Information on Result #644758
Linear OA(1636, 64, F16, 30) (dual of [64, 28, 31]-code), using algebraic-geometric code AG(F,33P) 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(16100, 128, F16, 61) (dual of [128, 28, 62]-code) | [i] | Repeating Each Code Word | |
| 2 | Linear OA(1699, 126, F16, 61) (dual of [126, 27, 62]-code) | [i] | ||
| 3 | Linear OA(1698, 124, F16, 61) (dual of [124, 26, 62]-code) | [i] | ||
| 4 | Linear OA(1697, 122, F16, 61) (dual of [122, 25, 62]-code) | [i] | ||
| 5 | Linear OA(1696, 120, F16, 61) (dual of [120, 24, 62]-code) | [i] | ||
| 6 | Linear OA(1695, 118, F16, 61) (dual of [118, 23, 62]-code) | [i] | ||
| 7 | Linear OA(1694, 116, F16, 61) (dual of [116, 22, 62]-code) | [i] | ||
| 8 | Linear OA(1693, 114, F16, 61) (dual of [114, 21, 62]-code) | [i] | ||
| 9 | Linear OA(1692, 112, F16, 61) (dual of [112, 20, 62]-code) | [i] | ||
| 10 | Linear OA(1691, 110, F16, 61) (dual of [110, 19, 62]-code) | [i] | ||
| 11 | Linear OA(1690, 108, F16, 61) (dual of [108, 18, 62]-code) | [i] | ||
| 12 | Linear OA(1689, 106, F16, 61) (dual of [106, 17, 62]-code) | [i] | ||
| 13 | Linear OA(1688, 104, F16, 61) (dual of [104, 16, 62]-code) | [i] | ||
| 14 | Linear OA(1687, 102, F16, 61) (dual of [102, 15, 62]-code) | [i] | ||
| 15 | Linear OA(1697, 124, F16, 61) (dual of [124, 27, 62]-code) | [i] | (u, u+v)-Construction | |
| 16 | Linear OA(2208, 320, F2, 61) (dual of [320, 112, 62]-code) | [i] | Concatenation of Two Codes | |
| 17 | Linear OA(2207, 315, F2, 61) (dual of [315, 108, 62]-code) | [i] | ||
| 18 | Linear OA(2206, 310, F2, 61) (dual of [310, 104, 62]-code) | [i] | ||
| 19 | Linear OA(2205, 305, F2, 61) (dual of [305, 100, 62]-code) | [i] | ||
| 20 | Linear OA(2204, 300, F2, 61) (dual of [300, 96, 62]-code) | [i] | ||
| 21 | Linear OA(2203, 295, F2, 61) (dual of [295, 92, 62]-code) | [i] | ||
| 22 | Linear OA(2202, 290, F2, 61) (dual of [290, 88, 62]-code) | [i] | ||
| 23 | Linear OA(2201, 285, F2, 61) (dual of [285, 84, 62]-code) | [i] | ||
| 24 | Linear OA(2200, 280, F2, 61) (dual of [280, 80, 62]-code) | [i] | ||
| 25 | Linear OA(2199, 275, F2, 61) (dual of [275, 76, 62]-code) | [i] | ||
| 26 | Linear OA(2198, 270, F2, 61) (dual of [270, 72, 62]-code) | [i] | ||
| 27 | Linear OA(4136, 192, F4, 61) (dual of [192, 56, 62]-code) | [i] | ||
| 28 | Linear OA(4135, 189, F4, 61) (dual of [189, 54, 62]-code) | [i] | ||
| 29 | Linear OA(4134, 186, F4, 61) (dual of [186, 52, 62]-code) | [i] | ||
| 30 | Linear OA(4133, 183, F4, 61) (dual of [183, 50, 62]-code) | [i] | ||
| 31 | Linear OA(4132, 180, F4, 61) (dual of [180, 48, 62]-code) | [i] | ||
| 32 | Linear OA(4131, 177, F4, 61) (dual of [177, 46, 62]-code) | [i] | ||
| 33 | Linear OA(4130, 174, F4, 61) (dual of [174, 44, 62]-code) | [i] | ||
| 34 | Linear OA(4129, 171, F4, 61) (dual of [171, 42, 62]-code) | [i] | ||
| 35 | Linear OA(4128, 168, F4, 61) (dual of [168, 40, 62]-code) | [i] | ||
| 36 | Linear OA(4127, 165, F4, 61) (dual of [165, 38, 62]-code) | [i] | ||
| 37 | Linear OA(4126, 162, F4, 61) (dual of [162, 36, 62]-code) | [i] | ||
| 38 | Linear OA(4125, 159, F4, 61) (dual of [159, 34, 62]-code) | [i] | ||
| 39 | Linear OA(4124, 156, F4, 61) (dual of [156, 32, 62]-code) | [i] | ||
| 40 | Linear OA(4123, 153, F4, 61) (dual of [153, 30, 62]-code) | [i] | ||
| 41 | Linear OA(4188, 232, F4, 92) (dual of [232, 44, 93]-code) | [i] | ||
| 42 | Linear OA(4186, 228, F4, 92) (dual of [228, 42, 93]-code) | [i] | ||
| 43 | Linear OA(4184, 224, F4, 92) (dual of [224, 40, 93]-code) | [i] | ||
| 44 | Linear OA(4182, 220, F4, 92) (dual of [220, 38, 93]-code) | [i] | ||
| 45 | Linear OA(4180, 216, F4, 92) (dual of [216, 36, 93]-code) | [i] | ||
| 46 | Linear OA(4178, 212, F4, 92) (dual of [212, 34, 93]-code) | [i] | ||
| 47 | Linear OA(4176, 208, F4, 92) (dual of [208, 32, 93]-code) | [i] | ||
| 48 | Linear OA(4174, 204, F4, 92) (dual of [204, 30, 93]-code) | [i] | ||
| 49 | Linear OA(4258, 310, F4, 123) (dual of [310, 52, 124]-code) | [i] | ||
| 50 | Linear OA(4255, 305, F4, 123) (dual of [305, 50, 124]-code) | [i] | ||
| 51 | Linear OA(4252, 300, F4, 123) (dual of [300, 48, 124]-code) | [i] | ||
| 52 | Linear OA(4249, 295, F4, 123) (dual of [295, 46, 124]-code) | [i] | ||
| 53 | Linear OA(4246, 290, F4, 123) (dual of [290, 44, 124]-code) | [i] | ||
| 54 | Linear OA(4243, 285, F4, 123) (dual of [285, 42, 124]-code) | [i] | ||
| 55 | Linear OA(4240, 280, F4, 123) (dual of [280, 40, 124]-code) | [i] | ||
| 56 | Linear OA(4237, 275, F4, 123) (dual of [275, 38, 124]-code) | [i] | ||
| 57 | Linear OOA(2260, 174, F2, 2, 92) (dual of [(174, 2), 88, 93]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 58 | Linear OOA(2258, 171, F2, 2, 92) (dual of [(171, 2), 84, 93]-NRT-code) | [i] | ||
| 59 | Linear OOA(2256, 168, F2, 2, 92) (dual of [(168, 2), 80, 93]-NRT-code) | [i] | ||
| 60 | Linear OOA(2254, 165, F2, 2, 92) (dual of [(165, 2), 76, 93]-NRT-code) | [i] | ||
| 61 | Linear OOA(2252, 162, F2, 2, 92) (dual of [(162, 2), 72, 93]-NRT-code) | [i] | ||
| 62 | Linear OOA(2250, 159, F2, 2, 92) (dual of [(159, 2), 68, 93]-NRT-code) | [i] | ||
| 63 | Linear OOA(2248, 156, F2, 2, 92) (dual of [(156, 2), 64, 93]-NRT-code) | [i] | ||
| 64 | Linear OOA(2246, 153, F2, 2, 92) (dual of [(153, 2), 60, 93]-NRT-code) | [i] | ||
| 65 | Linear OOA(2260, 116, F2, 3, 92) (dual of [(116, 3), 88, 93]-NRT-code) | [i] | ||
| 66 | Linear OOA(2248, 104, F2, 3, 92) (dual of [(104, 3), 64, 93]-NRT-code) | [i] | ||
| 67 | Linear OOA(2246, 102, F2, 3, 92) (dual of [(102, 3), 60, 93]-NRT-code) | [i] | ||
| 68 | Linear OA(1639, 67, F16, 32) (dual of [67, 28, 33]-code) | [i] | ✔ | Construction X with Algebraic-Geometric Codes |
| 69 | Linear OA(1637, 67, F16, 30) (dual of [67, 30, 31]-code) | [i] | ✔ | |
| 70 | Linear OA(1641, 69, F16, 33) (dual of [69, 28, 34]-code) | [i] | ✔ | |
| 71 | Linear OA(1638, 69, F16, 30) (dual of [69, 31, 31]-code) | [i] | ✔ | |
| 72 | Linear OA(1643, 71, F16, 34) (dual of [71, 28, 35]-code) | [i] | ✔ | |
| 73 | Linear OA(1639, 71, F16, 30) (dual of [71, 32, 31]-code) | [i] | ✔ | |
| 74 | Linear OA(1645, 73, F16, 35) (dual of [73, 28, 36]-code) | [i] | ✔ | |
| 75 | Linear OA(1640, 73, F16, 30) (dual of [73, 33, 31]-code) | [i] | ✔ | |
| 76 | Linear OA(1647, 75, F16, 36) (dual of [75, 28, 37]-code) | [i] | ✔ | |
| 77 | Linear OA(1641, 75, F16, 30) (dual of [75, 34, 31]-code) | [i] | ✔ | |
| 78 | Linear OA(1649, 77, F16, 37) (dual of [77, 28, 38]-code) | [i] | ✔ | |
| 79 | Linear OA(1642, 77, F16, 30) (dual of [77, 35, 31]-code) | [i] | ✔ | |
| 80 | Linear OA(1651, 79, F16, 38) (dual of [79, 28, 39]-code) | [i] | ✔ | |
| 81 | Linear OA(1643, 79, F16, 30) (dual of [79, 36, 31]-code) | [i] | ✔ | |
| 82 | Linear OA(1653, 81, F16, 39) (dual of [81, 28, 40]-code) | [i] | ✔ | |
| 83 | Linear OA(1644, 81, F16, 30) (dual of [81, 37, 31]-code) | [i] | ✔ | |
| 84 | Linear OA(1656, 84, F16, 40) (dual of [84, 28, 41]-code) | [i] | ✔ | |
| 85 | Linear OA(1646, 84, F16, 30) (dual of [84, 38, 31]-code) | [i] | ✔ | |
| 86 | Linear OA(1658, 86, F16, 41) (dual of [86, 28, 42]-code) | [i] | ✔ | |
| 87 | Linear OA(1647, 86, F16, 30) (dual of [86, 39, 31]-code) | [i] | ✔ | |
| 88 | Linear OA(1660, 88, F16, 42) (dual of [88, 28, 43]-code) | [i] | ✔ | |
| 89 | Linear OA(1648, 88, F16, 30) (dual of [88, 40, 31]-code) | [i] | ✔ | |
| 90 | Linear OA(1663, 91, F16, 43) (dual of [91, 28, 44]-code) | [i] | ✔ | |
| 91 | Linear OA(1650, 91, F16, 30) (dual of [91, 41, 31]-code) | [i] | ✔ | |
| 92 | Linear OA(1665, 93, F16, 44) (dual of [93, 28, 45]-code) | [i] | ✔ | |
| 93 | Linear OA(1651, 93, F16, 30) (dual of [93, 42, 31]-code) | [i] | ✔ | |
| 94 | Linear OA(1667, 95, F16, 45) (dual of [95, 28, 46]-code) | [i] | ✔ | |
| 95 | Linear OA(1652, 95, F16, 30) (dual of [95, 43, 31]-code) | [i] | ✔ | |
| 96 | Linear OA(1669, 97, F16, 46) (dual of [97, 28, 47]-code) | [i] | ✔ | |
| 97 | Linear OA(1653, 97, F16, 30) (dual of [97, 44, 31]-code) | [i] | ✔ | |
| 98 | Linear OA(1672, 100, F16, 47) (dual of [100, 28, 48]-code) | [i] | ✔ | |
| 99 | Linear OA(1655, 100, F16, 30) (dual of [100, 45, 31]-code) | [i] | ✔ | |
| 100 | Linear OA(1674, 102, F16, 48) (dual of [102, 28, 49]-code) | [i] | ✔ | |
| 101 | Linear OA(1677, 105, F16, 49) (dual of [105, 28, 50]-code) | [i] | ✔ | |
| 102 | Linear OA(1679, 107, F16, 50) (dual of [107, 28, 51]-code) | [i] | ✔ | |
| 103 | Linear OA(1681, 109, F16, 51) (dual of [109, 28, 52]-code) | [i] | ✔ | |
| 104 | Linear OA(1684, 112, F16, 52) (dual of [112, 28, 53]-code) | [i] | ✔ | |
| 105 | Linear OA(1687, 115, F16, 53) (dual of [115, 28, 54]-code) | [i] | ✔ | |
| 106 | Linear OA(1689, 117, F16, 54) (dual of [117, 28, 55]-code) | [i] | ✔ | |
| 107 | Linear OA(1699, 125, F16, 63) (dual of [125, 26, 64]-code) | [i] | ||
| 108 | Linear OA(1691, 119, F16, 55) (dual of [119, 28, 56]-code) | [i] | ✔ | |
| 109 | Linear OA(1693, 121, F16, 56) (dual of [121, 28, 57]-code) | [i] | ✔ | |
| 110 | Linear OA(16101, 129, F16, 63) (dual of [129, 28, 64]-code) | [i] | ✔ | |
| 111 | Linear OA(1685, 113, F16, 53) (dual of [113, 28, 54]-code) | [i] | ✔ | |
| 112 | Linear OA(1688, 116, F16, 54) (dual of [116, 28, 55]-code) | [i] | ✔ | |
| 113 | Linear OA(1690, 118, F16, 55) (dual of [118, 28, 56]-code) | [i] | ✔ | |
| 114 | Linear OA(1694, 122, F16, 58) (dual of [122, 28, 59]-code) | [i] | ✔ | |
| 115 | Linear OA(1696, 124, F16, 59) (dual of [124, 28, 60]-code) | [i] | ✔ | |
| 116 | Linear OA(1698, 128, F16, 59) (dual of [128, 30, 60]-code) | [i] | ||
| 117 | Linear OA(1697, 128, F16, 58) (dual of [128, 31, 59]-code) | [i] | ||
| 118 | Linear OOA(1636, 32, F16, 2, 30) (dual of [(32, 2), 28, 31]-NRT-code) | [i] | OOA Folding | |