Information on Result #622349
Linear OA(1610, 24, F16, 9) (dual of [24, 14, 10]-code), using extended algebraic-geometric code AGe(F,14P) based on function field F/F16 with g(F) = 1 and N(F) ≥ 24, using
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(1648, 538, F16, 19) (dual of [538, 490, 20]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(1662, 4120, F16, 19) (dual of [4120, 4058, 20]-code) | [i] | ||
| 3 | Linear OA(1684, 131098, F16, 19) (dual of [131098, 131014, 20]-code) | [i] | ||
| 4 | Linear OA(1696, 1048600, F16, 19) (dual of [1048600, 1048504, 20]-code) | [i] | ||
| 5 | Linear OA(1646, 538, F16, 18) (dual of [538, 492, 19]-code) | [i] | ||
| 6 | Linear OA(1659, 4120, F16, 18) (dual of [4120, 4061, 19]-code) | [i] | ||
| 7 | Linear OA(1680, 131096, F16, 18) (dual of [131096, 131016, 19]-code) | [i] | ||
| 8 | Linear OA(1691, 1048600, F16, 18) (dual of [1048600, 1048509, 19]-code) | [i] | ||
| 9 | Linear OA(1675, 89, F16, 55) (dual of [89, 14, 56]-code) | [i] | Juxtaposition | |
| 10 | Linear OA(1675, 88, F16, 56) (dual of [88, 13, 57]-code) | [i] | ||
| 11 | Linear OA(1675, 86, F16, 58) (dual of [86, 11, 59]-code) | [i] | ||
| 12 | Linear OA(1675, 85, F16, 59) (dual of [85, 10, 60]-code) | [i] | ||
| 13 | Linear OOA(288, 72, F2, 2, 29) (dual of [(72, 2), 56, 30]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 14 | Linear OOA(286, 69, F2, 2, 29) (dual of [(69, 2), 52, 30]-NRT-code) | [i] | ||
| 15 | Linear OOA(284, 66, F2, 2, 29) (dual of [(66, 2), 48, 30]-NRT-code) | [i] | ||
| 16 | Linear OOA(282, 63, F2, 2, 29) (dual of [(63, 2), 44, 30]-NRT-code) | [i] | ||
| 17 | Linear OOA(280, 60, F2, 2, 29) (dual of [(60, 2), 40, 30]-NRT-code) | [i] | ||
| 18 | Linear OOA(278, 57, F2, 2, 29) (dual of [(57, 2), 36, 30]-NRT-code) | [i] | ||
| 19 | Linear OOA(2155, 69, F2, 3, 59) (dual of [(69, 3), 52, 60]-NRT-code) | [i] | ||
| 20 | Linear OOA(2145, 63, F2, 3, 59) (dual of [(63, 3), 44, 60]-NRT-code) | [i] | ||
| 21 | Linear OOA(2140, 60, F2, 3, 59) (dual of [(60, 3), 40, 60]-NRT-code) | [i] | ||
| 22 | Linear OOA(2135, 57, F2, 3, 59) (dual of [(57, 3), 36, 60]-NRT-code) | [i] | ||
| 23 | Linear OA(1671, 84, F16, 55) (dual of [84, 13, 56]-code) | [i] | Construction X with Algebraic-Geometric Codes | |
| 24 | Linear OA(1670, 84, F16, 54) (dual of [84, 14, 55]-code) | [i] | ||
| 25 | Linear OA(1669, 84, F16, 53) (dual of [84, 15, 54]-code) | [i] | ||
| 26 | Linear OA(1668, 84, F16, 52) (dual of [84, 16, 53]-code) | [i] | ||
| 27 | Linear OA(1667, 84, F16, 51) (dual of [84, 17, 52]-code) | [i] | ||
| 28 | Linear OA(1666, 84, F16, 50) (dual of [84, 18, 51]-code) | [i] | ||
| 29 | Linear OA(1665, 84, F16, 49) (dual of [84, 19, 50]-code) | [i] | ||
| 30 | Linear OA(1664, 84, F16, 48) (dual of [84, 20, 49]-code) | [i] | ||
| 31 | Linear OA(1663, 84, F16, 47) (dual of [84, 21, 48]-code) | [i] | ||
| 32 | Linear OA(1662, 84, F16, 46) (dual of [84, 22, 47]-code) | [i] | ||
| 33 | Linear OA(1661, 84, F16, 45) (dual of [84, 23, 46]-code) | [i] | ||
| 34 | Linear OA(1660, 84, F16, 44) (dual of [84, 24, 45]-code) | [i] | ||
| 35 | Linear OA(1659, 84, F16, 43) (dual of [84, 25, 44]-code) | [i] | ||
| 36 | Linear OA(1658, 84, F16, 42) (dual of [84, 26, 43]-code) | [i] | ||
| 37 | Linear OA(1657, 84, F16, 41) (dual of [84, 27, 42]-code) | [i] | ||
| 38 | Linear OA(1656, 84, F16, 40) (dual of [84, 28, 41]-code) | [i] | ||
| 39 | Linear OA(1655, 84, F16, 39) (dual of [84, 29, 40]-code) | [i] | ||
| 40 | Linear OA(1654, 84, F16, 38) (dual of [84, 30, 39]-code) | [i] | ||
| 41 | Linear OA(1653, 84, F16, 37) (dual of [84, 31, 38]-code) | [i] | ||
| 42 | Linear OA(1652, 84, F16, 36) (dual of [84, 32, 37]-code) | [i] | ||
| 43 | Linear OA(1651, 84, F16, 35) (dual of [84, 33, 36]-code) | [i] | ||
| 44 | Linear OA(1650, 84, F16, 34) (dual of [84, 34, 35]-code) | [i] | ||
| 45 | Linear OA(1649, 84, F16, 33) (dual of [84, 35, 34]-code) | [i] | ||
| 46 | Linear OA(1648, 84, F16, 32) (dual of [84, 36, 33]-code) | [i] | ||
| 47 | Linear OA(1647, 84, F16, 31) (dual of [84, 37, 32]-code) | [i] | ||
| 48 | Linear OA(1646, 84, F16, 30) (dual of [84, 38, 31]-code) | [i] | ||
| 49 | Linear OA(1645, 84, F16, 29) (dual of [84, 39, 30]-code) | [i] | ||
| 50 | Linear OA(1642, 84, F16, 26) (dual of [84, 42, 27]-code) | [i] | ||
| 51 | Linear OA(1670, 83, F16, 55) (dual of [83, 13, 56]-code) | [i] | ||
| 52 | Linear OA(1669, 83, F16, 54) (dual of [83, 14, 55]-code) | [i] | ||
| 53 | Linear OA(1668, 83, F16, 53) (dual of [83, 15, 54]-code) | [i] | ||
| 54 | Linear OA(16102, 1048617, F16, 19) (dual of [1048617, 1048515, 20]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 55 | Linear OA(16123, 281, F16, 63) (dual of [281, 158, 64]-code) | [i] | Construction X with Cyclic Codes | |
| 56 | Linear OA(16101, 282, F16, 53) (dual of [282, 181, 54]-code) | [i] | Construction XX with Cyclic Codes | |
| 57 | Linear OA(16100, 280, F16, 53) (dual of [280, 180, 54]-code) | [i] | ||
| 58 | Linear OA(16103, 282, F16, 54) (dual of [282, 179, 55]-code) | [i] | ||
| 59 | Linear OA(16102, 280, F16, 54) (dual of [280, 178, 55]-code) | [i] | ||
| 60 | Linear OA(16104, 285, F16, 54) (dual of [285, 181, 55]-code) | [i] | ||
| 61 | Linear OA(16103, 283, F16, 54) (dual of [283, 180, 55]-code) | [i] | ||
| 62 | Linear OA(16105, 282, F16, 55) (dual of [282, 177, 56]-code) | [i] | ||
| 63 | Linear OA(16104, 280, F16, 55) (dual of [280, 176, 56]-code) | [i] | ||
| 64 | Linear OA(16106, 285, F16, 55) (dual of [285, 179, 56]-code) | [i] | ||
| 65 | Linear OA(16105, 283, F16, 55) (dual of [283, 178, 56]-code) | [i] | ||
| 66 | Linear OA(16107, 288, F16, 55) (dual of [288, 181, 56]-code) | [i] | ||
| 67 | Linear OA(16106, 286, F16, 55) (dual of [286, 180, 56]-code) | [i] | ||
| 68 | Linear OA(16107, 282, F16, 56) (dual of [282, 175, 57]-code) | [i] | ||
| 69 | Linear OA(16106, 280, F16, 56) (dual of [280, 174, 57]-code) | [i] | ||
| 70 | Linear OA(16108, 285, F16, 56) (dual of [285, 177, 57]-code) | [i] | ||
| 71 | Linear OA(16107, 283, F16, 56) (dual of [283, 176, 57]-code) | [i] | ||
| 72 | Linear OA(16109, 288, F16, 56) (dual of [288, 179, 57]-code) | [i] | ||
| 73 | Linear OA(16108, 286, F16, 56) (dual of [286, 178, 57]-code) | [i] | ||
| 74 | Linear OA(16110, 291, F16, 56) (dual of [291, 181, 57]-code) | [i] | ||
| 75 | Linear OA(16109, 289, F16, 56) (dual of [289, 180, 57]-code) | [i] | ||
| 76 | Linear OA(16109, 282, F16, 57) (dual of [282, 173, 58]-code) | [i] | ||
| 77 | Linear OA(16108, 280, F16, 57) (dual of [280, 172, 58]-code) | [i] | ||
| 78 | Linear OA(16110, 285, F16, 57) (dual of [285, 175, 58]-code) | [i] | ||
| 79 | Linear OA(16109, 283, F16, 57) (dual of [283, 174, 58]-code) | [i] | ||
| 80 | Linear OA(16111, 288, F16, 57) (dual of [288, 177, 58]-code) | [i] | ||
| 81 | Linear OA(16110, 286, F16, 57) (dual of [286, 176, 58]-code) | [i] | ||
| 82 | Linear OA(16112, 291, F16, 57) (dual of [291, 179, 58]-code) | [i] | ||
| 83 | Linear OA(16111, 289, F16, 57) (dual of [289, 178, 58]-code) | [i] | ||
| 84 | Linear OA(16113, 294, F16, 57) (dual of [294, 181, 58]-code) | [i] | ||
| 85 | Linear OA(16112, 292, F16, 57) (dual of [292, 180, 58]-code) | [i] | ||
| 86 | Linear OA(16111, 282, F16, 58) (dual of [282, 171, 59]-code) | [i] | ||
| 87 | Linear OA(16110, 280, F16, 58) (dual of [280, 170, 59]-code) | [i] | ||
| 88 | Linear OA(16112, 285, F16, 58) (dual of [285, 173, 59]-code) | [i] | ||
| 89 | Linear OA(16111, 283, F16, 58) (dual of [283, 172, 59]-code) | [i] | ||
| 90 | Linear OA(16113, 288, F16, 58) (dual of [288, 175, 59]-code) | [i] | ||
| 91 | Linear OA(16112, 286, F16, 58) (dual of [286, 174, 59]-code) | [i] | ||
| 92 | Linear OA(16114, 291, F16, 58) (dual of [291, 177, 59]-code) | [i] | ||
| 93 | Linear OA(16113, 289, F16, 58) (dual of [289, 176, 59]-code) | [i] | ||
| 94 | Linear OA(16115, 294, F16, 58) (dual of [294, 179, 59]-code) | [i] | ||
| 95 | Linear OA(16114, 292, F16, 58) (dual of [292, 178, 59]-code) | [i] | ||
| 96 | Linear OA(16115, 295, F16, 58) (dual of [295, 180, 59]-code) | [i] | ||
| 97 | Linear OA(16114, 285, F16, 59) (dual of [285, 171, 60]-code) | [i] | ||
| 98 | Linear OA(16113, 283, F16, 59) (dual of [283, 170, 60]-code) | [i] | ||
| 99 | Linear OA(16115, 288, F16, 59) (dual of [288, 173, 60]-code) | [i] | ||
| 100 | Linear OA(16114, 286, F16, 59) (dual of [286, 172, 60]-code) | [i] | ||
| 101 | Linear OA(16116, 291, F16, 59) (dual of [291, 175, 60]-code) | [i] | ||
| 102 | Linear OA(16115, 289, F16, 59) (dual of [289, 174, 60]-code) | [i] | ||
| 103 | Linear OA(16117, 294, F16, 59) (dual of [294, 177, 60]-code) | [i] | ||
| 104 | Linear OA(16116, 292, F16, 59) (dual of [292, 176, 60]-code) | [i] | ||
| 105 | Linear OA(16117, 295, F16, 59) (dual of [295, 178, 60]-code) | [i] | ||
| 106 | Linear OA(16117, 288, F16, 60) (dual of [288, 171, 61]-code) | [i] | ||
| 107 | Linear OA(16116, 286, F16, 60) (dual of [286, 170, 61]-code) | [i] | ||
| 108 | Linear OA(16118, 291, F16, 60) (dual of [291, 173, 61]-code) | [i] | ||
| 109 | Linear OA(16117, 289, F16, 60) (dual of [289, 172, 61]-code) | [i] | ||
| 110 | Linear OA(16119, 294, F16, 60) (dual of [294, 175, 61]-code) | [i] | ||
| 111 | Linear OA(16118, 292, F16, 60) (dual of [292, 174, 61]-code) | [i] | ||
| 112 | Linear OA(16119, 295, F16, 60) (dual of [295, 176, 61]-code) | [i] | ||
| 113 | Linear OA(16120, 291, F16, 61) (dual of [291, 171, 62]-code) | [i] | ||
| 114 | Linear OA(16119, 289, F16, 61) (dual of [289, 170, 62]-code) | [i] | ||
| 115 | Linear OA(16121, 294, F16, 61) (dual of [294, 173, 62]-code) | [i] | ||
| 116 | Linear OA(16120, 292, F16, 61) (dual of [292, 172, 62]-code) | [i] | ||
| 117 | Linear OA(16121, 295, F16, 61) (dual of [295, 174, 62]-code) | [i] | ||
| 118 | Linear OA(16123, 294, F16, 62) (dual of [294, 171, 63]-code) | [i] | ||
| 119 | Linear OA(16122, 292, F16, 62) (dual of [292, 170, 63]-code) | [i] | ||
| 120 | Linear OA(16123, 295, F16, 62) (dual of [295, 172, 63]-code) | [i] | ||
| 121 | Linear OA(16125, 295, F16, 63) (dual of [295, 170, 64]-code) | [i] | ||
| 122 | Linear OA(16125, 278, F16, 70) (dual of [278, 153, 71]-code) | [i] | ||
| 123 | Linear OA(16127, 278, F16, 71) (dual of [278, 151, 72]-code) | [i] | ||
| 124 | Linear OA(16129, 278, F16, 72) (dual of [278, 149, 73]-code) | [i] | ||
| 125 | Linear OA(16129, 277, F16, 72) (dual of [277, 148, 73]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 126 | Linear OA(16127, 277, F16, 71) (dual of [277, 150, 72]-code) | [i] | ||
| 127 | Linear OA(16125, 277, F16, 70) (dual of [277, 152, 71]-code) | [i] | ||
| 128 | Linear OA(16123, 277, F16, 69) (dual of [277, 154, 70]-code) | [i] | ||
| 129 | Linear OA(16122, 278, F16, 68) (dual of [278, 156, 69]-code) | [i] | ||
| 130 | Linear OA(16122, 280, F16, 67) (dual of [280, 158, 68]-code) | [i] | ||
| 131 | Linear OA(16108, 279, F16, 57) (dual of [279, 171, 58]-code) | [i] | ||
| 132 | Linear OA(16106, 279, F16, 56) (dual of [279, 173, 57]-code) | [i] | ||
| 133 | Linear OA(16104, 279, F16, 55) (dual of [279, 175, 56]-code) | [i] | ||
| 134 | Linear OA(16102, 279, F16, 54) (dual of [279, 177, 55]-code) | [i] | ||
| 135 | Linear OA(16100, 279, F16, 53) (dual of [279, 179, 54]-code) | [i] | ||
| 136 | Linear OA(1698, 279, F16, 52) (dual of [279, 181, 53]-code) | [i] | ||
| 137 | Linear OA(1697, 280, F16, 51) (dual of [280, 183, 52]-code) | [i] | ||
| 138 | Linear OA(16109, 281, F16, 57) (dual of [281, 172, 58]-code) | [i] | Construction XX with a Chain of Extended Narrow-Sense BCH Codes | |
| 139 | Linear OA(16107, 281, F16, 56) (dual of [281, 174, 57]-code) | [i] | ||
| 140 | Linear OA(16105, 281, F16, 55) (dual of [281, 176, 56]-code) | [i] | ||
| 141 | Linear OA(16103, 281, F16, 54) (dual of [281, 178, 55]-code) | [i] | ||
| 142 | Linear OA(16101, 281, F16, 53) (dual of [281, 180, 54]-code) | [i] | ||
| 143 | Linear OA(1699, 281, F16, 52) (dual of [281, 182, 53]-code) | [i] | ||