Information on Result #644734
Linear OA(1648, 64, F16, 42) (dual of [64, 16, 43]-code), using algebraic-geometric code AG(F,21P) 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(16112, 128, F16, 85) (dual of [128, 16, 86]-code) | [i] | Repeating Each Code Word | |
| 2 | Linear OA(16111, 126, F16, 85) (dual of [126, 15, 86]-code) | [i] | ||
| 3 | Linear OA(16110, 124, F16, 85) (dual of [124, 14, 86]-code) | [i] | ||
| 4 | Linear OA(16109, 122, F16, 85) (dual of [122, 13, 86]-code) | [i] | ||
| 5 | Linear OA(16108, 120, F16, 85) (dual of [120, 12, 86]-code) | [i] | ||
| 6 | Linear OA(16107, 118, F16, 85) (dual of [118, 11, 86]-code) | [i] | ||
| 7 | Linear OA(16106, 116, F16, 85) (dual of [116, 10, 86]-code) | [i] | ||
| 8 | Linear OA(16105, 114, F16, 85) (dual of [114, 9, 86]-code) | [i] | ||
| 9 | Linear OA(16104, 112, F16, 85) (dual of [112, 8, 86]-code) | [i] | ||
| 10 | Linear OA(16103, 110, F16, 85) (dual of [110, 7, 86]-code) | [i] | ||
| 11 | Linear OA(16130, 145, F16, 96) (dual of [145, 15, 97]-code) | [i] | Juxtaposition | |
| 12 | Linear OA(2256, 320, F2, 85) (dual of [320, 64, 86]-code) | [i] | Concatenation of Two Codes | |
| 13 | Linear OA(2255, 315, F2, 85) (dual of [315, 60, 86]-code) | [i] | ||
| 14 | Linear OA(2254, 310, F2, 85) (dual of [310, 56, 86]-code) | [i] | ||
| 15 | Linear OA(2253, 305, F2, 85) (dual of [305, 52, 86]-code) | [i] | ||
| 16 | Linear OA(2252, 300, F2, 85) (dual of [300, 48, 86]-code) | [i] | ||
| 17 | Linear OA(4160, 192, F4, 85) (dual of [192, 32, 86]-code) | [i] | ||
| 18 | Linear OA(4159, 189, F4, 85) (dual of [189, 30, 86]-code) | [i] | ||
| 19 | Linear OA(4158, 186, F4, 85) (dual of [186, 28, 86]-code) | [i] | ||
| 20 | Linear OA(4157, 183, F4, 85) (dual of [183, 26, 86]-code) | [i] | ||
| 21 | Linear OA(4156, 180, F4, 85) (dual of [180, 24, 86]-code) | [i] | ||
| 22 | Linear OA(4155, 177, F4, 85) (dual of [177, 22, 86]-code) | [i] | ||
| 23 | Linear OA(4154, 174, F4, 85) (dual of [174, 20, 86]-code) | [i] | ||
| 24 | Linear OA(4153, 171, F4, 85) (dual of [171, 18, 86]-code) | [i] | ||
| 25 | Linear OA(4152, 168, F4, 85) (dual of [168, 16, 86]-code) | [i] | ||
| 26 | Linear OA(4151, 165, F4, 85) (dual of [165, 14, 86]-code) | [i] | ||
| 27 | Linear OA(4224, 256, F4, 128) (dual of [256, 32, 129]-code) | [i] | ||
| 28 | Linear OA(4222, 252, F4, 128) (dual of [252, 30, 129]-code) | [i] | ||
| 29 | Linear OA(4220, 248, F4, 128) (dual of [248, 28, 129]-code) | [i] | ||
| 30 | Linear OA(4218, 244, F4, 128) (dual of [244, 26, 129]-code) | [i] | ||
| 31 | Linear OA(4216, 240, F4, 128) (dual of [240, 24, 129]-code) | [i] | ||
| 32 | Linear OA(4214, 236, F4, 128) (dual of [236, 22, 129]-code) | [i] | ||
| 33 | Linear OA(4212, 232, F4, 128) (dual of [232, 20, 129]-code) | [i] | ||
| 34 | Linear OA(4210, 228, F4, 128) (dual of [228, 18, 129]-code) | [i] | ||
| 35 | Linear OA(1651, 67, F16, 44) (dual of [67, 16, 45]-code) | [i] | ✔ | Construction X with Algebraic-Geometric Codes |
| 36 | Linear OA(1649, 67, F16, 42) (dual of [67, 18, 43]-code) | [i] | ✔ | |
| 37 | Linear OA(1653, 69, F16, 45) (dual of [69, 16, 46]-code) | [i] | ✔ | |
| 38 | Linear OA(1650, 69, F16, 42) (dual of [69, 19, 43]-code) | [i] | ✔ | |
| 39 | Linear OA(1655, 71, F16, 46) (dual of [71, 16, 47]-code) | [i] | ✔ | |
| 40 | Linear OA(1651, 71, F16, 42) (dual of [71, 20, 43]-code) | [i] | ✔ | |
| 41 | Linear OA(1657, 73, F16, 47) (dual of [73, 16, 48]-code) | [i] | ✔ | |
| 42 | Linear OA(1652, 73, F16, 42) (dual of [73, 21, 43]-code) | [i] | ✔ | |
| 43 | Linear OA(1659, 75, F16, 48) (dual of [75, 16, 49]-code) | [i] | ✔ | |
| 44 | Linear OA(1653, 75, F16, 42) (dual of [75, 22, 43]-code) | [i] | ✔ | |
| 45 | Linear OA(1661, 77, F16, 49) (dual of [77, 16, 50]-code) | [i] | ✔ | |
| 46 | Linear OA(1654, 77, F16, 42) (dual of [77, 23, 43]-code) | [i] | ✔ | |
| 47 | Linear OA(1663, 79, F16, 50) (dual of [79, 16, 51]-code) | [i] | ✔ | |
| 48 | Linear OA(1655, 79, F16, 42) (dual of [79, 24, 43]-code) | [i] | ✔ | |
| 49 | Linear OA(1665, 81, F16, 51) (dual of [81, 16, 52]-code) | [i] | ✔ | |
| 50 | Linear OA(1656, 81, F16, 42) (dual of [81, 25, 43]-code) | [i] | ✔ | |
| 51 | Linear OA(1668, 84, F16, 52) (dual of [84, 16, 53]-code) | [i] | ✔ | |
| 52 | Linear OA(1658, 84, F16, 42) (dual of [84, 26, 43]-code) | [i] | ✔ | |
| 53 | Linear OA(1670, 86, F16, 53) (dual of [86, 16, 54]-code) | [i] | ✔ | |
| 54 | Linear OA(1659, 86, F16, 42) (dual of [86, 27, 43]-code) | [i] | ✔ | |
| 55 | Linear OA(1672, 88, F16, 54) (dual of [88, 16, 55]-code) | [i] | ✔ | |
| 56 | Linear OA(1660, 88, F16, 42) (dual of [88, 28, 43]-code) | [i] | ✔ | |
| 57 | Linear OA(1675, 91, F16, 55) (dual of [91, 16, 56]-code) | [i] | ✔ | |
| 58 | Linear OA(1662, 91, F16, 42) (dual of [91, 29, 43]-code) | [i] | ✔ | |
| 59 | Linear OA(1677, 93, F16, 56) (dual of [93, 16, 57]-code) | [i] | ✔ | |
| 60 | Linear OA(1663, 93, F16, 42) (dual of [93, 30, 43]-code) | [i] | ✔ | |
| 61 | Linear OA(1686, 102, F16, 63) (dual of [102, 16, 64]-code) | [i] | ✔ | |
| 62 | Linear OA(1681, 97, F16, 59) (dual of [97, 16, 60]-code) | [i] | ✔ | |
| 63 | Linear OA(1664, 95, F16, 42) (dual of [95, 31, 43]-code) | [i] | ✔ | |
| 64 | Linear OA(1665, 97, F16, 42) (dual of [97, 32, 43]-code) | [i] | ✔ | |
| 65 | Linear OA(1667, 100, F16, 42) (dual of [100, 33, 43]-code) | [i] | ✔ | |
| 66 | Linear OA(1668, 102, F16, 42) (dual of [102, 34, 43]-code) | [i] | ✔ | |
| 67 | Linear OA(1670, 105, F16, 42) (dual of [105, 35, 43]-code) | [i] | ✔ | |
| 68 | Linear OA(1671, 107, F16, 42) (dual of [107, 36, 43]-code) | [i] | ✔ | |
| 69 | Linear OA(1672, 109, F16, 42) (dual of [109, 37, 43]-code) | [i] | ✔ | |
| 70 | Linear OA(1674, 112, F16, 42) (dual of [112, 38, 43]-code) | [i] | ✔ | |
| 71 | Linear OA(1669, 85, F16, 53) (dual of [85, 16, 54]-code) | [i] | ✔ | |
| 72 | Linear OA(1671, 87, F16, 54) (dual of [87, 16, 55]-code) | [i] | ✔ | |
| 73 | Linear OA(1674, 90, F16, 55) (dual of [90, 16, 56]-code) | [i] | ✔ | |
| 74 | Linear OA(1678, 94, F16, 58) (dual of [94, 16, 59]-code) | [i] | ✔ | |
| 75 | Linear OA(1680, 96, F16, 59) (dual of [96, 16, 60]-code) | [i] | ✔ | |
| 76 | Linear OA(1673, 89, F16, 55) (dual of [89, 16, 56]-code) | [i] | ✔ | Construction XX with a Chain of Algebraic-Geometric Codes |
| 77 | Linear OA(1672, 89, F16, 54) (dual of [89, 17, 55]-code) | [i] | ✔ | |
| 78 | Linear OOA(1648, 32, F16, 2, 42) (dual of [(32, 2), 16, 43]-NRT-code) | [i] | OOA Folding | |