Information on Result #644750
Linear OA(1640, 64, F16, 34) (dual of [64, 24, 35]-code), using algebraic-geometric code AG(F,29P) 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(16104, 128, F16, 69) (dual of [128, 24, 70]-code) | [i] | Repeating Each Code Word | |
| 2 | Linear OA(16103, 126, F16, 69) (dual of [126, 23, 70]-code) | [i] | ||
| 3 | Linear OA(16102, 124, F16, 69) (dual of [124, 22, 70]-code) | [i] | ||
| 4 | Linear OA(16101, 122, F16, 69) (dual of [122, 21, 70]-code) | [i] | ||
| 5 | Linear OA(16100, 120, F16, 69) (dual of [120, 20, 70]-code) | [i] | ||
| 6 | Linear OA(1699, 118, F16, 69) (dual of [118, 19, 70]-code) | [i] | ||
| 7 | Linear OA(1698, 116, F16, 69) (dual of [116, 18, 70]-code) | [i] | ||
| 8 | Linear OA(1697, 114, F16, 69) (dual of [114, 17, 70]-code) | [i] | ||
| 9 | Linear OA(1696, 112, F16, 69) (dual of [112, 16, 70]-code) | [i] | ||
| 10 | Linear OA(1695, 110, F16, 69) (dual of [110, 15, 70]-code) | [i] | ||
| 11 | Linear OA(1694, 108, F16, 69) (dual of [108, 14, 70]-code) | [i] | ||
| 12 | Linear OA(1693, 106, F16, 69) (dual of [106, 13, 70]-code) | [i] | ||
| 13 | Linear OA(1692, 104, F16, 69) (dual of [104, 12, 70]-code) | [i] | ||
| 14 | Linear OA(1691, 102, F16, 69) (dual of [102, 11, 70]-code) | [i] | ||
| 15 | Linear OA(2224, 320, F2, 69) (dual of [320, 96, 70]-code) | [i] | Concatenation of Two Codes | |
| 16 | Linear OA(2223, 315, F2, 69) (dual of [315, 92, 70]-code) | [i] | ||
| 17 | Linear OA(2222, 310, F2, 69) (dual of [310, 88, 70]-code) | [i] | ||
| 18 | Linear OA(2221, 305, F2, 69) (dual of [305, 84, 70]-code) | [i] | ||
| 19 | Linear OA(2220, 300, F2, 69) (dual of [300, 80, 70]-code) | [i] | ||
| 20 | Linear OA(2219, 295, F2, 69) (dual of [295, 76, 70]-code) | [i] | ||
| 21 | Linear OA(2218, 290, F2, 69) (dual of [290, 72, 70]-code) | [i] | ||
| 22 | Linear OA(2217, 285, F2, 69) (dual of [285, 68, 70]-code) | [i] | ||
| 23 | Linear OA(2216, 280, F2, 69) (dual of [280, 64, 70]-code) | [i] | ||
| 24 | Linear OA(2215, 275, F2, 69) (dual of [275, 60, 70]-code) | [i] | ||
| 25 | Linear OA(2214, 270, F2, 69) (dual of [270, 56, 70]-code) | [i] | ||
| 26 | Linear OA(2213, 265, F2, 69) (dual of [265, 52, 70]-code) | [i] | ||
| 27 | Linear OA(4144, 192, F4, 69) (dual of [192, 48, 70]-code) | [i] | ||
| 28 | Linear OA(4143, 189, F4, 69) (dual of [189, 46, 70]-code) | [i] | ||
| 29 | Linear OA(4142, 186, F4, 69) (dual of [186, 44, 70]-code) | [i] | ||
| 30 | Linear OA(4141, 183, F4, 69) (dual of [183, 42, 70]-code) | [i] | ||
| 31 | Linear OA(4140, 180, F4, 69) (dual of [180, 40, 70]-code) | [i] | ||
| 32 | Linear OA(4139, 177, F4, 69) (dual of [177, 38, 70]-code) | [i] | ||
| 33 | Linear OA(4138, 174, F4, 69) (dual of [174, 36, 70]-code) | [i] | ||
| 34 | Linear OA(4137, 171, F4, 69) (dual of [171, 34, 70]-code) | [i] | ||
| 35 | Linear OA(4136, 168, F4, 69) (dual of [168, 32, 70]-code) | [i] | ||
| 36 | Linear OA(4135, 165, F4, 69) (dual of [165, 30, 70]-code) | [i] | ||
| 37 | Linear OA(4134, 162, F4, 69) (dual of [162, 28, 70]-code) | [i] | ||
| 38 | Linear OA(4133, 159, F4, 69) (dual of [159, 26, 70]-code) | [i] | ||
| 39 | Linear OA(4132, 156, F4, 69) (dual of [156, 24, 70]-code) | [i] | ||
| 40 | Linear OA(4131, 153, F4, 69) (dual of [153, 22, 70]-code) | [i] | ||
| 41 | Linear OA(4202, 244, F4, 104) (dual of [244, 42, 105]-code) | [i] | ||
| 42 | Linear OA(4200, 240, F4, 104) (dual of [240, 40, 105]-code) | [i] | ||
| 43 | Linear OA(4198, 236, F4, 104) (dual of [236, 38, 105]-code) | [i] | ||
| 44 | Linear OA(4196, 232, F4, 104) (dual of [232, 36, 105]-code) | [i] | ||
| 45 | Linear OA(4194, 228, F4, 104) (dual of [228, 34, 105]-code) | [i] | ||
| 46 | Linear OA(4192, 224, F4, 104) (dual of [224, 32, 105]-code) | [i] | ||
| 47 | Linear OA(4190, 220, F4, 104) (dual of [220, 30, 105]-code) | [i] | ||
| 48 | Linear OA(4188, 216, F4, 104) (dual of [216, 28, 105]-code) | [i] | ||
| 49 | Linear OA(4186, 212, F4, 104) (dual of [212, 26, 105]-code) | [i] | ||
| 50 | Linear OA(4184, 208, F4, 104) (dual of [208, 24, 105]-code) | [i] | ||
| 51 | Linear OA(4182, 204, F4, 104) (dual of [204, 22, 105]-code) | [i] | ||
| 52 | Linear OA(4260, 300, F4, 139) (dual of [300, 40, 140]-code) | [i] | ||
| 53 | Linear OA(4257, 295, F4, 139) (dual of [295, 38, 140]-code) | [i] | ||
| 54 | Linear OA(4254, 290, F4, 139) (dual of [290, 36, 140]-code) | [i] | ||
| 55 | Linear OA(4251, 285, F4, 139) (dual of [285, 34, 140]-code) | [i] | ||
| 56 | Linear OA(4248, 280, F4, 139) (dual of [280, 32, 140]-code) | [i] | ||
| 57 | Linear OA(4245, 275, F4, 139) (dual of [275, 30, 140]-code) | [i] | ||
| 58 | Linear OA(4242, 270, F4, 139) (dual of [270, 28, 140]-code) | [i] | ||
| 59 | Linear OA(1643, 67, F16, 36) (dual of [67, 24, 37]-code) | [i] | ✔ | Construction X with Algebraic-Geometric Codes |
| 60 | Linear OA(1641, 67, F16, 34) (dual of [67, 26, 35]-code) | [i] | ✔ | |
| 61 | Linear OA(1645, 69, F16, 37) (dual of [69, 24, 38]-code) | [i] | ✔ | |
| 62 | Linear OA(1642, 69, F16, 34) (dual of [69, 27, 35]-code) | [i] | ✔ | |
| 63 | Linear OA(1647, 71, F16, 38) (dual of [71, 24, 39]-code) | [i] | ✔ | |
| 64 | Linear OA(1643, 71, F16, 34) (dual of [71, 28, 35]-code) | [i] | ✔ | |
| 65 | Linear OA(1649, 73, F16, 39) (dual of [73, 24, 40]-code) | [i] | ✔ | |
| 66 | Linear OA(1644, 73, F16, 34) (dual of [73, 29, 35]-code) | [i] | ✔ | |
| 67 | Linear OA(1651, 75, F16, 40) (dual of [75, 24, 41]-code) | [i] | ✔ | |
| 68 | Linear OA(1645, 75, F16, 34) (dual of [75, 30, 35]-code) | [i] | ✔ | |
| 69 | Linear OA(1653, 77, F16, 41) (dual of [77, 24, 42]-code) | [i] | ✔ | |
| 70 | Linear OA(1646, 77, F16, 34) (dual of [77, 31, 35]-code) | [i] | ✔ | |
| 71 | Linear OA(1655, 79, F16, 42) (dual of [79, 24, 43]-code) | [i] | ✔ | |
| 72 | Linear OA(1647, 79, F16, 34) (dual of [79, 32, 35]-code) | [i] | ✔ | |
| 73 | Linear OA(1657, 81, F16, 43) (dual of [81, 24, 44]-code) | [i] | ✔ | |
| 74 | Linear OA(1648, 81, F16, 34) (dual of [81, 33, 35]-code) | [i] | ✔ | |
| 75 | Linear OA(1660, 84, F16, 44) (dual of [84, 24, 45]-code) | [i] | ✔ | |
| 76 | Linear OA(1650, 84, F16, 34) (dual of [84, 34, 35]-code) | [i] | ✔ | |
| 77 | Linear OA(1662, 86, F16, 45) (dual of [86, 24, 46]-code) | [i] | ✔ | |
| 78 | Linear OA(1651, 86, F16, 34) (dual of [86, 35, 35]-code) | [i] | ✔ | |
| 79 | Linear OA(1664, 88, F16, 46) (dual of [88, 24, 47]-code) | [i] | ✔ | |
| 80 | Linear OA(1652, 88, F16, 34) (dual of [88, 36, 35]-code) | [i] | ✔ | |
| 81 | Linear OA(1667, 91, F16, 47) (dual of [91, 24, 48]-code) | [i] | ✔ | |
| 82 | Linear OA(1654, 91, F16, 34) (dual of [91, 37, 35]-code) | [i] | ✔ | |
| 83 | Linear OA(1669, 93, F16, 48) (dual of [93, 24, 49]-code) | [i] | ✔ | |
| 84 | Linear OA(1655, 93, F16, 34) (dual of [93, 38, 35]-code) | [i] | ✔ | |
| 85 | Linear OA(1671, 95, F16, 49) (dual of [95, 24, 50]-code) | [i] | ✔ | |
| 86 | Linear OA(1656, 95, F16, 34) (dual of [95, 39, 35]-code) | [i] | ✔ | |
| 87 | Linear OA(1673, 97, F16, 50) (dual of [97, 24, 51]-code) | [i] | ✔ | |
| 88 | Linear OA(1657, 97, F16, 34) (dual of [97, 40, 35]-code) | [i] | ✔ | |
| 89 | Linear OA(1676, 100, F16, 51) (dual of [100, 24, 52]-code) | [i] | ✔ | |
| 90 | Linear OA(1659, 100, F16, 34) (dual of [100, 41, 35]-code) | [i] | ✔ | |
| 91 | Linear OA(1678, 102, F16, 52) (dual of [102, 24, 53]-code) | [i] | ✔ | |
| 92 | Linear OA(1681, 105, F16, 53) (dual of [105, 24, 54]-code) | [i] | ✔ | |
| 93 | Linear OA(1683, 107, F16, 54) (dual of [107, 24, 55]-code) | [i] | ✔ | |
| 94 | Linear OA(1685, 109, F16, 55) (dual of [109, 24, 56]-code) | [i] | ✔ | |
| 95 | Linear OA(1688, 112, F16, 56) (dual of [112, 24, 57]-code) | [i] | ✔ | |
| 96 | Linear OA(1697, 121, F16, 63) (dual of [121, 24, 64]-code) | [i] | ✔ | |
| 97 | Linear OA(1680, 104, F16, 53) (dual of [104, 24, 54]-code) | [i] | ✔ | |
| 98 | Linear OA(1682, 106, F16, 54) (dual of [106, 24, 55]-code) | [i] | ✔ | |
| 99 | Linear OA(1684, 108, F16, 55) (dual of [108, 24, 56]-code) | [i] | ✔ | |
| 100 | Linear OA(1689, 113, F16, 58) (dual of [113, 24, 59]-code) | [i] | ✔ | |
| 101 | Linear OA(1692, 116, F16, 59) (dual of [116, 24, 60]-code) | [i] | ✔ | |
| 102 | Linear OOA(1640, 32, F16, 2, 34) (dual of [(32, 2), 24, 35]-NRT-code) | [i] | OOA Folding | |