Information on Result #644738
Linear OA(1646, 64, F16, 40) (dual of [64, 18, 41]-code), using algebraic-geometric code AG(F,23P) 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(16110, 128, F16, 81) (dual of [128, 18, 82]-code) | [i] | Repeating Each Code Word | |
| 2 | Linear OA(16109, 126, F16, 81) (dual of [126, 17, 82]-code) | [i] | ||
| 3 | Linear OA(16108, 124, F16, 81) (dual of [124, 16, 82]-code) | [i] | ||
| 4 | Linear OA(16107, 122, F16, 81) (dual of [122, 15, 82]-code) | [i] | ||
| 5 | Linear OA(16106, 120, F16, 81) (dual of [120, 14, 82]-code) | [i] | ||
| 6 | Linear OA(16105, 118, F16, 81) (dual of [118, 13, 82]-code) | [i] | ||
| 7 | Linear OA(16104, 116, F16, 81) (dual of [116, 12, 82]-code) | [i] | ||
| 8 | Linear OA(16103, 114, F16, 81) (dual of [114, 11, 82]-code) | [i] | ||
| 9 | Linear OA(16102, 112, F16, 81) (dual of [112, 10, 82]-code) | [i] | ||
| 10 | Linear OA(16101, 110, F16, 81) (dual of [110, 9, 82]-code) | [i] | ||
| 11 | Linear OA(16100, 108, F16, 81) (dual of [108, 8, 82]-code) | [i] | ||
| 12 | Linear OA(1699, 106, F16, 81) (dual of [106, 7, 82]-code) | [i] | ||
| 13 | Linear OA(16130, 144, F16, 93) (dual of [144, 14, 94]-code) | [i] | Juxtaposition | |
| 14 | Linear OA(2248, 320, F2, 81) (dual of [320, 72, 82]-code) | [i] | Concatenation of Two Codes | |
| 15 | Linear OA(2247, 315, F2, 81) (dual of [315, 68, 82]-code) | [i] | ||
| 16 | Linear OA(2246, 310, F2, 81) (dual of [310, 64, 82]-code) | [i] | ||
| 17 | Linear OA(2245, 305, F2, 81) (dual of [305, 60, 82]-code) | [i] | ||
| 18 | Linear OA(2244, 300, F2, 81) (dual of [300, 56, 82]-code) | [i] | ||
| 19 | Linear OA(2243, 295, F2, 81) (dual of [295, 52, 82]-code) | [i] | ||
| 20 | Linear OA(2242, 290, F2, 81) (dual of [290, 48, 82]-code) | [i] | ||
| 21 | Linear OA(4156, 192, F4, 81) (dual of [192, 36, 82]-code) | [i] | ||
| 22 | Linear OA(4155, 189, F4, 81) (dual of [189, 34, 82]-code) | [i] | ||
| 23 | Linear OA(4154, 186, F4, 81) (dual of [186, 32, 82]-code) | [i] | ||
| 24 | Linear OA(4153, 183, F4, 81) (dual of [183, 30, 82]-code) | [i] | ||
| 25 | Linear OA(4152, 180, F4, 81) (dual of [180, 28, 82]-code) | [i] | ||
| 26 | Linear OA(4151, 177, F4, 81) (dual of [177, 26, 82]-code) | [i] | ||
| 27 | Linear OA(4150, 174, F4, 81) (dual of [174, 24, 82]-code) | [i] | ||
| 28 | Linear OA(4149, 171, F4, 81) (dual of [171, 22, 82]-code) | [i] | ||
| 29 | Linear OA(4148, 168, F4, 81) (dual of [168, 20, 82]-code) | [i] | ||
| 30 | Linear OA(4147, 165, F4, 81) (dual of [165, 18, 82]-code) | [i] | ||
| 31 | Linear OA(4146, 162, F4, 81) (dual of [162, 16, 82]-code) | [i] | ||
| 32 | Linear OA(4145, 159, F4, 81) (dual of [159, 14, 82]-code) | [i] | ||
| 33 | Linear OA(4220, 256, F4, 122) (dual of [256, 36, 123]-code) | [i] | ||
| 34 | Linear OA(4218, 252, F4, 122) (dual of [252, 34, 123]-code) | [i] | ||
| 35 | Linear OA(4216, 248, F4, 122) (dual of [248, 32, 123]-code) | [i] | ||
| 36 | Linear OA(4214, 244, F4, 122) (dual of [244, 30, 123]-code) | [i] | ||
| 37 | Linear OA(4212, 240, F4, 122) (dual of [240, 28, 123]-code) | [i] | ||
| 38 | Linear OA(4210, 236, F4, 122) (dual of [236, 26, 123]-code) | [i] | ||
| 39 | Linear OA(4208, 232, F4, 122) (dual of [232, 24, 123]-code) | [i] | ||
| 40 | Linear OA(4206, 228, F4, 122) (dual of [228, 22, 123]-code) | [i] | ||
| 41 | Linear OA(4204, 224, F4, 122) (dual of [224, 20, 123]-code) | [i] | ||
| 42 | Linear OA(4202, 220, F4, 122) (dual of [220, 18, 123]-code) | [i] | ||
| 43 | Linear OA(4260, 280, F4, 163) (dual of [280, 20, 164]-code) | [i] | ||
| 44 | Linear OA(4257, 275, F4, 163) (dual of [275, 18, 164]-code) | [i] | ||
| 45 | Linear OA(1649, 67, F16, 42) (dual of [67, 18, 43]-code) | [i] | ✔ | Construction X with Algebraic-Geometric Codes |
| 46 | Linear OA(1647, 67, F16, 40) (dual of [67, 20, 41]-code) | [i] | ✔ | |
| 47 | Linear OA(1651, 69, F16, 43) (dual of [69, 18, 44]-code) | [i] | ✔ | |
| 48 | Linear OA(1648, 69, F16, 40) (dual of [69, 21, 41]-code) | [i] | ✔ | |
| 49 | Linear OA(1653, 71, F16, 44) (dual of [71, 18, 45]-code) | [i] | ✔ | |
| 50 | Linear OA(1649, 71, F16, 40) (dual of [71, 22, 41]-code) | [i] | ✔ | |
| 51 | Linear OA(1655, 73, F16, 45) (dual of [73, 18, 46]-code) | [i] | ✔ | |
| 52 | Linear OA(1650, 73, F16, 40) (dual of [73, 23, 41]-code) | [i] | ✔ | |
| 53 | Linear OA(1657, 75, F16, 46) (dual of [75, 18, 47]-code) | [i] | ✔ | |
| 54 | Linear OA(1651, 75, F16, 40) (dual of [75, 24, 41]-code) | [i] | ✔ | |
| 55 | Linear OA(1659, 77, F16, 47) (dual of [77, 18, 48]-code) | [i] | ✔ | |
| 56 | Linear OA(1652, 77, F16, 40) (dual of [77, 25, 41]-code) | [i] | ✔ | |
| 57 | Linear OA(1661, 79, F16, 48) (dual of [79, 18, 49]-code) | [i] | ✔ | |
| 58 | Linear OA(1653, 79, F16, 40) (dual of [79, 26, 41]-code) | [i] | ✔ | |
| 59 | Linear OA(1663, 81, F16, 49) (dual of [81, 18, 50]-code) | [i] | ✔ | |
| 60 | Linear OA(1654, 81, F16, 40) (dual of [81, 27, 41]-code) | [i] | ✔ | |
| 61 | Linear OA(1666, 84, F16, 50) (dual of [84, 18, 51]-code) | [i] | ✔ | |
| 62 | Linear OA(1656, 84, F16, 40) (dual of [84, 28, 41]-code) | [i] | ✔ | |
| 63 | Linear OA(1668, 86, F16, 51) (dual of [86, 18, 52]-code) | [i] | ✔ | |
| 64 | Linear OA(1657, 86, F16, 40) (dual of [86, 29, 41]-code) | [i] | ✔ | |
| 65 | Linear OA(1670, 88, F16, 52) (dual of [88, 18, 53]-code) | [i] | ✔ | |
| 66 | Linear OA(1658, 88, F16, 40) (dual of [88, 30, 41]-code) | [i] | ✔ | |
| 67 | Linear OA(1673, 91, F16, 53) (dual of [91, 18, 54]-code) | [i] | ✔ | |
| 68 | Linear OA(1660, 91, F16, 40) (dual of [91, 31, 41]-code) | [i] | ✔ | |
| 69 | Linear OA(1675, 93, F16, 54) (dual of [93, 18, 55]-code) | [i] | ✔ | |
| 70 | Linear OA(1661, 93, F16, 40) (dual of [93, 32, 41]-code) | [i] | ✔ | |
| 71 | Linear OA(1677, 95, F16, 55) (dual of [95, 18, 56]-code) | [i] | ✔ | |
| 72 | Linear OA(1662, 95, F16, 40) (dual of [95, 33, 41]-code) | [i] | ✔ | |
| 73 | Linear OA(1679, 97, F16, 56) (dual of [97, 18, 57]-code) | [i] | ✔ | |
| 74 | Linear OA(1663, 97, F16, 40) (dual of [97, 34, 41]-code) | [i] | ✔ | |
| 75 | Linear OA(1689, 107, F16, 63) (dual of [107, 18, 64]-code) | [i] | ✔ | |
| 76 | Linear OA(1684, 102, F16, 59) (dual of [102, 18, 60]-code) | [i] | ✔ | |
| 77 | Linear OA(1665, 100, F16, 40) (dual of [100, 35, 41]-code) | [i] | ✔ | |
| 78 | Linear OA(1666, 102, F16, 40) (dual of [102, 36, 41]-code) | [i] | ✔ | |
| 79 | Linear OA(1668, 105, F16, 40) (dual of [105, 37, 41]-code) | [i] | ✔ | |
| 80 | Linear OA(1669, 107, F16, 40) (dual of [107, 38, 41]-code) | [i] | ✔ | |
| 81 | Linear OA(1670, 109, F16, 40) (dual of [109, 39, 41]-code) | [i] | ✔ | |
| 82 | Linear OA(1672, 90, F16, 53) (dual of [90, 18, 54]-code) | [i] | ✔ | |
| 83 | Linear OA(1674, 92, F16, 54) (dual of [92, 18, 55]-code) | [i] | ✔ | |
| 84 | Linear OA(1676, 94, F16, 55) (dual of [94, 18, 56]-code) | [i] | ✔ | |
| 85 | Linear OA(1681, 99, F16, 58) (dual of [99, 18, 59]-code) | [i] | ✔ | |
| 86 | Linear OA(1679, 97, F16, 57) (dual of [97, 18, 58]-code) | [i] | ✔ | |
| 87 | Linear OA(1683, 101, F16, 59) (dual of [101, 18, 60]-code) | [i] | ✔ | |
| 88 | Linear OA(1671, 89, F16, 53) (dual of [89, 18, 54]-code) | [i] | ✔ | Construction XX with a Chain of Algebraic-Geometric Codes |
| 89 | Linear OOA(1646, 32, F16, 2, 40) (dual of [(32, 2), 18, 41]-NRT-code) | [i] | OOA Folding | |