Information on Result #644770
Linear OA(1630, 64, F16, 24) (dual of [64, 34, 25]-code), using algebraic-geometric code AG(F,39P) 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(1684, 108, F16, 49) (dual of [108, 24, 50]-code) | [i] | Repeating Each Code Word | |
| 2 | Linear OA(1683, 106, F16, 49) (dual of [106, 23, 50]-code) | [i] | ||
| 3 | Linear OA(1682, 104, F16, 49) (dual of [104, 22, 50]-code) | [i] | ||
| 4 | Linear OA(1681, 102, F16, 49) (dual of [102, 21, 50]-code) | [i] | ||
| 5 | Linear OA(1684, 120, F16, 49) (dual of [120, 36, 50]-code) | [i] | (u, u+v)-Construction | |
| 6 | Linear OA(2184, 320, F2, 49) (dual of [320, 136, 50]-code) | [i] | Concatenation of Two Codes | |
| 7 | Linear OA(2183, 315, F2, 49) (dual of [315, 132, 50]-code) | [i] | ||
| 8 | Linear OA(2182, 310, F2, 49) (dual of [310, 128, 50]-code) | [i] | ||
| 9 | Linear OA(2181, 305, F2, 49) (dual of [305, 124, 50]-code) | [i] | ||
| 10 | Linear OA(2180, 300, F2, 49) (dual of [300, 120, 50]-code) | [i] | ||
| 11 | Linear OA(2179, 295, F2, 49) (dual of [295, 116, 50]-code) | [i] | ||
| 12 | Linear OA(2178, 290, F2, 49) (dual of [290, 112, 50]-code) | [i] | ||
| 13 | Linear OA(2177, 285, F2, 49) (dual of [285, 108, 50]-code) | [i] | ||
| 14 | Linear OA(2176, 280, F2, 49) (dual of [280, 104, 50]-code) | [i] | ||
| 15 | Linear OA(2175, 275, F2, 49) (dual of [275, 100, 50]-code) | [i] | ||
| 16 | Linear OA(2174, 270, F2, 49) (dual of [270, 96, 50]-code) | [i] | ||
| 17 | Linear OA(2173, 265, F2, 49) (dual of [265, 92, 50]-code) | [i] | ||
| 18 | Linear OA(4124, 192, F4, 49) (dual of [192, 68, 50]-code) | [i] | ||
| 19 | Linear OA(4123, 189, F4, 49) (dual of [189, 66, 50]-code) | [i] | ||
| 20 | Linear OA(4122, 186, F4, 49) (dual of [186, 64, 50]-code) | [i] | ||
| 21 | Linear OA(4121, 183, F4, 49) (dual of [183, 62, 50]-code) | [i] | ||
| 22 | Linear OA(4120, 180, F4, 49) (dual of [180, 60, 50]-code) | [i] | ||
| 23 | Linear OA(4119, 177, F4, 49) (dual of [177, 58, 50]-code) | [i] | ||
| 24 | Linear OA(4118, 174, F4, 49) (dual of [174, 56, 50]-code) | [i] | ||
| 25 | Linear OA(4117, 171, F4, 49) (dual of [171, 54, 50]-code) | [i] | ||
| 26 | Linear OA(4116, 168, F4, 49) (dual of [168, 52, 50]-code) | [i] | ||
| 27 | Linear OA(4115, 165, F4, 49) (dual of [165, 50, 50]-code) | [i] | ||
| 28 | Linear OA(4114, 162, F4, 49) (dual of [162, 48, 50]-code) | [i] | ||
| 29 | Linear OA(4113, 159, F4, 49) (dual of [159, 46, 50]-code) | [i] | ||
| 30 | Linear OA(4112, 156, F4, 49) (dual of [156, 44, 50]-code) | [i] | ||
| 31 | Linear OA(4111, 153, F4, 49) (dual of [153, 42, 50]-code) | [i] | ||
| 32 | Linear OA(4243, 305, F4, 99) (dual of [305, 62, 100]-code) | [i] | ||
| 33 | Linear OA(4240, 300, F4, 99) (dual of [300, 60, 100]-code) | [i] | ||
| 34 | Linear OA(4237, 295, F4, 99) (dual of [295, 58, 100]-code) | [i] | ||
| 35 | Linear OOA(2248, 192, F2, 2, 74) (dual of [(192, 2), 136, 75]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 36 | Linear OOA(2246, 189, F2, 2, 74) (dual of [(189, 2), 132, 75]-NRT-code) | [i] | ||
| 37 | Linear OOA(2244, 186, F2, 2, 74) (dual of [(186, 2), 128, 75]-NRT-code) | [i] | ||
| 38 | Linear OOA(2242, 183, F2, 2, 74) (dual of [(183, 2), 124, 75]-NRT-code) | [i] | ||
| 39 | Linear OOA(2240, 180, F2, 2, 74) (dual of [(180, 2), 120, 75]-NRT-code) | [i] | ||
| 40 | Linear OOA(2238, 177, F2, 2, 74) (dual of [(177, 2), 116, 75]-NRT-code) | [i] | ||
| 41 | Linear OOA(2236, 174, F2, 2, 74) (dual of [(174, 2), 112, 75]-NRT-code) | [i] | ||
| 42 | Linear OOA(2234, 171, F2, 2, 74) (dual of [(171, 2), 108, 75]-NRT-code) | [i] | ||
| 43 | Linear OOA(2232, 168, F2, 2, 74) (dual of [(168, 2), 104, 75]-NRT-code) | [i] | ||
| 44 | Linear OOA(2230, 165, F2, 2, 74) (dual of [(165, 2), 100, 75]-NRT-code) | [i] | ||
| 45 | Linear OOA(2228, 162, F2, 2, 74) (dual of [(162, 2), 96, 75]-NRT-code) | [i] | ||
| 46 | Linear OOA(2226, 159, F2, 2, 74) (dual of [(159, 2), 92, 75]-NRT-code) | [i] | ||
| 47 | Linear OOA(2224, 156, F2, 2, 74) (dual of [(156, 2), 88, 75]-NRT-code) | [i] | ||
| 48 | Linear OOA(2222, 153, F2, 2, 74) (dual of [(153, 2), 84, 75]-NRT-code) | [i] | ||
| 49 | Linear OOA(2244, 124, F2, 3, 74) (dual of [(124, 3), 128, 75]-NRT-code) | [i] | ||
| 50 | Linear OOA(2242, 122, F2, 3, 74) (dual of [(122, 3), 124, 75]-NRT-code) | [i] | ||
| 51 | Linear OA(1633, 67, F16, 26) (dual of [67, 34, 27]-code) | [i] | ✔ | Construction X with Algebraic-Geometric Codes |
| 52 | Linear OA(1631, 67, F16, 24) (dual of [67, 36, 25]-code) | [i] | ✔ | |
| 53 | Linear OA(1635, 69, F16, 27) (dual of [69, 34, 28]-code) | [i] | ✔ | |
| 54 | Linear OA(1632, 69, F16, 24) (dual of [69, 37, 25]-code) | [i] | ✔ | |
| 55 | Linear OA(1637, 71, F16, 28) (dual of [71, 34, 29]-code) | [i] | ✔ | |
| 56 | Linear OA(1633, 71, F16, 24) (dual of [71, 38, 25]-code) | [i] | ✔ | |
| 57 | Linear OA(1639, 73, F16, 29) (dual of [73, 34, 30]-code) | [i] | ✔ | |
| 58 | Linear OA(1634, 73, F16, 24) (dual of [73, 39, 25]-code) | [i] | ✔ | |
| 59 | Linear OA(1641, 75, F16, 30) (dual of [75, 34, 31]-code) | [i] | ✔ | |
| 60 | Linear OA(1635, 75, F16, 24) (dual of [75, 40, 25]-code) | [i] | ✔ | |
| 61 | Linear OA(1643, 77, F16, 31) (dual of [77, 34, 32]-code) | [i] | ✔ | |
| 62 | Linear OA(1636, 77, F16, 24) (dual of [77, 41, 25]-code) | [i] | ✔ | |
| 63 | Linear OA(1645, 79, F16, 32) (dual of [79, 34, 33]-code) | [i] | ✔ | |
| 64 | Linear OA(1637, 79, F16, 24) (dual of [79, 42, 25]-code) | [i] | ✔ | |
| 65 | Linear OA(1647, 81, F16, 33) (dual of [81, 34, 34]-code) | [i] | ✔ | |
| 66 | Linear OA(1638, 81, F16, 24) (dual of [81, 43, 25]-code) | [i] | ✔ | |
| 67 | Linear OA(1650, 84, F16, 34) (dual of [84, 34, 35]-code) | [i] | ✔ | |
| 68 | Linear OA(1652, 86, F16, 35) (dual of [86, 34, 36]-code) | [i] | ✔ | |
| 69 | Linear OA(1654, 88, F16, 36) (dual of [88, 34, 37]-code) | [i] | ✔ | |
| 70 | Linear OA(1657, 91, F16, 37) (dual of [91, 34, 38]-code) | [i] | ✔ | |
| 71 | Linear OA(1659, 93, F16, 38) (dual of [93, 34, 39]-code) | [i] | ✔ | |
| 72 | Linear OA(1661, 95, F16, 39) (dual of [95, 34, 40]-code) | [i] | ✔ | |
| 73 | Linear OA(1663, 97, F16, 40) (dual of [97, 34, 41]-code) | [i] | ✔ | |
| 74 | Linear OA(1666, 100, F16, 41) (dual of [100, 34, 42]-code) | [i] | ✔ | |
| 75 | Linear OA(1668, 102, F16, 42) (dual of [102, 34, 43]-code) | [i] | ✔ | |
| 76 | Linear OA(1671, 105, F16, 43) (dual of [105, 34, 44]-code) | [i] | ✔ | |
| 77 | Linear OA(1673, 107, F16, 44) (dual of [107, 34, 45]-code) | [i] | ✔ | |
| 78 | Linear OA(1675, 109, F16, 45) (dual of [109, 34, 46]-code) | [i] | ✔ | |
| 79 | Linear OA(1678, 112, F16, 46) (dual of [112, 34, 47]-code) | [i] | ✔ | |
| 80 | Linear OA(1681, 115, F16, 47) (dual of [115, 34, 48]-code) | [i] | ✔ | |
| 81 | Linear OA(1683, 117, F16, 48) (dual of [117, 34, 49]-code) | [i] | ✔ | |
| 82 | Linear OA(1692, 119, F16, 56) (dual of [119, 27, 57]-code) | [i] | ||
| 83 | Linear OA(1691, 119, F16, 55) (dual of [119, 28, 56]-code) | [i] | ||
| 84 | Linear OA(1690, 119, F16, 54) (dual of [119, 29, 55]-code) | [i] | ||
| 85 | Linear OA(1689, 119, F16, 53) (dual of [119, 30, 54]-code) | [i] | ||
| 86 | Linear OA(1692, 116, F16, 59) (dual of [116, 24, 60]-code) | [i] | ||
| 87 | Linear OA(1691, 116, F16, 58) (dual of [116, 25, 59]-code) | [i] | ||
| 88 | Linear OA(1690, 118, F16, 55) (dual of [118, 28, 56]-code) | [i] | ||
| 89 | Linear OA(1689, 118, F16, 54) (dual of [118, 29, 55]-code) | [i] | ||
| 90 | Linear OA(1688, 118, F16, 53) (dual of [118, 30, 54]-code) | [i] | ||
| 91 | Linear OOA(1630, 32, F16, 2, 24) (dual of [(32, 2), 34, 25]-NRT-code) | [i] | OOA Folding | |