Information on Result #644756
Linear OA(1637, 64, F16, 31) (dual of [64, 27, 32]-code), using algebraic-geometric code AG(F,32P) 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(16101, 128, F16, 63) (dual of [128, 27, 64]-code) | [i] | Repeating Each Code Word | |
| 2 | Linear OA(16100, 126, F16, 63) (dual of [126, 26, 64]-code) | [i] | ||
| 3 | Linear OA(1699, 124, F16, 63) (dual of [124, 25, 64]-code) | [i] | ||
| 4 | Linear OA(1698, 122, F16, 63) (dual of [122, 24, 64]-code) | [i] | ||
| 5 | Linear OA(1697, 120, F16, 63) (dual of [120, 23, 64]-code) | [i] | ||
| 6 | Linear OA(1696, 118, F16, 63) (dual of [118, 22, 64]-code) | [i] | ||
| 7 | Linear OA(1695, 116, F16, 63) (dual of [116, 21, 64]-code) | [i] | ||
| 8 | Linear OA(1694, 114, F16, 63) (dual of [114, 20, 64]-code) | [i] | ||
| 9 | Linear OA(1693, 112, F16, 63) (dual of [112, 19, 64]-code) | [i] | ||
| 10 | Linear OA(1692, 110, F16, 63) (dual of [110, 18, 64]-code) | [i] | ||
| 11 | Linear OA(1691, 108, F16, 63) (dual of [108, 17, 64]-code) | [i] | ||
| 12 | Linear OA(1690, 106, F16, 63) (dual of [106, 16, 64]-code) | [i] | ||
| 13 | Linear OA(1689, 104, F16, 63) (dual of [104, 15, 64]-code) | [i] | ||
| 14 | Linear OA(1688, 102, F16, 63) (dual of [102, 14, 64]-code) | [i] | ||
| 15 | Linear OA(16100, 128, F16, 63) (dual of [128, 28, 64]-code) | [i] | (u, u+v)-Construction | |
| 16 | Linear OA(2212, 320, F2, 63) (dual of [320, 108, 64]-code) | [i] | Concatenation of Two Codes | |
| 17 | Linear OA(2211, 315, F2, 63) (dual of [315, 104, 64]-code) | [i] | ||
| 18 | Linear OA(2210, 310, F2, 63) (dual of [310, 100, 64]-code) | [i] | ||
| 19 | Linear OA(2209, 305, F2, 63) (dual of [305, 96, 64]-code) | [i] | ||
| 20 | Linear OA(2208, 300, F2, 63) (dual of [300, 92, 64]-code) | [i] | ||
| 21 | Linear OA(2207, 295, F2, 63) (dual of [295, 88, 64]-code) | [i] | ||
| 22 | Linear OA(2206, 290, F2, 63) (dual of [290, 84, 64]-code) | [i] | ||
| 23 | Linear OA(2205, 285, F2, 63) (dual of [285, 80, 64]-code) | [i] | ||
| 24 | Linear OA(2204, 280, F2, 63) (dual of [280, 76, 64]-code) | [i] | ||
| 25 | Linear OA(2203, 275, F2, 63) (dual of [275, 72, 64]-code) | [i] | ||
| 26 | Linear OA(2202, 270, F2, 63) (dual of [270, 68, 64]-code) | [i] | ||
| 27 | Linear OA(2201, 265, F2, 63) (dual of [265, 64, 64]-code) | [i] | ||
| 28 | Linear OA(4138, 192, F4, 63) (dual of [192, 54, 64]-code) | [i] | ||
| 29 | Linear OA(4137, 189, F4, 63) (dual of [189, 52, 64]-code) | [i] | ||
| 30 | Linear OA(4136, 186, F4, 63) (dual of [186, 50, 64]-code) | [i] | ||
| 31 | Linear OA(4135, 183, F4, 63) (dual of [183, 48, 64]-code) | [i] | ||
| 32 | Linear OA(4134, 180, F4, 63) (dual of [180, 46, 64]-code) | [i] | ||
| 33 | Linear OA(4133, 177, F4, 63) (dual of [177, 44, 64]-code) | [i] | ||
| 34 | Linear OA(4132, 174, F4, 63) (dual of [174, 42, 64]-code) | [i] | ||
| 35 | Linear OA(4131, 171, F4, 63) (dual of [171, 40, 64]-code) | [i] | ||
| 36 | Linear OA(4130, 168, F4, 63) (dual of [168, 38, 64]-code) | [i] | ||
| 37 | Linear OA(4129, 165, F4, 63) (dual of [165, 36, 64]-code) | [i] | ||
| 38 | Linear OA(4128, 162, F4, 63) (dual of [162, 34, 64]-code) | [i] | ||
| 39 | Linear OA(4127, 159, F4, 63) (dual of [159, 32, 64]-code) | [i] | ||
| 40 | Linear OA(4126, 156, F4, 63) (dual of [156, 30, 64]-code) | [i] | ||
| 41 | Linear OA(4125, 153, F4, 63) (dual of [153, 28, 64]-code) | [i] | ||
| 42 | Linear OA(4192, 236, F4, 95) (dual of [236, 44, 96]-code) | [i] | ||
| 43 | Linear OA(4190, 232, F4, 95) (dual of [232, 42, 96]-code) | [i] | ||
| 44 | Linear OA(4188, 228, F4, 95) (dual of [228, 40, 96]-code) | [i] | ||
| 45 | Linear OA(4186, 224, F4, 95) (dual of [224, 38, 96]-code) | [i] | ||
| 46 | Linear OA(4184, 220, F4, 95) (dual of [220, 36, 96]-code) | [i] | ||
| 47 | Linear OA(4182, 216, F4, 95) (dual of [216, 34, 96]-code) | [i] | ||
| 48 | Linear OA(4180, 212, F4, 95) (dual of [212, 32, 96]-code) | [i] | ||
| 49 | Linear OA(4178, 208, F4, 95) (dual of [208, 30, 96]-code) | [i] | ||
| 50 | Linear OA(4176, 204, F4, 95) (dual of [204, 28, 96]-code) | [i] | ||
| 51 | Linear OA(4260, 310, F4, 127) (dual of [310, 50, 128]-code) | [i] | ||
| 52 | Linear OA(4257, 305, F4, 127) (dual of [305, 48, 128]-code) | [i] | ||
| 53 | Linear OA(4254, 300, F4, 127) (dual of [300, 46, 128]-code) | [i] | ||
| 54 | Linear OA(4251, 295, F4, 127) (dual of [295, 44, 128]-code) | [i] | ||
| 55 | Linear OA(4248, 290, F4, 127) (dual of [290, 42, 128]-code) | [i] | ||
| 56 | Linear OA(4245, 285, F4, 127) (dual of [285, 40, 128]-code) | [i] | ||
| 57 | Linear OA(4242, 280, F4, 127) (dual of [280, 38, 128]-code) | [i] | ||
| 58 | Linear OA(4239, 275, F4, 127) (dual of [275, 36, 128]-code) | [i] | ||
| 59 | Linear OOA(2260, 168, F2, 2, 95) (dual of [(168, 2), 76, 96]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 60 | Linear OOA(2258, 165, F2, 2, 95) (dual of [(165, 2), 72, 96]-NRT-code) | [i] | ||
| 61 | Linear OOA(2256, 162, F2, 2, 95) (dual of [(162, 2), 68, 96]-NRT-code) | [i] | ||
| 62 | Linear OOA(2254, 159, F2, 2, 95) (dual of [(159, 2), 64, 96]-NRT-code) | [i] | ||
| 63 | Linear OOA(2252, 156, F2, 2, 95) (dual of [(156, 2), 60, 96]-NRT-code) | [i] | ||
| 64 | Linear OOA(2250, 153, F2, 2, 95) (dual of [(153, 2), 56, 96]-NRT-code) | [i] | ||
| 65 | Linear OOA(2254, 106, F2, 3, 95) (dual of [(106, 3), 64, 96]-NRT-code) | [i] | ||
| 66 | Linear OOA(2252, 104, F2, 3, 95) (dual of [(104, 3), 60, 96]-NRT-code) | [i] | ||
| 67 | Linear OOA(2250, 102, F2, 3, 95) (dual of [(102, 3), 56, 96]-NRT-code) | [i] | ||
| 68 | Linear OA(1640, 67, F16, 33) (dual of [67, 27, 34]-code) | [i] | ✔ | Construction X with Algebraic-Geometric Codes |
| 69 | Linear OA(1638, 67, F16, 31) (dual of [67, 29, 32]-code) | [i] | ✔ | |
| 70 | Linear OA(1642, 69, F16, 34) (dual of [69, 27, 35]-code) | [i] | ✔ | |
| 71 | Linear OA(1639, 69, F16, 31) (dual of [69, 30, 32]-code) | [i] | ✔ | |
| 72 | Linear OA(1644, 71, F16, 35) (dual of [71, 27, 36]-code) | [i] | ✔ | |
| 73 | Linear OA(1640, 71, F16, 31) (dual of [71, 31, 32]-code) | [i] | ✔ | |
| 74 | Linear OA(1646, 73, F16, 36) (dual of [73, 27, 37]-code) | [i] | ✔ | |
| 75 | Linear OA(1641, 73, F16, 31) (dual of [73, 32, 32]-code) | [i] | ✔ | |
| 76 | Linear OA(1648, 75, F16, 37) (dual of [75, 27, 38]-code) | [i] | ✔ | |
| 77 | Linear OA(1642, 75, F16, 31) (dual of [75, 33, 32]-code) | [i] | ✔ | |
| 78 | Linear OA(1650, 77, F16, 38) (dual of [77, 27, 39]-code) | [i] | ✔ | |
| 79 | Linear OA(1643, 77, F16, 31) (dual of [77, 34, 32]-code) | [i] | ✔ | |
| 80 | Linear OA(1652, 79, F16, 39) (dual of [79, 27, 40]-code) | [i] | ✔ | |
| 81 | Linear OA(1644, 79, F16, 31) (dual of [79, 35, 32]-code) | [i] | ✔ | |
| 82 | Linear OA(1654, 81, F16, 40) (dual of [81, 27, 41]-code) | [i] | ✔ | |
| 83 | Linear OA(1645, 81, F16, 31) (dual of [81, 36, 32]-code) | [i] | ✔ | |
| 84 | Linear OA(1657, 84, F16, 41) (dual of [84, 27, 42]-code) | [i] | ✔ | |
| 85 | Linear OA(1647, 84, F16, 31) (dual of [84, 37, 32]-code) | [i] | ✔ | |
| 86 | Linear OA(1659, 86, F16, 42) (dual of [86, 27, 43]-code) | [i] | ✔ | |
| 87 | Linear OA(1648, 86, F16, 31) (dual of [86, 38, 32]-code) | [i] | ✔ | |
| 88 | Linear OA(1661, 88, F16, 43) (dual of [88, 27, 44]-code) | [i] | ✔ | |
| 89 | Linear OA(1649, 88, F16, 31) (dual of [88, 39, 32]-code) | [i] | ✔ | |
| 90 | Linear OA(1664, 91, F16, 44) (dual of [91, 27, 45]-code) | [i] | ✔ | |
| 91 | Linear OA(1651, 91, F16, 31) (dual of [91, 40, 32]-code) | [i] | ✔ | |
| 92 | Linear OA(1666, 93, F16, 45) (dual of [93, 27, 46]-code) | [i] | ✔ | |
| 93 | Linear OA(1652, 93, F16, 31) (dual of [93, 41, 32]-code) | [i] | ✔ | |
| 94 | Linear OA(1668, 95, F16, 46) (dual of [95, 27, 47]-code) | [i] | ✔ | |
| 95 | Linear OA(1653, 95, F16, 31) (dual of [95, 42, 32]-code) | [i] | ✔ | |
| 96 | Linear OA(1670, 97, F16, 47) (dual of [97, 27, 48]-code) | [i] | ✔ | |
| 97 | Linear OA(1654, 97, F16, 31) (dual of [97, 43, 32]-code) | [i] | ✔ | |
| 98 | Linear OA(1673, 100, F16, 48) (dual of [100, 27, 49]-code) | [i] | ✔ | |
| 99 | Linear OA(1656, 100, F16, 31) (dual of [100, 44, 32]-code) | [i] | ✔ | |
| 100 | Linear OA(1675, 102, F16, 49) (dual of [102, 27, 50]-code) | [i] | ✔ | |
| 101 | Linear OA(1678, 105, F16, 50) (dual of [105, 27, 51]-code) | [i] | ✔ | |
| 102 | Linear OA(1680, 107, F16, 51) (dual of [107, 27, 52]-code) | [i] | ✔ | |
| 103 | Linear OA(1682, 109, F16, 52) (dual of [109, 27, 53]-code) | [i] | ✔ | |
| 104 | Linear OA(1685, 112, F16, 53) (dual of [112, 27, 54]-code) | [i] | ✔ | |
| 105 | Linear OA(1688, 115, F16, 54) (dual of [115, 27, 55]-code) | [i] | ✔ | |
| 106 | Linear OA(1690, 117, F16, 55) (dual of [117, 27, 56]-code) | [i] | ✔ | |
| 107 | Linear OA(1692, 119, F16, 56) (dual of [119, 27, 57]-code) | [i] | ✔ | |
| 108 | Linear OA(16100, 127, F16, 63) (dual of [127, 27, 64]-code) | [i] | ✔ | |
| 109 | Linear OA(16100, 127, F16, 63) (dual of [127, 27, 64]-code) | [i] | ||
| 110 | Linear OA(1684, 111, F16, 53) (dual of [111, 27, 54]-code) | [i] | ✔ | |
| 111 | Linear OA(1686, 113, F16, 54) (dual of [113, 27, 55]-code) | [i] | ✔ | |
| 112 | Linear OA(1689, 116, F16, 55) (dual of [116, 27, 56]-code) | [i] | ✔ | |
| 113 | Linear OA(1693, 120, F16, 58) (dual of [120, 27, 59]-code) | [i] | ✔ | |
| 114 | Linear OA(1695, 122, F16, 59) (dual of [122, 27, 60]-code) | [i] | ✔ | |
| 115 | Linear OOA(1637, 32, F16, 2, 31) (dual of [(32, 2), 27, 32]-NRT-code) | [i] | OOA Folding | |