Information on Result #644740
Linear OA(1645, 64, F16, 39) (dual of [64, 19, 40]-code), using algebraic-geometric code AG(F,24P) 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(16109, 128, F16, 79) (dual of [128, 19, 80]-code) | [i] | Repeating Each Code Word | |
| 2 | Linear OA(16108, 126, F16, 79) (dual of [126, 18, 80]-code) | [i] | ||
| 3 | Linear OA(16107, 124, F16, 79) (dual of [124, 17, 80]-code) | [i] | ||
| 4 | Linear OA(16106, 122, F16, 79) (dual of [122, 16, 80]-code) | [i] | ||
| 5 | Linear OA(16105, 120, F16, 79) (dual of [120, 15, 80]-code) | [i] | ||
| 6 | Linear OA(16104, 118, F16, 79) (dual of [118, 14, 80]-code) | [i] | ||
| 7 | Linear OA(16103, 116, F16, 79) (dual of [116, 13, 80]-code) | [i] | ||
| 8 | Linear OA(16102, 114, F16, 79) (dual of [114, 12, 80]-code) | [i] | ||
| 9 | Linear OA(16101, 112, F16, 79) (dual of [112, 11, 80]-code) | [i] | ||
| 10 | Linear OA(16100, 110, F16, 79) (dual of [110, 10, 80]-code) | [i] | ||
| 11 | Linear OA(1699, 108, F16, 79) (dual of [108, 9, 80]-code) | [i] | ||
| 12 | Linear OA(1698, 106, F16, 79) (dual of [106, 8, 80]-code) | [i] | ||
| 13 | Linear OA(1697, 104, F16, 79) (dual of [104, 7, 80]-code) | [i] | ||
| 14 | Linear OA(16130, 145, F16, 92) (dual of [145, 15, 93]-code) | [i] | Juxtaposition | |
| 15 | Linear OA(16129, 143, F16, 92) (dual of [143, 14, 93]-code) | [i] | ||
| 16 | Linear OA(16130, 142, F16, 97) (dual of [142, 12, 98]-code) | [i] | ||
| 17 | Linear OA(2244, 320, F2, 79) (dual of [320, 76, 80]-code) | [i] | Concatenation of Two Codes | |
| 18 | Linear OA(2243, 315, F2, 79) (dual of [315, 72, 80]-code) | [i] | ||
| 19 | Linear OA(2242, 310, F2, 79) (dual of [310, 68, 80]-code) | [i] | ||
| 20 | Linear OA(2241, 305, F2, 79) (dual of [305, 64, 80]-code) | [i] | ||
| 21 | Linear OA(2240, 300, F2, 79) (dual of [300, 60, 80]-code) | [i] | ||
| 22 | Linear OA(2239, 295, F2, 79) (dual of [295, 56, 80]-code) | [i] | ||
| 23 | Linear OA(2238, 290, F2, 79) (dual of [290, 52, 80]-code) | [i] | ||
| 24 | Linear OA(2237, 285, F2, 79) (dual of [285, 48, 80]-code) | [i] | ||
| 25 | Linear OA(4154, 192, F4, 79) (dual of [192, 38, 80]-code) | [i] | ||
| 26 | Linear OA(4153, 189, F4, 79) (dual of [189, 36, 80]-code) | [i] | ||
| 27 | Linear OA(4152, 186, F4, 79) (dual of [186, 34, 80]-code) | [i] | ||
| 28 | Linear OA(4151, 183, F4, 79) (dual of [183, 32, 80]-code) | [i] | ||
| 29 | Linear OA(4150, 180, F4, 79) (dual of [180, 30, 80]-code) | [i] | ||
| 30 | Linear OA(4149, 177, F4, 79) (dual of [177, 28, 80]-code) | [i] | ||
| 31 | Linear OA(4148, 174, F4, 79) (dual of [174, 26, 80]-code) | [i] | ||
| 32 | Linear OA(4147, 171, F4, 79) (dual of [171, 24, 80]-code) | [i] | ||
| 33 | Linear OA(4146, 168, F4, 79) (dual of [168, 22, 80]-code) | [i] | ||
| 34 | Linear OA(4145, 165, F4, 79) (dual of [165, 20, 80]-code) | [i] | ||
| 35 | Linear OA(4144, 162, F4, 79) (dual of [162, 18, 80]-code) | [i] | ||
| 36 | Linear OA(4143, 159, F4, 79) (dual of [159, 16, 80]-code) | [i] | ||
| 37 | Linear OA(4142, 156, F4, 79) (dual of [156, 14, 80]-code) | [i] | ||
| 38 | Linear OA(4218, 256, F4, 119) (dual of [256, 38, 120]-code) | [i] | ||
| 39 | Linear OA(4216, 252, F4, 119) (dual of [252, 36, 120]-code) | [i] | ||
| 40 | Linear OA(4214, 248, F4, 119) (dual of [248, 34, 120]-code) | [i] | ||
| 41 | Linear OA(4212, 244, F4, 119) (dual of [244, 32, 120]-code) | [i] | ||
| 42 | Linear OA(4210, 240, F4, 119) (dual of [240, 30, 120]-code) | [i] | ||
| 43 | Linear OA(4208, 236, F4, 119) (dual of [236, 28, 120]-code) | [i] | ||
| 44 | Linear OA(4206, 232, F4, 119) (dual of [232, 26, 120]-code) | [i] | ||
| 45 | Linear OA(4204, 228, F4, 119) (dual of [228, 24, 120]-code) | [i] | ||
| 46 | Linear OA(4202, 224, F4, 119) (dual of [224, 22, 120]-code) | [i] | ||
| 47 | Linear OA(4200, 220, F4, 119) (dual of [220, 20, 120]-code) | [i] | ||
| 48 | Linear OA(4198, 216, F4, 119) (dual of [216, 18, 120]-code) | [i] | ||
| 49 | Linear OA(4258, 280, F4, 159) (dual of [280, 22, 160]-code) | [i] | ||
| 50 | Linear OA(4255, 275, F4, 159) (dual of [275, 20, 160]-code) | [i] | ||
| 51 | Linear OA(4252, 270, F4, 159) (dual of [270, 18, 160]-code) | [i] | ||
| 52 | Linear OA(1648, 67, F16, 41) (dual of [67, 19, 42]-code) | [i] | ✔ | Construction X with Algebraic-Geometric Codes |
| 53 | Linear OA(1646, 67, F16, 39) (dual of [67, 21, 40]-code) | [i] | ✔ | |
| 54 | Linear OA(1650, 69, F16, 42) (dual of [69, 19, 43]-code) | [i] | ✔ | |
| 55 | Linear OA(1647, 69, F16, 39) (dual of [69, 22, 40]-code) | [i] | ✔ | |
| 56 | Linear OA(1652, 71, F16, 43) (dual of [71, 19, 44]-code) | [i] | ✔ | |
| 57 | Linear OA(1648, 71, F16, 39) (dual of [71, 23, 40]-code) | [i] | ✔ | |
| 58 | Linear OA(1654, 73, F16, 44) (dual of [73, 19, 45]-code) | [i] | ✔ | |
| 59 | Linear OA(1649, 73, F16, 39) (dual of [73, 24, 40]-code) | [i] | ✔ | |
| 60 | Linear OA(1656, 75, F16, 45) (dual of [75, 19, 46]-code) | [i] | ✔ | |
| 61 | Linear OA(1650, 75, F16, 39) (dual of [75, 25, 40]-code) | [i] | ✔ | |
| 62 | Linear OA(1658, 77, F16, 46) (dual of [77, 19, 47]-code) | [i] | ✔ | |
| 63 | Linear OA(1651, 77, F16, 39) (dual of [77, 26, 40]-code) | [i] | ✔ | |
| 64 | Linear OA(1660, 79, F16, 47) (dual of [79, 19, 48]-code) | [i] | ✔ | |
| 65 | Linear OA(1652, 79, F16, 39) (dual of [79, 27, 40]-code) | [i] | ✔ | |
| 66 | Linear OA(1662, 81, F16, 48) (dual of [81, 19, 49]-code) | [i] | ✔ | |
| 67 | Linear OA(1653, 81, F16, 39) (dual of [81, 28, 40]-code) | [i] | ✔ | |
| 68 | Linear OA(1665, 84, F16, 49) (dual of [84, 19, 50]-code) | [i] | ✔ | |
| 69 | Linear OA(1655, 84, F16, 39) (dual of [84, 29, 40]-code) | [i] | ✔ | |
| 70 | Linear OA(1667, 86, F16, 50) (dual of [86, 19, 51]-code) | [i] | ✔ | |
| 71 | Linear OA(1656, 86, F16, 39) (dual of [86, 30, 40]-code) | [i] | ✔ | |
| 72 | Linear OA(1669, 88, F16, 51) (dual of [88, 19, 52]-code) | [i] | ✔ | |
| 73 | Linear OA(1657, 88, F16, 39) (dual of [88, 31, 40]-code) | [i] | ✔ | |
| 74 | Linear OA(1672, 91, F16, 52) (dual of [91, 19, 53]-code) | [i] | ✔ | |
| 75 | Linear OA(1659, 91, F16, 39) (dual of [91, 32, 40]-code) | [i] | ✔ | |
| 76 | Linear OA(1674, 93, F16, 53) (dual of [93, 19, 54]-code) | [i] | ✔ | |
| 77 | Linear OA(1660, 93, F16, 39) (dual of [93, 33, 40]-code) | [i] | ✔ | |
| 78 | Linear OA(1676, 95, F16, 54) (dual of [95, 19, 55]-code) | [i] | ✔ | |
| 79 | Linear OA(1661, 95, F16, 39) (dual of [95, 34, 40]-code) | [i] | ✔ | |
| 80 | Linear OA(1678, 97, F16, 55) (dual of [97, 19, 56]-code) | [i] | ✔ | |
| 81 | Linear OA(1662, 97, F16, 39) (dual of [97, 35, 40]-code) | [i] | ✔ | |
| 82 | Linear OA(1681, 100, F16, 56) (dual of [100, 19, 57]-code) | [i] | ✔ | |
| 83 | Linear OA(1664, 100, F16, 39) (dual of [100, 36, 40]-code) | [i] | ✔ | |
| 84 | Linear OA(1690, 109, F16, 63) (dual of [109, 19, 64]-code) | [i] | ✔ | |
| 85 | Linear OA(1683, 102, F16, 57) (dual of [102, 19, 58]-code) | [i] | ✔ | |
| 86 | Linear OA(1665, 102, F16, 39) (dual of [102, 37, 40]-code) | [i] | ✔ | |
| 87 | Linear OA(1667, 105, F16, 39) (dual of [105, 38, 40]-code) | [i] | ✔ | |
| 88 | Linear OA(1668, 107, F16, 39) (dual of [107, 39, 40]-code) | [i] | ✔ | |
| 89 | Linear OA(1673, 92, F16, 53) (dual of [92, 19, 54]-code) | [i] | ✔ | |
| 90 | Linear OA(1675, 94, F16, 54) (dual of [94, 19, 55]-code) | [i] | ✔ | |
| 91 | Linear OA(1677, 96, F16, 55) (dual of [96, 19, 56]-code) | [i] | ✔ | |
| 92 | Linear OA(1682, 101, F16, 58) (dual of [101, 19, 59]-code) | [i] | ✔ | |
| 93 | Linear OA(1685, 104, F16, 59) (dual of [104, 19, 60]-code) | [i] | ✔ | |
| 94 | Linear OOA(1645, 32, F16, 2, 39) (dual of [(32, 2), 19, 40]-NRT-code) | [i] | OOA Folding | |