Information on Result #644752
Linear OA(1639, 64, F16, 33) (dual of [64, 25, 34]-code), using algebraic-geometric code AG(F,30P) 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(16103, 128, F16, 67) (dual of [128, 25, 68]-code) | [i] | Repeating Each Code Word | |
| 2 | Linear OA(16102, 126, F16, 67) (dual of [126, 24, 68]-code) | [i] | ||
| 3 | Linear OA(16101, 124, F16, 67) (dual of [124, 23, 68]-code) | [i] | ||
| 4 | Linear OA(16100, 122, F16, 67) (dual of [122, 22, 68]-code) | [i] | ||
| 5 | Linear OA(1699, 120, F16, 67) (dual of [120, 21, 68]-code) | [i] | ||
| 6 | Linear OA(1698, 118, F16, 67) (dual of [118, 20, 68]-code) | [i] | ||
| 7 | Linear OA(1697, 116, F16, 67) (dual of [116, 19, 68]-code) | [i] | ||
| 8 | Linear OA(1696, 114, F16, 67) (dual of [114, 18, 68]-code) | [i] | ||
| 9 | Linear OA(1695, 112, F16, 67) (dual of [112, 17, 68]-code) | [i] | ||
| 10 | Linear OA(1694, 110, F16, 67) (dual of [110, 16, 68]-code) | [i] | ||
| 11 | Linear OA(1693, 108, F16, 67) (dual of [108, 15, 68]-code) | [i] | ||
| 12 | Linear OA(1692, 106, F16, 67) (dual of [106, 14, 68]-code) | [i] | ||
| 13 | Linear OA(1691, 104, F16, 67) (dual of [104, 13, 68]-code) | [i] | ||
| 14 | Linear OA(1690, 102, F16, 67) (dual of [102, 12, 68]-code) | [i] | ||
| 15 | Linear OA(2220, 320, F2, 67) (dual of [320, 100, 68]-code) | [i] | Concatenation of Two Codes | |
| 16 | Linear OA(2219, 315, F2, 67) (dual of [315, 96, 68]-code) | [i] | ||
| 17 | Linear OA(2218, 310, F2, 67) (dual of [310, 92, 68]-code) | [i] | ||
| 18 | Linear OA(2217, 305, F2, 67) (dual of [305, 88, 68]-code) | [i] | ||
| 19 | Linear OA(2216, 300, F2, 67) (dual of [300, 84, 68]-code) | [i] | ||
| 20 | Linear OA(2215, 295, F2, 67) (dual of [295, 80, 68]-code) | [i] | ||
| 21 | Linear OA(2214, 290, F2, 67) (dual of [290, 76, 68]-code) | [i] | ||
| 22 | Linear OA(2213, 285, F2, 67) (dual of [285, 72, 68]-code) | [i] | ||
| 23 | Linear OA(2212, 280, F2, 67) (dual of [280, 68, 68]-code) | [i] | ||
| 24 | Linear OA(2211, 275, F2, 67) (dual of [275, 64, 68]-code) | [i] | ||
| 25 | Linear OA(2210, 270, F2, 67) (dual of [270, 60, 68]-code) | [i] | ||
| 26 | Linear OA(2209, 265, F2, 67) (dual of [265, 56, 68]-code) | [i] | ||
| 27 | Linear OA(4142, 192, F4, 67) (dual of [192, 50, 68]-code) | [i] | ||
| 28 | Linear OA(4141, 189, F4, 67) (dual of [189, 48, 68]-code) | [i] | ||
| 29 | Linear OA(4140, 186, F4, 67) (dual of [186, 46, 68]-code) | [i] | ||
| 30 | Linear OA(4139, 183, F4, 67) (dual of [183, 44, 68]-code) | [i] | ||
| 31 | Linear OA(4138, 180, F4, 67) (dual of [180, 42, 68]-code) | [i] | ||
| 32 | Linear OA(4137, 177, F4, 67) (dual of [177, 40, 68]-code) | [i] | ||
| 33 | Linear OA(4136, 174, F4, 67) (dual of [174, 38, 68]-code) | [i] | ||
| 34 | Linear OA(4135, 171, F4, 67) (dual of [171, 36, 68]-code) | [i] | ||
| 35 | Linear OA(4134, 168, F4, 67) (dual of [168, 34, 68]-code) | [i] | ||
| 36 | Linear OA(4133, 165, F4, 67) (dual of [165, 32, 68]-code) | [i] | ||
| 37 | Linear OA(4132, 162, F4, 67) (dual of [162, 30, 68]-code) | [i] | ||
| 38 | Linear OA(4131, 159, F4, 67) (dual of [159, 28, 68]-code) | [i] | ||
| 39 | Linear OA(4130, 156, F4, 67) (dual of [156, 26, 68]-code) | [i] | ||
| 40 | Linear OA(4129, 153, F4, 67) (dual of [153, 24, 68]-code) | [i] | ||
| 41 | Linear OA(4198, 240, F4, 101) (dual of [240, 42, 102]-code) | [i] | ||
| 42 | Linear OA(4196, 236, F4, 101) (dual of [236, 40, 102]-code) | [i] | ||
| 43 | Linear OA(4194, 232, F4, 101) (dual of [232, 38, 102]-code) | [i] | ||
| 44 | Linear OA(4192, 228, F4, 101) (dual of [228, 36, 102]-code) | [i] | ||
| 45 | Linear OA(4190, 224, F4, 101) (dual of [224, 34, 102]-code) | [i] | ||
| 46 | Linear OA(4188, 220, F4, 101) (dual of [220, 32, 102]-code) | [i] | ||
| 47 | Linear OA(4186, 216, F4, 101) (dual of [216, 30, 102]-code) | [i] | ||
| 48 | Linear OA(4184, 212, F4, 101) (dual of [212, 28, 102]-code) | [i] | ||
| 49 | Linear OA(4182, 208, F4, 101) (dual of [208, 26, 102]-code) | [i] | ||
| 50 | Linear OA(4180, 204, F4, 101) (dual of [204, 24, 102]-code) | [i] | ||
| 51 | Linear OA(4258, 300, F4, 135) (dual of [300, 42, 136]-code) | [i] | ||
| 52 | Linear OA(4255, 295, F4, 135) (dual of [295, 40, 136]-code) | [i] | ||
| 53 | Linear OA(4252, 290, F4, 135) (dual of [290, 38, 136]-code) | [i] | ||
| 54 | Linear OA(4249, 285, F4, 135) (dual of [285, 36, 136]-code) | [i] | ||
| 55 | Linear OA(4246, 280, F4, 135) (dual of [280, 34, 136]-code) | [i] | ||
| 56 | Linear OA(4243, 275, F4, 135) (dual of [275, 32, 136]-code) | [i] | ||
| 57 | Linear OA(4240, 270, F4, 135) (dual of [270, 30, 136]-code) | [i] | ||
| 58 | Linear OOA(2260, 156, F2, 2, 101) (dual of [(156, 2), 52, 102]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 59 | Linear OOA(2258, 153, F2, 2, 101) (dual of [(153, 2), 48, 102]-NRT-code) | [i] | ||
| 60 | Linear OOA(2260, 104, F2, 3, 101) (dual of [(104, 3), 52, 102]-NRT-code) | [i] | ||
| 61 | Linear OOA(2258, 102, F2, 3, 101) (dual of [(102, 3), 48, 102]-NRT-code) | [i] | ||
| 62 | Linear OA(1642, 67, F16, 35) (dual of [67, 25, 36]-code) | [i] | ✔ | Construction X with Algebraic-Geometric Codes |
| 63 | Linear OA(1640, 67, F16, 33) (dual of [67, 27, 34]-code) | [i] | ✔ | |
| 64 | Linear OA(1644, 69, F16, 36) (dual of [69, 25, 37]-code) | [i] | ✔ | |
| 65 | Linear OA(1641, 69, F16, 33) (dual of [69, 28, 34]-code) | [i] | ✔ | |
| 66 | Linear OA(1646, 71, F16, 37) (dual of [71, 25, 38]-code) | [i] | ✔ | |
| 67 | Linear OA(1642, 71, F16, 33) (dual of [71, 29, 34]-code) | [i] | ✔ | |
| 68 | Linear OA(1648, 73, F16, 38) (dual of [73, 25, 39]-code) | [i] | ✔ | |
| 69 | Linear OA(1643, 73, F16, 33) (dual of [73, 30, 34]-code) | [i] | ✔ | |
| 70 | Linear OA(1650, 75, F16, 39) (dual of [75, 25, 40]-code) | [i] | ✔ | |
| 71 | Linear OA(1644, 75, F16, 33) (dual of [75, 31, 34]-code) | [i] | ✔ | |
| 72 | Linear OA(1652, 77, F16, 40) (dual of [77, 25, 41]-code) | [i] | ✔ | |
| 73 | Linear OA(1645, 77, F16, 33) (dual of [77, 32, 34]-code) | [i] | ✔ | |
| 74 | Linear OA(1654, 79, F16, 41) (dual of [79, 25, 42]-code) | [i] | ✔ | |
| 75 | Linear OA(1646, 79, F16, 33) (dual of [79, 33, 34]-code) | [i] | ✔ | |
| 76 | Linear OA(1656, 81, F16, 42) (dual of [81, 25, 43]-code) | [i] | ✔ | |
| 77 | Linear OA(1647, 81, F16, 33) (dual of [81, 34, 34]-code) | [i] | ✔ | |
| 78 | Linear OA(1659, 84, F16, 43) (dual of [84, 25, 44]-code) | [i] | ✔ | |
| 79 | Linear OA(1649, 84, F16, 33) (dual of [84, 35, 34]-code) | [i] | ✔ | |
| 80 | Linear OA(1661, 86, F16, 44) (dual of [86, 25, 45]-code) | [i] | ✔ | |
| 81 | Linear OA(1650, 86, F16, 33) (dual of [86, 36, 34]-code) | [i] | ✔ | |
| 82 | Linear OA(1663, 88, F16, 45) (dual of [88, 25, 46]-code) | [i] | ✔ | |
| 83 | Linear OA(1651, 88, F16, 33) (dual of [88, 37, 34]-code) | [i] | ✔ | |
| 84 | Linear OA(1666, 91, F16, 46) (dual of [91, 25, 47]-code) | [i] | ✔ | |
| 85 | Linear OA(1653, 91, F16, 33) (dual of [91, 38, 34]-code) | [i] | ✔ | |
| 86 | Linear OA(1668, 93, F16, 47) (dual of [93, 25, 48]-code) | [i] | ✔ | |
| 87 | Linear OA(1654, 93, F16, 33) (dual of [93, 39, 34]-code) | [i] | ✔ | |
| 88 | Linear OA(1670, 95, F16, 48) (dual of [95, 25, 49]-code) | [i] | ✔ | |
| 89 | Linear OA(1655, 95, F16, 33) (dual of [95, 40, 34]-code) | [i] | ✔ | |
| 90 | Linear OA(1672, 97, F16, 49) (dual of [97, 25, 50]-code) | [i] | ✔ | |
| 91 | Linear OA(1656, 97, F16, 33) (dual of [97, 41, 34]-code) | [i] | ✔ | |
| 92 | Linear OA(1675, 100, F16, 50) (dual of [100, 25, 51]-code) | [i] | ✔ | |
| 93 | Linear OA(1658, 100, F16, 33) (dual of [100, 42, 34]-code) | [i] | ✔ | |
| 94 | Linear OA(1677, 102, F16, 51) (dual of [102, 25, 52]-code) | [i] | ✔ | |
| 95 | Linear OA(1680, 105, F16, 52) (dual of [105, 25, 53]-code) | [i] | ✔ | |
| 96 | Linear OA(1682, 107, F16, 53) (dual of [107, 25, 54]-code) | [i] | ✔ | |
| 97 | Linear OA(1684, 109, F16, 54) (dual of [109, 25, 55]-code) | [i] | ✔ | |
| 98 | Linear OA(1687, 112, F16, 55) (dual of [112, 25, 56]-code) | [i] | ✔ | |
| 99 | Linear OA(1690, 115, F16, 56) (dual of [115, 25, 57]-code) | [i] | ✔ | |
| 100 | Linear OA(1698, 123, F16, 63) (dual of [123, 25, 64]-code) | [i] | ✔ | |
| 101 | Linear OA(1681, 106, F16, 53) (dual of [106, 25, 54]-code) | [i] | ✔ | |
| 102 | Linear OA(1683, 108, F16, 54) (dual of [108, 25, 55]-code) | [i] | ✔ | |
| 103 | Linear OA(1686, 111, F16, 55) (dual of [111, 25, 56]-code) | [i] | ✔ | |
| 104 | Linear OA(1691, 116, F16, 58) (dual of [116, 25, 59]-code) | [i] | ✔ | |
| 105 | Linear OA(1688, 113, F16, 56) (dual of [113, 25, 57]-code) | [i] | ✔ | |
| 106 | Linear OA(1693, 118, F16, 59) (dual of [118, 25, 60]-code) | [i] | ✔ | |
| 107 | Linear OOA(1639, 32, F16, 2, 33) (dual of [(32, 2), 25, 34]-NRT-code) | [i] | OOA Folding | |