Information on Result #644742
Linear OA(1644, 64, F16, 38) (dual of [64, 20, 39]-code), using algebraic-geometric code AG(F,25P) 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(16108, 128, F16, 77) (dual of [128, 20, 78]-code) | [i] | Repeating Each Code Word | |
| 2 | Linear OA(16107, 126, F16, 77) (dual of [126, 19, 78]-code) | [i] | ||
| 3 | Linear OA(16106, 124, F16, 77) (dual of [124, 18, 78]-code) | [i] | ||
| 4 | Linear OA(16105, 122, F16, 77) (dual of [122, 17, 78]-code) | [i] | ||
| 5 | Linear OA(16104, 120, F16, 77) (dual of [120, 16, 78]-code) | [i] | ||
| 6 | Linear OA(16103, 118, F16, 77) (dual of [118, 15, 78]-code) | [i] | ||
| 7 | Linear OA(16102, 116, F16, 77) (dual of [116, 14, 78]-code) | [i] | ||
| 8 | Linear OA(16101, 114, F16, 77) (dual of [114, 13, 78]-code) | [i] | ||
| 9 | Linear OA(16100, 112, F16, 77) (dual of [112, 12, 78]-code) | [i] | ||
| 10 | Linear OA(1699, 110, F16, 77) (dual of [110, 11, 78]-code) | [i] | ||
| 11 | Linear OA(1698, 108, F16, 77) (dual of [108, 10, 78]-code) | [i] | ||
| 12 | Linear OA(1697, 106, F16, 77) (dual of [106, 9, 78]-code) | [i] | ||
| 13 | Linear OA(1696, 104, F16, 77) (dual of [104, 8, 78]-code) | [i] | ||
| 14 | Linear OA(1695, 102, F16, 77) (dual of [102, 7, 78]-code) | [i] | ||
| 15 | Linear OA(16130, 146, F16, 91) (dual of [146, 16, 92]-code) | [i] | Juxtaposition | |
| 16 | Linear OA(16129, 144, F16, 91) (dual of [144, 15, 92]-code) | [i] | ||
| 17 | Linear OA(16129, 141, F16, 96) (dual of [141, 12, 97]-code) | [i] | ||
| 18 | Linear OA(2240, 320, F2, 77) (dual of [320, 80, 78]-code) | [i] | Concatenation of Two Codes | |
| 19 | Linear OA(2239, 315, F2, 77) (dual of [315, 76, 78]-code) | [i] | ||
| 20 | Linear OA(2238, 310, F2, 77) (dual of [310, 72, 78]-code) | [i] | ||
| 21 | Linear OA(2237, 305, F2, 77) (dual of [305, 68, 78]-code) | [i] | ||
| 22 | Linear OA(2236, 300, F2, 77) (dual of [300, 64, 78]-code) | [i] | ||
| 23 | Linear OA(2235, 295, F2, 77) (dual of [295, 60, 78]-code) | [i] | ||
| 24 | Linear OA(2234, 290, F2, 77) (dual of [290, 56, 78]-code) | [i] | ||
| 25 | Linear OA(2233, 285, F2, 77) (dual of [285, 52, 78]-code) | [i] | ||
| 26 | Linear OA(2232, 280, F2, 77) (dual of [280, 48, 78]-code) | [i] | ||
| 27 | Linear OA(4152, 192, F4, 77) (dual of [192, 40, 78]-code) | [i] | ||
| 28 | Linear OA(4151, 189, F4, 77) (dual of [189, 38, 78]-code) | [i] | ||
| 29 | Linear OA(4150, 186, F4, 77) (dual of [186, 36, 78]-code) | [i] | ||
| 30 | Linear OA(4149, 183, F4, 77) (dual of [183, 34, 78]-code) | [i] | ||
| 31 | Linear OA(4148, 180, F4, 77) (dual of [180, 32, 78]-code) | [i] | ||
| 32 | Linear OA(4147, 177, F4, 77) (dual of [177, 30, 78]-code) | [i] | ||
| 33 | Linear OA(4146, 174, F4, 77) (dual of [174, 28, 78]-code) | [i] | ||
| 34 | Linear OA(4145, 171, F4, 77) (dual of [171, 26, 78]-code) | [i] | ||
| 35 | Linear OA(4144, 168, F4, 77) (dual of [168, 24, 78]-code) | [i] | ||
| 36 | Linear OA(4143, 165, F4, 77) (dual of [165, 22, 78]-code) | [i] | ||
| 37 | Linear OA(4142, 162, F4, 77) (dual of [162, 20, 78]-code) | [i] | ||
| 38 | Linear OA(4141, 159, F4, 77) (dual of [159, 18, 78]-code) | [i] | ||
| 39 | Linear OA(4140, 156, F4, 77) (dual of [156, 16, 78]-code) | [i] | ||
| 40 | Linear OA(4139, 153, F4, 77) (dual of [153, 14, 78]-code) | [i] | ||
| 41 | Linear OA(4216, 256, F4, 116) (dual of [256, 40, 117]-code) | [i] | ||
| 42 | Linear OA(4214, 252, F4, 116) (dual of [252, 38, 117]-code) | [i] | ||
| 43 | Linear OA(4212, 248, F4, 116) (dual of [248, 36, 117]-code) | [i] | ||
| 44 | Linear OA(4210, 244, F4, 116) (dual of [244, 34, 117]-code) | [i] | ||
| 45 | Linear OA(4208, 240, F4, 116) (dual of [240, 32, 117]-code) | [i] | ||
| 46 | Linear OA(4206, 236, F4, 116) (dual of [236, 30, 117]-code) | [i] | ||
| 47 | Linear OA(4204, 232, F4, 116) (dual of [232, 28, 117]-code) | [i] | ||
| 48 | Linear OA(4202, 228, F4, 116) (dual of [228, 26, 117]-code) | [i] | ||
| 49 | Linear OA(4200, 224, F4, 116) (dual of [224, 24, 117]-code) | [i] | ||
| 50 | Linear OA(4198, 220, F4, 116) (dual of [220, 22, 117]-code) | [i] | ||
| 51 | Linear OA(4196, 216, F4, 116) (dual of [216, 20, 117]-code) | [i] | ||
| 52 | Linear OA(4194, 212, F4, 116) (dual of [212, 18, 117]-code) | [i] | ||
| 53 | Linear OA(4259, 285, F4, 155) (dual of [285, 26, 156]-code) | [i] | ||
| 54 | Linear OA(4256, 280, F4, 155) (dual of [280, 24, 156]-code) | [i] | ||
| 55 | Linear OA(4253, 275, F4, 155) (dual of [275, 22, 156]-code) | [i] | ||
| 56 | Linear OA(4250, 270, F4, 155) (dual of [270, 20, 156]-code) | [i] | ||
| 57 | Linear OA(4247, 265, F4, 155) (dual of [265, 18, 156]-code) | [i] | ||
| 58 | Linear OA(1647, 67, F16, 40) (dual of [67, 20, 41]-code) | [i] | ✔ | Construction X with Algebraic-Geometric Codes |
| 59 | Linear OA(1645, 67, F16, 38) (dual of [67, 22, 39]-code) | [i] | ✔ | |
| 60 | Linear OA(1649, 69, F16, 41) (dual of [69, 20, 42]-code) | [i] | ✔ | |
| 61 | Linear OA(1646, 69, F16, 38) (dual of [69, 23, 39]-code) | [i] | ✔ | |
| 62 | Linear OA(1651, 71, F16, 42) (dual of [71, 20, 43]-code) | [i] | ✔ | |
| 63 | Linear OA(1647, 71, F16, 38) (dual of [71, 24, 39]-code) | [i] | ✔ | |
| 64 | Linear OA(1653, 73, F16, 43) (dual of [73, 20, 44]-code) | [i] | ✔ | |
| 65 | Linear OA(1648, 73, F16, 38) (dual of [73, 25, 39]-code) | [i] | ✔ | |
| 66 | Linear OA(1655, 75, F16, 44) (dual of [75, 20, 45]-code) | [i] | ✔ | |
| 67 | Linear OA(1649, 75, F16, 38) (dual of [75, 26, 39]-code) | [i] | ✔ | |
| 68 | Linear OA(1657, 77, F16, 45) (dual of [77, 20, 46]-code) | [i] | ✔ | |
| 69 | Linear OA(1650, 77, F16, 38) (dual of [77, 27, 39]-code) | [i] | ✔ | |
| 70 | Linear OA(1659, 79, F16, 46) (dual of [79, 20, 47]-code) | [i] | ✔ | |
| 71 | Linear OA(1651, 79, F16, 38) (dual of [79, 28, 39]-code) | [i] | ✔ | |
| 72 | Linear OA(1661, 81, F16, 47) (dual of [81, 20, 48]-code) | [i] | ✔ | |
| 73 | Linear OA(1652, 81, F16, 38) (dual of [81, 29, 39]-code) | [i] | ✔ | |
| 74 | Linear OA(1664, 84, F16, 48) (dual of [84, 20, 49]-code) | [i] | ✔ | |
| 75 | Linear OA(1654, 84, F16, 38) (dual of [84, 30, 39]-code) | [i] | ✔ | |
| 76 | Linear OA(1666, 86, F16, 49) (dual of [86, 20, 50]-code) | [i] | ✔ | |
| 77 | Linear OA(1655, 86, F16, 38) (dual of [86, 31, 39]-code) | [i] | ✔ | |
| 78 | Linear OA(1668, 88, F16, 50) (dual of [88, 20, 51]-code) | [i] | ✔ | |
| 79 | Linear OA(1656, 88, F16, 38) (dual of [88, 32, 39]-code) | [i] | ✔ | |
| 80 | Linear OA(1671, 91, F16, 51) (dual of [91, 20, 52]-code) | [i] | ✔ | |
| 81 | Linear OA(1658, 91, F16, 38) (dual of [91, 33, 39]-code) | [i] | ✔ | |
| 82 | Linear OA(1673, 93, F16, 52) (dual of [93, 20, 53]-code) | [i] | ✔ | |
| 83 | Linear OA(1659, 93, F16, 38) (dual of [93, 34, 39]-code) | [i] | ✔ | |
| 84 | Linear OA(1675, 95, F16, 53) (dual of [95, 20, 54]-code) | [i] | ✔ | |
| 85 | Linear OA(1660, 95, F16, 38) (dual of [95, 35, 39]-code) | [i] | ✔ | |
| 86 | Linear OA(1677, 97, F16, 54) (dual of [97, 20, 55]-code) | [i] | ✔ | |
| 87 | Linear OA(1661, 97, F16, 38) (dual of [97, 36, 39]-code) | [i] | ✔ | |
| 88 | Linear OA(1680, 100, F16, 55) (dual of [100, 20, 56]-code) | [i] | ✔ | |
| 89 | Linear OA(1663, 100, F16, 38) (dual of [100, 37, 39]-code) | [i] | ✔ | |
| 90 | Linear OA(1682, 102, F16, 56) (dual of [102, 20, 57]-code) | [i] | ✔ | |
| 91 | Linear OA(1664, 102, F16, 38) (dual of [102, 38, 39]-code) | [i] | ✔ | |
| 92 | Linear OA(1692, 112, F16, 63) (dual of [112, 20, 64]-code) | [i] | ✔ | |
| 93 | Linear OA(1689, 109, F16, 61) (dual of [109, 20, 62]-code) | [i] | ✔ | |
| 94 | Linear OA(1666, 105, F16, 38) (dual of [105, 39, 39]-code) | [i] | ✔ | |
| 95 | Linear OA(1674, 94, F16, 53) (dual of [94, 20, 54]-code) | [i] | ✔ | |
| 96 | Linear OA(1676, 96, F16, 54) (dual of [96, 20, 55]-code) | [i] | ✔ | |
| 97 | Linear OA(1679, 99, F16, 55) (dual of [99, 20, 56]-code) | [i] | ✔ | |
| 98 | Linear OA(1684, 104, F16, 58) (dual of [104, 20, 59]-code) | [i] | ✔ | |
| 99 | Linear OA(1682, 102, F16, 57) (dual of [102, 20, 58]-code) | [i] | ✔ | |
| 100 | Linear OA(1686, 106, F16, 59) (dual of [106, 20, 60]-code) | [i] | ✔ | |
| 101 | Linear OOA(1644, 32, F16, 2, 38) (dual of [(32, 2), 20, 39]-NRT-code) | [i] | OOA Folding | |