Information on Result #616188
Linear OA(165, 17, F16, 5) (dual of [17, 12, 6]-code or 17-arc in PG(4,16)), using the expurgated narrow-sense BCH-code C(I) with length 17 | 162−1, defining interval I = [0,2], and minimum distance d ≥ |{−2,−1,0,1,2}|+1 = 6 (BCH-bound)
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
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(1627, 531, F16, 11) (dual of [531, 504, 12]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(1636, 4114, F16, 11) (dual of [4114, 4078, 12]-code) | [i] | ||
| 3 | Linear OA(1647, 131091, F16, 11) (dual of [131091, 131044, 12]-code) | [i] | ||
| 4 | Linear OA(1656, 1048594, F16, 11) (dual of [1048594, 1048538, 12]-code) | [i] | ||
| 5 | Linear OA(1625, 531, F16, 10) (dual of [531, 506, 11]-code) | [i] | ||
| 6 | Linear OA(1633, 4113, F16, 10) (dual of [4113, 4080, 11]-code) | [i] | ||
| 7 | Linear OA(1643, 131089, F16, 10) (dual of [131089, 131046, 11]-code) | [i] | ||
| 8 | Linear OA(1651, 1048593, F16, 10) (dual of [1048593, 1048542, 11]-code) | [i] | ||
| 9 | Linear OA(1647, 131093, F16, 11) (dual of [131093, 131046, 12]-code) | [i] | ||
| 10 | Linear OA(1643, 131093, F16, 10) (dual of [131093, 131050, 11]-code) | [i] | ||
| 11 | OA(1660, 2097172, S16, 11) | [i] | ||
| 12 | OA(1654, 2097172, S16, 10) | [i] | ||
| 13 | Linear OA(1659, 4130, F16, 17) (dual of [4130, 4071, 18]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 14 | Linear OA(1689, 1048610, F16, 17) (dual of [1048610, 1048521, 18]-code) | [i] | ||
| 15 | Linear OA(1690, 1048617, F16, 17) (dual of [1048617, 1048527, 18]-code) | [i] | ||
| 16 | Linear OA(1655, 4131, F16, 15) (dual of [4131, 4076, 16]-code) | [i] | ||
| 17 | Linear OA(1670, 131108, F16, 15) (dual of [131108, 131038, 16]-code) | [i] | ||
| 18 | Linear OA(1683, 1048611, F16, 15) (dual of [1048611, 1048528, 16]-code) | [i] | ||
| 19 | Linear OA(1684, 1048618, F16, 15) (dual of [1048618, 1048534, 16]-code) | [i] | ||
| 20 | Linear OA(1639, 4131, F16, 11) (dual of [4131, 4092, 12]-code) | [i] | ||
| 21 | Linear OA(1650, 131108, F16, 11) (dual of [131108, 131058, 12]-code) | [i] | ||
| 22 | Linear OA(1659, 1048611, F16, 11) (dual of [1048611, 1048552, 12]-code) | [i] | ||
| 23 | Linear OA(1654, 1048610, F16, 10) (dual of [1048610, 1048556, 11]-code) | [i] | ||
| 24 | Linear OA(166, 19, F16, 5) (dual of [19, 13, 6]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 25 | Linear OA(16126, 65554, F16, 33) (dual of [65554, 65428, 34]-code) | [i] | ||
| 26 | Linear OA(16102, 4114, F16, 35) (dual of [4114, 4012, 36]-code) | [i] | ||
| 27 | Linear OA(1696, 4114, F16, 33) (dual of [4114, 4018, 34]-code) | [i] | ||
| 28 | Linear OA(16130, 274, F16, 75) (dual of [274, 144, 76]-code) | [i] | ||
| 29 | Linear OA(16118, 274, F16, 61) (dual of [274, 156, 62]-code) | [i] | ||
| 30 | Linear OA(16114, 274, F16, 59) (dual of [274, 160, 60]-code) | [i] | ||
| 31 | Linear OA(16110, 274, F16, 57) (dual of [274, 164, 58]-code) | [i] | ||
| 32 | Linear OA(16106, 274, F16, 55) (dual of [274, 168, 56]-code) | [i] | ||
| 33 | Linear OA(16102, 274, F16, 53) (dual of [274, 172, 54]-code) | [i] | ||
| 34 | Linear OA(1698, 274, F16, 51) (dual of [274, 176, 52]-code) | [i] | ||
| 35 | Linear OA(1694, 274, F16, 49) (dual of [274, 180, 50]-code) | [i] | ||
| 36 | Linear OA(1690, 274, F16, 47) (dual of [274, 184, 48]-code) | [i] | ||
| 37 | Linear OA(1686, 274, F16, 45) (dual of [274, 188, 46]-code) | [i] | ||
| 38 | Linear OA(1682, 274, F16, 43) (dual of [274, 192, 44]-code) | [i] | ||
| 39 | Linear OA(1678, 274, F16, 41) (dual of [274, 196, 42]-code) | [i] | ||
| 40 | Linear OA(16105, 274, F16, 58) (dual of [274, 169, 59]-code) | [i] | ||
| 41 | Linear OA(1681, 276, F16, 42) (dual of [276, 195, 43]-code) | [i] | Construction XX with Cyclic Codes | |
| 42 | Linear OA(1680, 274, F16, 42) (dual of [274, 194, 43]-code) | [i] | ||
| 43 | Linear OA(1684, 279, F16, 43) (dual of [279, 195, 44]-code) | [i] | ||
| 44 | Linear OA(1683, 277, F16, 43) (dual of [277, 194, 44]-code) | [i] | ||
| 45 | Linear OA(1687, 282, F16, 44) (dual of [282, 195, 45]-code) | [i] | ||
| 46 | Linear OA(1686, 280, F16, 44) (dual of [280, 194, 45]-code) | [i] | ||
| 47 | Linear OA(1685, 277, F16, 44) (dual of [277, 192, 45]-code) | [i] | ||
| 48 | Linear OA(1684, 274, F16, 44) (dual of [274, 190, 45]-code) | [i] | ||
| 49 | Linear OA(1689, 283, F16, 45) (dual of [283, 194, 46]-code) | [i] | ||
| 50 | Linear OA(1688, 280, F16, 45) (dual of [280, 192, 46]-code) | [i] | ||
| 51 | Linear OA(1687, 277, F16, 45) (dual of [277, 190, 46]-code) | [i] | ||
| 52 | Linear OA(1691, 283, F16, 46) (dual of [283, 192, 47]-code) | [i] | ||
| 53 | Linear OA(1690, 280, F16, 46) (dual of [280, 190, 47]-code) | [i] | ||
| 54 | Linear OA(1689, 277, F16, 46) (dual of [277, 188, 47]-code) | [i] | ||
| 55 | Linear OA(1688, 274, F16, 46) (dual of [274, 186, 47]-code) | [i] | ||
| 56 | Linear OA(1693, 283, F16, 47) (dual of [283, 190, 48]-code) | [i] | ||
| 57 | Linear OA(1692, 280, F16, 47) (dual of [280, 188, 48]-code) | [i] | ||
| 58 | Linear OA(1691, 277, F16, 47) (dual of [277, 186, 48]-code) | [i] | ||
| 59 | Linear OA(1695, 283, F16, 48) (dual of [283, 188, 49]-code) | [i] | ||
| 60 | Linear OA(1694, 280, F16, 48) (dual of [280, 186, 49]-code) | [i] | ||
| 61 | Linear OA(1693, 277, F16, 48) (dual of [277, 184, 49]-code) | [i] | ||
| 62 | Linear OA(1692, 274, F16, 48) (dual of [274, 182, 49]-code) | [i] | ||
| 63 | Linear OA(1697, 283, F16, 49) (dual of [283, 186, 50]-code) | [i] | ||
| 64 | Linear OA(16115, 295, F16, 58) (dual of [295, 180, 59]-code) | [i] | ||
| 65 | Linear OA(16117, 295, F16, 59) (dual of [295, 178, 60]-code) | [i] | ||
| 66 | Linear OA(16112, 288, F16, 58) (dual of [288, 176, 59]-code) | [i] | ||
| 67 | Linear OA(16119, 295, F16, 60) (dual of [295, 176, 61]-code) | [i] | ||
| 68 | Linear OA(16114, 288, F16, 59) (dual of [288, 174, 60]-code) | [i] | ||
| 69 | Linear OA(16121, 295, F16, 61) (dual of [295, 174, 62]-code) | [i] | ||
| 70 | Linear OA(16116, 288, F16, 60) (dual of [288, 172, 61]-code) | [i] | ||
| 71 | Linear OA(16123, 295, F16, 62) (dual of [295, 172, 63]-code) | [i] | ||
| 72 | Linear OA(16108, 276, F16, 59) (dual of [276, 168, 60]-code) | [i] | ||
| 73 | Linear OA(16107, 274, F16, 59) (dual of [274, 167, 60]-code) | [i] | ||
| 74 | Linear OA(16118, 288, F16, 61) (dual of [288, 170, 62]-code) | [i] | ||
| 75 | Linear OA(16125, 295, F16, 63) (dual of [295, 170, 64]-code) | [i] | ||
| 76 | Linear OA(16111, 279, F16, 60) (dual of [279, 168, 61]-code) | [i] | ||
| 77 | Linear OA(16110, 277, F16, 60) (dual of [277, 167, 61]-code) | [i] | ||
| 78 | Linear OA(16109, 274, F16, 60) (dual of [274, 165, 61]-code) | [i] | ||
| 79 | Linear OA(16114, 282, F16, 61) (dual of [282, 168, 62]-code) | [i] | ||
| 80 | Linear OA(16113, 280, F16, 61) (dual of [280, 167, 62]-code) | [i] | ||
| 81 | Linear OA(16112, 277, F16, 61) (dual of [277, 165, 62]-code) | [i] | ||
| 82 | Linear OA(16111, 274, F16, 61) (dual of [274, 163, 62]-code) | [i] | ||
| 83 | Linear OA(16117, 285, F16, 62) (dual of [285, 168, 63]-code) | [i] | ||
| 84 | Linear OA(16116, 283, F16, 62) (dual of [283, 167, 63]-code) | [i] | ||
| 85 | Linear OA(16115, 280, F16, 62) (dual of [280, 165, 63]-code) | [i] | ||
| 86 | Linear OA(16114, 277, F16, 62) (dual of [277, 163, 63]-code) | [i] | ||
| 87 | Linear OA(16113, 274, F16, 62) (dual of [274, 161, 63]-code) | [i] | ||
| 88 | Linear OA(16120, 288, F16, 63) (dual of [288, 168, 64]-code) | [i] | ||
| 89 | Linear OA(16119, 286, F16, 63) (dual of [286, 167, 64]-code) | [i] | ||
| 90 | Linear OA(16118, 283, F16, 63) (dual of [283, 165, 64]-code) | [i] | ||
| 91 | Linear OA(16117, 280, F16, 63) (dual of [280, 163, 64]-code) | [i] | ||
| 92 | Linear OA(16116, 277, F16, 63) (dual of [277, 161, 64]-code) | [i] | ||
| 93 | Linear OA(16115, 274, F16, 63) (dual of [274, 159, 64]-code) | [i] | ||
| 94 | Linear OA(16122, 289, F16, 64) (dual of [289, 167, 65]-code) | [i] | ||
| 95 | Linear OA(16122, 289, F16, 64) (dual of [289, 167, 65]-code) | [i] | ||
| 96 | Linear OA(16121, 286, F16, 64) (dual of [286, 165, 65]-code) | [i] | ||
| 97 | Linear OA(16120, 283, F16, 64) (dual of [283, 163, 65]-code) | [i] | ||
| 98 | Linear OA(16119, 280, F16, 64) (dual of [280, 161, 65]-code) | [i] | ||
| 99 | Linear OA(16118, 277, F16, 64) (dual of [277, 159, 65]-code) | [i] | ||
| 100 | Linear OA(16117, 274, F16, 64) (dual of [274, 157, 65]-code) | [i] | ||
| 101 | Linear OA(16124, 289, F16, 65) (dual of [289, 165, 66]-code) | [i] | ||
| 102 | Linear OA(16124, 289, F16, 65) (dual of [289, 165, 66]-code) | [i] | ||
| 103 | Linear OA(16123, 286, F16, 65) (dual of [286, 163, 66]-code) | [i] | ||
| 104 | Linear OA(16122, 283, F16, 65) (dual of [283, 161, 66]-code) | [i] | ||
| 105 | Linear OA(16117, 273, F16, 64) (dual of [273, 156, 65]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 106 | Linear OA(16115, 273, F16, 63) (dual of [273, 158, 64]-code) | [i] | ||
| 107 | Linear OA(16113, 273, F16, 62) (dual of [273, 160, 63]-code) | [i] | ||
| 108 | Linear OA(16111, 273, F16, 61) (dual of [273, 162, 62]-code) | [i] | ||
| 109 | Linear OA(16109, 273, F16, 60) (dual of [273, 164, 61]-code) | [i] | ||
| 110 | Linear OA(16107, 273, F16, 59) (dual of [273, 166, 60]-code) | [i] | ||
| 111 | Linear OA(16105, 273, F16, 58) (dual of [273, 168, 59]-code) | [i] | ||
| 112 | Linear OA(1692, 273, F16, 48) (dual of [273, 181, 49]-code) | [i] | ||
| 113 | Linear OA(1688, 273, F16, 46) (dual of [273, 185, 47]-code) | [i] | ||
| 114 | Linear OA(1684, 273, F16, 44) (dual of [273, 189, 45]-code) | [i] | ||
| 115 | Linear OA(1680, 273, F16, 42) (dual of [273, 193, 43]-code) | [i] | ||
| 116 | Linear OA(16107, 277, F16, 57) (dual of [277, 170, 58]-code) | [i] | Construction XX with a Chain of Extended Narrow-Sense BCH Codes | |
| 117 | Linear OA(1679, 276, F16, 40) (dual of [276, 197, 41]-code) | [i] | ||