Information on Result #644762
Linear OA(1634, 64, F16, 28) (dual of [64, 30, 29]-code), using algebraic-geometric code AG(F,35P) based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- the Hermitian function field over F16 [i]
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(1696, 124, F16, 57) (dual of [124, 28, 58]-code) | [i] | Repeating Each Code Word | |
| 2 | Linear OA(1695, 122, F16, 57) (dual of [122, 27, 58]-code) | [i] | ||
| 3 | Linear OA(1694, 120, F16, 57) (dual of [120, 26, 58]-code) | [i] | ||
| 4 | Linear OA(1693, 118, F16, 57) (dual of [118, 25, 58]-code) | [i] | ||
| 5 | Linear OA(1692, 116, F16, 57) (dual of [116, 24, 58]-code) | [i] | ||
| 6 | Linear OA(1691, 114, F16, 57) (dual of [114, 23, 58]-code) | [i] | ||
| 7 | Linear OA(1690, 112, F16, 57) (dual of [112, 22, 58]-code) | [i] | ||
| 8 | Linear OA(1689, 110, F16, 57) (dual of [110, 21, 58]-code) | [i] | ||
| 9 | Linear OA(1688, 108, F16, 57) (dual of [108, 20, 58]-code) | [i] | ||
| 10 | Linear OA(1687, 106, F16, 57) (dual of [106, 19, 58]-code) | [i] | ||
| 11 | Linear OA(1686, 104, F16, 57) (dual of [104, 18, 58]-code) | [i] | ||
| 12 | Linear OA(1685, 102, F16, 57) (dual of [102, 17, 58]-code) | [i] | ||
| 13 | Linear OA(1694, 126, F16, 57) (dual of [126, 32, 58]-code) | [i] | (u, u+v)-Construction | |
| 14 | Linear OA(2200, 320, F2, 57) (dual of [320, 120, 58]-code) | [i] | Concatenation of Two Codes | |
| 15 | Linear OA(2199, 315, F2, 57) (dual of [315, 116, 58]-code) | [i] | ||
| 16 | Linear OA(2198, 310, F2, 57) (dual of [310, 112, 58]-code) | [i] | ||
| 17 | Linear OA(2197, 305, F2, 57) (dual of [305, 108, 58]-code) | [i] | ||
| 18 | Linear OA(2196, 300, F2, 57) (dual of [300, 104, 58]-code) | [i] | ||
| 19 | Linear OA(2195, 295, F2, 57) (dual of [295, 100, 58]-code) | [i] | ||
| 20 | Linear OA(2194, 290, F2, 57) (dual of [290, 96, 58]-code) | [i] | ||
| 21 | Linear OA(2193, 285, F2, 57) (dual of [285, 92, 58]-code) | [i] | ||
| 22 | Linear OA(2192, 280, F2, 57) (dual of [280, 88, 58]-code) | [i] | ||
| 23 | Linear OA(2191, 275, F2, 57) (dual of [275, 84, 58]-code) | [i] | ||
| 24 | Linear OA(2190, 270, F2, 57) (dual of [270, 80, 58]-code) | [i] | ||
| 25 | Linear OA(2189, 265, F2, 57) (dual of [265, 76, 58]-code) | [i] | ||
| 26 | Linear OA(4132, 192, F4, 57) (dual of [192, 60, 58]-code) | [i] | ||
| 27 | Linear OA(4131, 189, F4, 57) (dual of [189, 58, 58]-code) | [i] | ||
| 28 | Linear OA(4130, 186, F4, 57) (dual of [186, 56, 58]-code) | [i] | ||
| 29 | Linear OA(4129, 183, F4, 57) (dual of [183, 54, 58]-code) | [i] | ||
| 30 | Linear OA(4128, 180, F4, 57) (dual of [180, 52, 58]-code) | [i] | ||
| 31 | Linear OA(4127, 177, F4, 57) (dual of [177, 50, 58]-code) | [i] | ||
| 32 | Linear OA(4126, 174, F4, 57) (dual of [174, 48, 58]-code) | [i] | ||
| 33 | Linear OA(4125, 171, F4, 57) (dual of [171, 46, 58]-code) | [i] | ||
| 34 | Linear OA(4124, 168, F4, 57) (dual of [168, 44, 58]-code) | [i] | ||
| 35 | Linear OA(4123, 165, F4, 57) (dual of [165, 42, 58]-code) | [i] | ||
| 36 | Linear OA(4122, 162, F4, 57) (dual of [162, 40, 58]-code) | [i] | ||
| 37 | Linear OA(4121, 159, F4, 57) (dual of [159, 38, 58]-code) | [i] | ||
| 38 | Linear OA(4120, 156, F4, 57) (dual of [156, 36, 58]-code) | [i] | ||
| 39 | Linear OA(4119, 153, F4, 57) (dual of [153, 34, 58]-code) | [i] | ||
| 40 | Linear OA(4174, 212, F4, 86) (dual of [212, 38, 87]-code) | [i] | ||
| 41 | Linear OA(4172, 208, F4, 86) (dual of [208, 36, 87]-code) | [i] | ||
| 42 | Linear OA(4170, 204, F4, 86) (dual of [204, 34, 87]-code) | [i] | ||
| 43 | Linear OA(4260, 320, F4, 115) (dual of [320, 60, 116]-code) | [i] | ||
| 44 | Linear OA(4257, 315, F4, 115) (dual of [315, 58, 116]-code) | [i] | ||
| 45 | Linear OA(4254, 310, F4, 115) (dual of [310, 56, 116]-code) | [i] | ||
| 46 | Linear OA(4251, 305, F4, 115) (dual of [305, 54, 116]-code) | [i] | ||
| 47 | Linear OA(4248, 300, F4, 115) (dual of [300, 52, 116]-code) | [i] | ||
| 48 | Linear OA(4245, 295, F4, 115) (dual of [295, 50, 116]-code) | [i] | ||
| 49 | Linear OA(4242, 290, F4, 115) (dual of [290, 48, 116]-code) | [i] | ||
| 50 | Linear OA(4239, 285, F4, 115) (dual of [285, 46, 116]-code) | [i] | ||
| 51 | Linear OA(4236, 280, F4, 115) (dual of [280, 44, 116]-code) | [i] | ||
| 52 | Linear OOA(2260, 186, F2, 2, 86) (dual of [(186, 2), 112, 87]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 53 | Linear OOA(2258, 183, F2, 2, 86) (dual of [(183, 2), 108, 87]-NRT-code) | [i] | ||
| 54 | Linear OOA(2256, 180, F2, 2, 86) (dual of [(180, 2), 104, 87]-NRT-code) | [i] | ||
| 55 | Linear OOA(2254, 177, F2, 2, 86) (dual of [(177, 2), 100, 87]-NRT-code) | [i] | ||
| 56 | Linear OOA(2252, 174, F2, 2, 86) (dual of [(174, 2), 96, 87]-NRT-code) | [i] | ||
| 57 | Linear OOA(2250, 171, F2, 2, 86) (dual of [(171, 2), 92, 87]-NRT-code) | [i] | ||
| 58 | Linear OOA(2248, 168, F2, 2, 86) (dual of [(168, 2), 88, 87]-NRT-code) | [i] | ||
| 59 | Linear OOA(2246, 165, F2, 2, 86) (dual of [(165, 2), 84, 87]-NRT-code) | [i] | ||
| 60 | Linear OOA(2244, 162, F2, 2, 86) (dual of [(162, 2), 80, 87]-NRT-code) | [i] | ||
| 61 | Linear OOA(2242, 159, F2, 2, 86) (dual of [(159, 2), 76, 87]-NRT-code) | [i] | ||
| 62 | Linear OOA(2240, 156, F2, 2, 86) (dual of [(156, 2), 72, 87]-NRT-code) | [i] | ||
| 63 | Linear OOA(2238, 153, F2, 2, 86) (dual of [(153, 2), 68, 87]-NRT-code) | [i] | ||
| 64 | Linear OOA(2260, 124, F2, 3, 86) (dual of [(124, 3), 112, 87]-NRT-code) | [i] | ||
| 65 | Linear OOA(2258, 122, F2, 3, 86) (dual of [(122, 3), 108, 87]-NRT-code) | [i] | ||
| 66 | Linear OOA(2256, 120, F2, 3, 86) (dual of [(120, 3), 104, 87]-NRT-code) | [i] | ||
| 67 | Linear OOA(2254, 118, F2, 3, 86) (dual of [(118, 3), 100, 87]-NRT-code) | [i] | ||
| 68 | Linear OA(1637, 67, F16, 30) (dual of [67, 30, 31]-code) | [i] | ✔ | Construction X with Algebraic-Geometric Codes |
| 69 | Linear OA(1635, 67, F16, 28) (dual of [67, 32, 29]-code) | [i] | ✔ | |
| 70 | Linear OA(1639, 69, F16, 31) (dual of [69, 30, 32]-code) | [i] | ✔ | |
| 71 | Linear OA(1636, 69, F16, 28) (dual of [69, 33, 29]-code) | [i] | ✔ | |
| 72 | Linear OA(1641, 71, F16, 32) (dual of [71, 30, 33]-code) | [i] | ✔ | |
| 73 | Linear OA(1637, 71, F16, 28) (dual of [71, 34, 29]-code) | [i] | ✔ | |
| 74 | Linear OA(1643, 73, F16, 33) (dual of [73, 30, 34]-code) | [i] | ✔ | |
| 75 | Linear OA(1638, 73, F16, 28) (dual of [73, 35, 29]-code) | [i] | ✔ | |
| 76 | Linear OA(1645, 75, F16, 34) (dual of [75, 30, 35]-code) | [i] | ✔ | |
| 77 | Linear OA(1639, 75, F16, 28) (dual of [75, 36, 29]-code) | [i] | ✔ | |
| 78 | Linear OA(1647, 77, F16, 35) (dual of [77, 30, 36]-code) | [i] | ✔ | |
| 79 | Linear OA(1640, 77, F16, 28) (dual of [77, 37, 29]-code) | [i] | ✔ | |
| 80 | Linear OA(1649, 79, F16, 36) (dual of [79, 30, 37]-code) | [i] | ✔ | |
| 81 | Linear OA(1641, 79, F16, 28) (dual of [79, 38, 29]-code) | [i] | ✔ | |
| 82 | Linear OA(1651, 81, F16, 37) (dual of [81, 30, 38]-code) | [i] | ✔ | |
| 83 | Linear OA(1642, 81, F16, 28) (dual of [81, 39, 29]-code) | [i] | ✔ | |
| 84 | Linear OA(1654, 84, F16, 38) (dual of [84, 30, 39]-code) | [i] | ✔ | |
| 85 | Linear OA(1656, 86, F16, 39) (dual of [86, 30, 40]-code) | [i] | ✔ | |
| 86 | Linear OA(1658, 88, F16, 40) (dual of [88, 30, 41]-code) | [i] | ✔ | |
| 87 | Linear OA(1646, 88, F16, 28) (dual of [88, 42, 29]-code) | [i] | ✔ | |
| 88 | Linear OA(1661, 91, F16, 41) (dual of [91, 30, 42]-code) | [i] | ✔ | |
| 89 | Linear OA(1648, 91, F16, 28) (dual of [91, 43, 29]-code) | [i] | ✔ | |
| 90 | Linear OA(1663, 93, F16, 42) (dual of [93, 30, 43]-code) | [i] | ✔ | |
| 91 | Linear OA(1649, 93, F16, 28) (dual of [93, 44, 29]-code) | [i] | ✔ | |
| 92 | Linear OA(1665, 95, F16, 43) (dual of [95, 30, 44]-code) | [i] | ✔ | |
| 93 | Linear OA(1650, 95, F16, 28) (dual of [95, 45, 29]-code) | [i] | ✔ | |
| 94 | Linear OA(1667, 97, F16, 44) (dual of [97, 30, 45]-code) | [i] | ✔ | |
| 95 | Linear OA(1651, 97, F16, 28) (dual of [97, 46, 29]-code) | [i] | ✔ | |
| 96 | Linear OA(1670, 100, F16, 45) (dual of [100, 30, 46]-code) | [i] | ✔ | |
| 97 | Linear OA(1672, 102, F16, 46) (dual of [102, 30, 47]-code) | [i] | ✔ | |
| 98 | Linear OA(1675, 105, F16, 47) (dual of [105, 30, 48]-code) | [i] | ✔ | |
| 99 | Linear OA(1677, 107, F16, 48) (dual of [107, 30, 49]-code) | [i] | ✔ | |
| 100 | Linear OA(1679, 109, F16, 49) (dual of [109, 30, 50]-code) | [i] | ✔ | |
| 101 | Linear OA(1682, 112, F16, 50) (dual of [112, 30, 51]-code) | [i] | ✔ | |
| 102 | Linear OA(1697, 121, F16, 63) (dual of [121, 24, 64]-code) | [i] | ||
| 103 | Linear OA(1685, 115, F16, 51) (dual of [115, 30, 52]-code) | [i] | ✔ | |
| 104 | Linear OA(1687, 117, F16, 52) (dual of [117, 30, 53]-code) | [i] | ✔ | |
| 105 | Linear OA(1689, 119, F16, 53) (dual of [119, 30, 54]-code) | [i] | ✔ | |
| 106 | Linear OA(1691, 121, F16, 54) (dual of [121, 30, 55]-code) | [i] | ✔ | |
| 107 | Linear OA(1693, 123, F16, 55) (dual of [123, 30, 56]-code) | [i] | ✔ | |
| 108 | Linear OA(1695, 125, F16, 56) (dual of [125, 30, 57]-code) | [i] | ✔ | |
| 109 | Linear OA(1688, 118, F16, 53) (dual of [118, 30, 54]-code) | [i] | ✔ | |
| 110 | Linear OA(1690, 120, F16, 54) (dual of [120, 30, 55]-code) | [i] | ✔ | |
| 111 | Linear OA(1696, 124, F16, 59) (dual of [124, 28, 60]-code) | [i] | ||
| 112 | Linear OA(1695, 124, F16, 58) (dual of [124, 29, 59]-code) | [i] | ||
| 113 | Linear OA(1692, 122, F16, 55) (dual of [122, 30, 56]-code) | [i] | ✔ | |
| 114 | Linear OA(1696, 126, F16, 58) (dual of [126, 30, 59]-code) | [i] | ✔ | |
| 115 | Linear OA(1698, 128, F16, 59) (dual of [128, 30, 60]-code) | [i] | ✔ | |
| 116 | Linear OOA(1634, 32, F16, 2, 28) (dual of [(32, 2), 30, 29]-NRT-code) | [i] | OOA Folding | |