [(36, 3), 24, 42]-NRT-code) | [i] | ||
| 34 | Linear OOA(279, 33, F2, 3, 41) (dual of [(33, 3), 20, 42]-NRT-code) | [i] | ||
| 35 | Linear OOA(274, 30, F2, 3, 41) (dual of [(30, 3), 16, 42]-NRT-code) | [i] | ||
| 36 | Linear OOA(2112, 40, F2, 3, 76) (dual of [(40, 3), 8, 77]-NRT-code) | [i] | ||
| 37 | Linear OOA(2152, 40, F2, 4, 111) (dual of [(40, 4), 8, 112]-NRT-code) | [i] | ||
| 38 | Linear OA(1668, 77, F16, 56) (dual of [77, 9, 57]-code) | [i] | Construction X with Algebraic-Geometric Codes | |
| 39 | Linear OA(1667, 77, F16, 55) (dual of [77, 10, 56]-code) | [i] | ||
| 40 | Linear OA(1666, 77, F16, 54) (dual of [77, 11, 55]-code) | [i] | ||
| 41 | Linear OA(1665, 77, F16, 53) (dual of [77, 12, 54]-code) | [i] | ||
| 42 | Linear OA(1664, 77, F16, 52) (dual of [77, 13, 53]-code) | [i] | ||
| 43 | Linear OA(1663, 77, F16, 51) (dual of [77, 14, 52]-code) | [i] | ||
| 44 | Linear OA(1662, 77, F16, 50) (dual of [77, 15, 51]-code) | [i] | ||
| 45 | Linear OA(1661, 77, F16, 49) (dual of [77, 16, 50]-code) | [i] | ||
| 46 | Linear OA(1660, 77, F16, 48) (dual of [77, 17, 49]-code) | [i] | ||
| 47 | Linear OA(1659, 77, F16, 47) (dual of [77, 18, 48]-code) | [i] | ||
| 48 | Linear OA(1658, 77, F16, 46) (dual of [77, 19, 47]-code) | [i] | ||
| 49 | Linear OA(1657, 77, F16, 45) (dual of [77, 20, 46]-code) | [i] | ||
| 50 | Linear OA(1656, 77, F16, 44) (dual of [77, 21, 45]-code) | [i] | ||
| 51 | Linear OA(1655, 77, F16, 43) (dual of [77, 22, 44]-code) | [i] | ||
| 52 | Linear OA(1654, 77, F16, 42) (dual of [77, 23, 43]-code) | [i] | ||
| 53 | Linear OA(1653, 77, F16, 41) (dual of [77, 24, 42]-code) | [i] | ||
| 54 | Linear OA(1652, 77, F16, 40) (dual of [77, 25, 41]-code) | [i] | ||
| 55 | Linear OA(1651, 77, F16, 39) (dual of [77, 26, 40]-code) | [i] | ||
| 56 | Linear OA(1650, 77, F16, 38) (dual of [77, 27, 39]-code) | [i] | ||
| 57 | Linear OA(1649, 77, F16, 37) (dual of [77, 28, 38]-code) | [i] | ||
| 58 | Linear OA(1648, 77, F16, 36) (dual of [77, 29, 37]-code) | [i] | ||
| 59 | Linear OA(1647, 77, F16, 35) (dual of [77, 30, 36]-code) | [i] | ||
| 60 | Linear OA(1646, 77, F16, 34) (dual of [77, 31, 35]-code) | [i] | ||
| 61 | Linear OA(1645, 77, F16, 33) (dual of [77, 32, 34]-code) | [i] | ||
| 62 | Linear OA(1644, 77, F16, 32) (dual of [77, 33, 33]-code) | [i] | ||
| 63 | Linear OA(1643, 77, F16, 31) (dual of [77, 34, 32]-code) | [i] | ||
| 64 | Linear OA(1642, 77, F16, 30) (dual of [77, 35, 31]-code) | [i] | ||
| 65 | Linear OA(1641, 77, F16, 29) (dual of [77, 36, 30]-code) | [i] | ||
| 66 | Linear OA(1640, 77, F16, 28) (dual of [77, 37, 29]-code) | [i] | ||
| 67 | Linear OA(1639, 77, F16, 27) (dual of [77, 38, 28]-code) | [i] | ||
| 68 | Linear OA(1638, 77, F16, 26) (dual of [77, 39, 27]-code) | [i] | ||
| 69 | Linear OA(1637, 77, F16, 25) (dual of [77, 40, 26]-code) | [i] | ||
| 70 | Linear OA(1636, 77, F16, 24) (dual of [77, 41, 25]-code) | [i] | ||
| 71 | Linear OA(1635, 77, F16, 23) (dual of [77, 42, 24]-code) | [i] | ||
| 72 | Linear OA(1634, 77, F16, 22) (dual of [77, 43, 23]-code) | [i] | ||
| 73 | Linear OA(1633, 77, F16, 21) (dual of [77, 44, 22]-code) | [i] | ||
| 74 | Linear OA(1632, 77, F16, 20) (dual of [77, 45, 21]-code) | [i] | ||
| 75 | Linear OA(1631, 77, F16, 19) (dual of [77, 46, 20]-code) | [i] | ||
| 76 | Linear OA(16130, 237, F16, 84) (dual of [237, 107, 85]-code) | [i] | ||
| 77 | Linear OA(16129, 237, F16, 83) (dual of [237, 108, 84]-code) | [i] | ||
| 78 | Linear OA(16128, 237, F16, 82) (dual of [237, 109, 83]-code) | [i] | ||
| 79 | Linear OA(16127, 237, F16, 81) (dual of [237, 110, 82]-code) | [i] | ||
| 80 | Linear OA(16126, 237, F16, 80) (dual of [237, 111, 81]-code) | [i] | ||
| 81 | Linear OA(16125, 237, F16, 79) (dual of [237, 112, 80]-code) | [i] | ||
| 82 | Linear OA(16124, 237, F16, 78) (dual of [237, 113, 79]-code) | [i] | ||
| 83 | Linear OA(16123, 237, F16, 77) (dual of [237, 114, 78]-code) | [i] | ||
| 84 | Linear OA(16122, 237, F16, 76) (dual of [237, 115, 77]-code) | [i] | ||
| 85 | Linear OA(16121, 237, F16, 75) (dual of [237, 116, 76]-code) | [i] | ||
| 86 | Linear OA(16120, 237, F16, 74) (dual of [237, 117, 75]-code) | [i] | ||
| 87 | Linear OA(16119, 237, F16, 73) (dual of [237, 118, 74]-code) | [i] | ||
| 88 | Linear OA(16118, 237, F16, 72) (dual of [237, 119, 73]-code) | [i] | ||
| 89 | Linear OA(1667, 74, F16, 58) (dual of [74, 7, 59]-code) | [i] | ||
| 90 | Linear OA(1666, 76, F16, 55) (dual of [76, 10, 56]-code) | [i] | ||
| 91 | Linear OA(1665, 76, F16, 54) (dual of [76, 11, 55]-code) | [i] | ||
| 92 | Linear OA(1664, 76, F16, 53) (dual of [76, 12, 54]-code) | [i] | ||
| 93 | Linear OA(1669, 4112, F16, 20) (dual of [4112, 4043, 21]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 94 | Linear OA(16105, 1048592, F16, 20) (dual of [1048592, 1048487, 21]-code) | [i] | ||
| 95 | Linear OA(16106, 1048594, F16, 20) (dual of [1048594, 1048488, 21]-code) | [i] | ||
| 96 | Linear OA(16100, 1048592, F16, 19) (dual of [1048592, 1048492, 20]-code) | [i] | ||
| 97 | Linear OA(1663, 4112, F16, 18) (dual of [4112, 4049, 19]-code) | [i] | ||
| 98 | Linear OA(1695, 1048592, F16, 18) (dual of [1048592, 1048497, 19]-code) | [i] | ||
| 99 | Linear OA(1650, 99, F16, 28) (dual of [99, 49, 29]-code) | [i] | Construction X with Cyclic Codes | |
| 100 | Linear OA(1657, 99, F16, 33) (dual of [99, 42, 34]-code) | [i] | ||
| 101 | Linear OA(1660, 101, F16, 35) (dual of [101, 41, 36]-code) | [i] | ||
| 102 | Linear OA(1662, 103, F16, 36) (dual of [103, 41, 37]-code) | [i] | Construction XX with Cyclic Codes | |
| 103 | Linear OA(1664, 104, F16, 37) (dual of [104, 40, 38]-code) | [i] | ||
| 104 | Linear OA(1678, 111, F16, 47) (dual of [111, 33, 48]-code) | [i] | ||
| 105 | Linear OA(1681, 114, F16, 48) (dual of [114, 33, 49]-code) | [i] | ||
| 106 | Linear OA(1681, 114, F16, 48) (dual of [114, 33, 49]-code) | [i] | ||
| 107 | Linear OA(1686, 116, F16, 52) (dual of [116, 30, 53]-code) | [i] | ||
| 108 | Linear OA(1685, 114, F16, 52) (dual of [114, 29, 53]-code) | [i] | ||
| 109 | Linear OA(1669, 272, F16, 36) (dual of [272, 203, 37]-code) | [i] | ||
| 110 | Linear OA(1671, 272, F16, 37) (dual of [272, 201, 38]-code) | [i] | ||
| 111 | Linear OA(1672, 275, F16, 37) (dual of [275, 203, 38]-code) | [i] | ||
| 112 | Linear OA(1673, 272, F16, 38) (dual of [272, 199, 39]-code) | [i] | ||
| 113 | Linear OA(1674, 275, F16, 38) (dual of [275, 201, 39]-code) | [i] | ||
| 114 | Linear OA(1675, 278, F16, 38) (dual of [278, 203, 39]-code) | [i] | ||
| 115 | Linear OA(1675, 272, F16, 39) (dual of [272, 197, 40]-code) | [i] | ||
| 116 | Linear OA(1676, 275, F16, 39) (dual of [275, 199, 40]-code) | [i] | ||
| 117 | Linear OA(1677, 278, F16, 39) (dual of [278, 201, 40]-code) | [i] | ||
| 118 | Linear OA(1678, 275, F16, 40) (dual of [275, 197, 41]-code) | [i] | ||
| 119 | Linear OA(1679, 278, F16, 40) (dual of [278, 199, 41]-code) | [i] | ||
| 120 | Linear OA(1681, 278, F16, 41) (dual of [278, 197, 42]-code) | [i] | ||
| 121 | Linear OA(1696, 270, F16, 53) (dual of [270, 174, 54]-code) | [i] | ||
| 122 | Linear OA(1698, 270, F16, 54) (dual of [270, 172, 55]-code) | [i] | ||
| 123 | Linear OA(16100, 270, F16, 55) (dual of [270, 170, 56]-code) | [i] | ||
| 124 | Linear OA(16121, 268, F16, 70) (dual of [268, 147, 71]-code) | [i] | ||
| 125 | Linear OA(16123, 268, F16, 71) (dual of [268, 145, 72]-code) | [i] | ||
| 126 | Linear OA(16121, 267, F16, 70) (dual of [267, 146, 71]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 127 | Linear OA(16119, 267, F16, 69) (dual of [267, 148, 70]-code) | [i] | ||
| 128 | Linear OA(16118, 268, F16, 68) (dual of [268, 150, 69]-code) | [i] | ||
| 129 | Linear OA(1698, 269, F16, 54) (dual of [269, 171, 55]-code) | [i] | ||
| 130 | Linear OA(1696, 269, F16, 53) (dual of [269, 173, 54]-code) | [i] | ||
| 131 | Linear OA(1694, 269, F16, 52) (dual of [269, 175, 53]-code) | [i] | ||
| 132 | Linear OA(1693, 270, F16, 51) (dual of [270, 177, 52]-code) | [i] | ||
| 133 | Linear OA(1673, 271, F16, 38) (dual of [271, 198, 39]-code) | [i] | ||
| 134 | Linear OA(1671, 271, F16, 37) (dual of [271, 200, 38]-code) | [i] | ||
| 135 | Linear OA(1669, 271, F16, 36) (dual of [271, 202, 37]-code) | [i] | ||
| 136 | Linear OA(1667, 271, F16, 35) (dual of [271, 204, 36]-code) | [i] | ||
| 137 | Linear OA(1666, 272, F16, 34) (dual of [272, 206, 35]-code) | [i] | ||
| 138 | Linear OA(1661, 101, F16, 36) (dual of [101, 40, 37]-code) | [i] | ||