Information on Result #644748
Linear OA(1641, 64, F16, 35) (dual of [64, 23, 36]-code), using algebraic-geometric code AG(F,28P) 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(16105, 128, F16, 71) (dual of [128, 23, 72]-code) | [i] | Repeating Each Code Word | |
| 2 | Linear OA(16104, 126, F16, 71) (dual of [126, 22, 72]-code) | [i] | ||
| 3 | Linear OA(16103, 124, F16, 71) (dual of [124, 21, 72]-code) | [i] | ||
| 4 | Linear OA(16102, 122, F16, 71) (dual of [122, 20, 72]-code) | [i] | ||
| 5 | Linear OA(16101, 120, F16, 71) (dual of [120, 19, 72]-code) | [i] | ||
| 6 | Linear OA(16100, 118, F16, 71) (dual of [118, 18, 72]-code) | [i] | ||
| 7 | Linear OA(1699, 116, F16, 71) (dual of [116, 17, 72]-code) | [i] | ||
| 8 | Linear OA(1698, 114, F16, 71) (dual of [114, 16, 72]-code) | [i] | ||
| 9 | Linear OA(1697, 112, F16, 71) (dual of [112, 15, 72]-code) | [i] | ||
| 10 | Linear OA(1696, 110, F16, 71) (dual of [110, 14, 72]-code) | [i] | ||
| 11 | Linear OA(1695, 108, F16, 71) (dual of [108, 13, 72]-code) | [i] | ||
| 12 | Linear OA(1694, 106, F16, 71) (dual of [106, 12, 72]-code) | [i] | ||
| 13 | Linear OA(1693, 104, F16, 71) (dual of [104, 11, 72]-code) | [i] | ||
| 14 | Linear OA(1692, 102, F16, 71) (dual of [102, 10, 72]-code) | [i] | ||
| 15 | Linear OA(16127, 143, F16, 88) (dual of [143, 16, 89]-code) | [i] | Juxtaposition | |
| 16 | Linear OA(2228, 320, F2, 71) (dual of [320, 92, 72]-code) | [i] | Concatenation of Two Codes | |
| 17 | Linear OA(2227, 315, F2, 71) (dual of [315, 88, 72]-code) | [i] | ||
| 18 | Linear OA(2226, 310, F2, 71) (dual of [310, 84, 72]-code) | [i] | ||
| 19 | Linear OA(2225, 305, F2, 71) (dual of [305, 80, 72]-code) | [i] | ||
| 20 | Linear OA(2224, 300, F2, 71) (dual of [300, 76, 72]-code) | [i] | ||
| 21 | Linear OA(2223, 295, F2, 71) (dual of [295, 72, 72]-code) | [i] | ||
| 22 | Linear OA(2222, 290, F2, 71) (dual of [290, 68, 72]-code) | [i] | ||
| 23 | Linear OA(2221, 285, F2, 71) (dual of [285, 64, 72]-code) | [i] | ||
| 24 | Linear OA(2220, 280, F2, 71) (dual of [280, 60, 72]-code) | [i] | ||
| 25 | Linear OA(2219, 275, F2, 71) (dual of [275, 56, 72]-code) | [i] | ||
| 26 | Linear OA(2218, 270, F2, 71) (dual of [270, 52, 72]-code) | [i] | ||
| 27 | Linear OA(4146, 192, F4, 71) (dual of [192, 46, 72]-code) | [i] | ||
| 28 | Linear OA(4145, 189, F4, 71) (dual of [189, 44, 72]-code) | [i] | ||
| 29 | Linear OA(4144, 186, F4, 71) (dual of [186, 42, 72]-code) | [i] | ||
| 30 | Linear OA(4143, 183, F4, 71) (dual of [183, 40, 72]-code) | [i] | ||
| 31 | Linear OA(4142, 180, F4, 71) (dual of [180, 38, 72]-code) | [i] | ||
| 32 | Linear OA(4141, 177, F4, 71) (dual of [177, 36, 72]-code) | [i] | ||
| 33 | Linear OA(4140, 174, F4, 71) (dual of [174, 34, 72]-code) | [i] | ||
| 34 | Linear OA(4139, 171, F4, 71) (dual of [171, 32, 72]-code) | [i] | ||
| 35 | Linear OA(4138, 168, F4, 71) (dual of [168, 30, 72]-code) | [i] | ||
| 36 | Linear OA(4137, 165, F4, 71) (dual of [165, 28, 72]-code) | [i] | ||
| 37 | Linear OA(4136, 162, F4, 71) (dual of [162, 26, 72]-code) | [i] | ||
| 38 | Linear OA(4135, 159, F4, 71) (dual of [159, 24, 72]-code) | [i] | ||
| 39 | Linear OA(4134, 156, F4, 71) (dual of [156, 22, 72]-code) | [i] | ||
| 40 | Linear OA(4133, 153, F4, 71) (dual of [153, 20, 72]-code) | [i] | ||
| 41 | Linear OA(4208, 252, F4, 107) (dual of [252, 44, 108]-code) | [i] | ||
| 42 | Linear OA(4206, 248, F4, 107) (dual of [248, 42, 108]-code) | [i] | ||
| 43 | Linear OA(4204, 244, F4, 107) (dual of [244, 40, 108]-code) | [i] | ||
| 44 | Linear OA(4202, 240, F4, 107) (dual of [240, 38, 108]-code) | [i] | ||
| 45 | Linear OA(4200, 236, F4, 107) (dual of [236, 36, 108]-code) | [i] | ||
| 46 | Linear OA(4198, 232, F4, 107) (dual of [232, 34, 108]-code) | [i] | ||
| 47 | Linear OA(4196, 228, F4, 107) (dual of [228, 32, 108]-code) | [i] | ||
| 48 | Linear OA(4194, 224, F4, 107) (dual of [224, 30, 108]-code) | [i] | ||
| 49 | Linear OA(4192, 220, F4, 107) (dual of [220, 28, 108]-code) | [i] | ||
| 50 | Linear OA(4190, 216, F4, 107) (dual of [216, 26, 108]-code) | [i] | ||
| 51 | Linear OA(4188, 212, F4, 107) (dual of [212, 24, 108]-code) | [i] | ||
| 52 | Linear OA(4186, 208, F4, 107) (dual of [208, 22, 108]-code) | [i] | ||
| 53 | Linear OA(4184, 204, F4, 107) (dual of [204, 20, 108]-code) | [i] | ||
| 54 | Linear OA(4259, 295, F4, 143) (dual of [295, 36, 144]-code) | [i] | ||
| 55 | Linear OA(4256, 290, F4, 143) (dual of [290, 34, 144]-code) | [i] | ||
| 56 | Linear OA(4253, 285, F4, 143) (dual of [285, 32, 144]-code) | [i] | ||
| 57 | Linear OA(4250, 280, F4, 143) (dual of [280, 30, 144]-code) | [i] | ||
| 58 | Linear OA(4247, 275, F4, 143) (dual of [275, 28, 144]-code) | [i] | ||
| 59 | Linear OA(4244, 270, F4, 143) (dual of [270, 26, 144]-code) | [i] | ||
| 60 | Linear OA(1644, 67, F16, 37) (dual of [67, 23, 38]-code) | [i] | ✔ | Construction X with Algebraic-Geometric Codes |
| 61 | Linear OA(1642, 67, F16, 35) (dual of [67, 25, 36]-code) | [i] | ✔ | |
| 62 | Linear OA(1646, 69, F16, 38) (dual of [69, 23, 39]-code) | [i] | ✔ | |
| 63 | Linear OA(1643, 69, F16, 35) (dual of [69, 26, 36]-code) | [i] | ✔ | |
| 64 | Linear OA(1648, 71, F16, 39) (dual of [71, 23, 40]-code) | [i] | ✔ | |
| 65 | Linear OA(1644, 71, F16, 35) (dual of [71, 27, 36]-code) | [i] | ✔ | |
| 66 | Linear OA(1650, 73, F16, 40) (dual of [73, 23, 41]-code) | [i] | ✔ | |
| 67 | Linear OA(1645, 73, F16, 35) (dual of [73, 28, 36]-code) | [i] | ✔ | |
| 68 | Linear OA(1652, 75, F16, 41) (dual of [75, 23, 42]-code) | [i] | ✔ | |
| 69 | Linear OA(1646, 75, F16, 35) (dual of [75, 29, 36]-code) | [i] | ✔ | |
| 70 | Linear OA(1654, 77, F16, 42) (dual of [77, 23, 43]-code) | [i] | ✔ | |
| 71 | Linear OA(1647, 77, F16, 35) (dual of [77, 30, 36]-code) | [i] | ✔ | |
| 72 | Linear OA(1656, 79, F16, 43) (dual of [79, 23, 44]-code) | [i] | ✔ | |
| 73 | Linear OA(1648, 79, F16, 35) (dual of [79, 31, 36]-code) | [i] | ✔ | |
| 74 | Linear OA(1658, 81, F16, 44) (dual of [81, 23, 45]-code) | [i] | ✔ | |
| 75 | Linear OA(1649, 81, F16, 35) (dual of [81, 32, 36]-code) | [i] | ✔ | |
| 76 | Linear OA(1661, 84, F16, 45) (dual of [84, 23, 46]-code) | [i] | ✔ | |
| 77 | Linear OA(1651, 84, F16, 35) (dual of [84, 33, 36]-code) | [i] | ✔ | |
| 78 | Linear OA(1663, 86, F16, 46) (dual of [86, 23, 47]-code) | [i] | ✔ | |
| 79 | Linear OA(1652, 86, F16, 35) (dual of [86, 34, 36]-code) | [i] | ✔ | |
| 80 | Linear OA(1665, 88, F16, 47) (dual of [88, 23, 48]-code) | [i] | ✔ | |
| 81 | Linear OA(1653, 88, F16, 35) (dual of [88, 35, 36]-code) | [i] | ✔ | |
| 82 | Linear OA(1668, 91, F16, 48) (dual of [91, 23, 49]-code) | [i] | ✔ | |
| 83 | Linear OA(1655, 91, F16, 35) (dual of [91, 36, 36]-code) | [i] | ✔ | |
| 84 | Linear OA(1670, 93, F16, 49) (dual of [93, 23, 50]-code) | [i] | ✔ | |
| 85 | Linear OA(1656, 93, F16, 35) (dual of [93, 37, 36]-code) | [i] | ✔ | |
| 86 | Linear OA(1672, 95, F16, 50) (dual of [95, 23, 51]-code) | [i] | ✔ | |
| 87 | Linear OA(1657, 95, F16, 35) (dual of [95, 38, 36]-code) | [i] | ✔ | |
| 88 | Linear OA(1674, 97, F16, 51) (dual of [97, 23, 52]-code) | [i] | ✔ | |
| 89 | Linear OA(1658, 97, F16, 35) (dual of [97, 39, 36]-code) | [i] | ✔ | |
| 90 | Linear OA(1677, 100, F16, 52) (dual of [100, 23, 53]-code) | [i] | ✔ | |
| 91 | Linear OA(1660, 100, F16, 35) (dual of [100, 40, 36]-code) | [i] | ✔ | |
| 92 | Linear OA(1679, 102, F16, 53) (dual of [102, 23, 54]-code) | [i] | ✔ | |
| 93 | Linear OA(1682, 105, F16, 54) (dual of [105, 23, 55]-code) | [i] | ✔ | |
| 94 | Linear OA(1684, 107, F16, 55) (dual of [107, 23, 56]-code) | [i] | ✔ | |
| 95 | Linear OA(1686, 109, F16, 56) (dual of [109, 23, 57]-code) | [i] | ✔ | |
| 96 | Linear OA(1696, 119, F16, 63) (dual of [119, 23, 64]-code) | [i] | ✔ | |
| 97 | Linear OA(1690, 113, F16, 58) (dual of [113, 23, 59]-code) | [i] | ✔ | |
| 98 | Linear OA(1678, 101, F16, 53) (dual of [101, 23, 54]-code) | [i] | ✔ | |
| 99 | Linear OA(1681, 104, F16, 54) (dual of [104, 23, 55]-code) | [i] | ✔ | |
| 100 | Linear OA(1683, 106, F16, 55) (dual of [106, 23, 56]-code) | [i] | ✔ | |
| 101 | Linear OA(1688, 111, F16, 58) (dual of [111, 23, 59]-code) | [i] | ✔ | |
| 102 | Linear OA(1686, 109, F16, 57) (dual of [109, 23, 58]-code) | [i] | ✔ | |
| 103 | Linear OA(1690, 113, F16, 59) (dual of [113, 23, 60]-code) | [i] | ✔ | |
| 104 | Linear OOA(1641, 32, F16, 2, 35) (dual of [(32, 2), 23, 36]-NRT-code) | [i] | OOA Folding | |