Information on Result #644732
Linear OA(1649, 64, F16, 43) (dual of [64, 15, 44]-code), using algebraic-geometric code AG(F,20P) 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(16113, 128, F16, 87) (dual of [128, 15, 88]-code) | [i] | Repeating Each Code Word | |
| 2 | Linear OA(16112, 126, F16, 87) (dual of [126, 14, 88]-code) | [i] | ||
| 3 | Linear OA(16111, 124, F16, 87) (dual of [124, 13, 88]-code) | [i] | ||
| 4 | Linear OA(16110, 122, F16, 87) (dual of [122, 12, 88]-code) | [i] | ||
| 5 | Linear OA(16109, 120, F16, 87) (dual of [120, 11, 88]-code) | [i] | ||
| 6 | Linear OA(16108, 118, F16, 87) (dual of [118, 10, 88]-code) | [i] | ||
| 7 | Linear OA(16107, 116, F16, 87) (dual of [116, 9, 88]-code) | [i] | ||
| 8 | Linear OA(16106, 114, F16, 87) (dual of [114, 8, 88]-code) | [i] | ||
| 9 | Linear OA(16105, 112, F16, 87) (dual of [112, 7, 88]-code) | [i] | ||
| 10 | Linear OA(2260, 320, F2, 87) (dual of [320, 60, 88]-code) | [i] | Concatenation of Two Codes | |
| 11 | Linear OA(2259, 315, F2, 87) (dual of [315, 56, 88]-code) | [i] | ||
| 12 | Linear OA(2258, 310, F2, 87) (dual of [310, 52, 88]-code) | [i] | ||
| 13 | Linear OA(2257, 305, F2, 87) (dual of [305, 48, 88]-code) | [i] | ||
| 14 | Linear OA(4162, 192, F4, 87) (dual of [192, 30, 88]-code) | [i] | ||
| 15 | Linear OA(4161, 189, F4, 87) (dual of [189, 28, 88]-code) | [i] | ||
| 16 | Linear OA(4160, 186, F4, 87) (dual of [186, 26, 88]-code) | [i] | ||
| 17 | Linear OA(4159, 183, F4, 87) (dual of [183, 24, 88]-code) | [i] | ||
| 18 | Linear OA(4158, 180, F4, 87) (dual of [180, 22, 88]-code) | [i] | ||
| 19 | Linear OA(4157, 177, F4, 87) (dual of [177, 20, 88]-code) | [i] | ||
| 20 | Linear OA(4156, 174, F4, 87) (dual of [174, 18, 88]-code) | [i] | ||
| 21 | Linear OA(4155, 171, F4, 87) (dual of [171, 16, 88]-code) | [i] | ||
| 22 | Linear OA(4154, 168, F4, 87) (dual of [168, 14, 88]-code) | [i] | ||
| 23 | Linear OA(4226, 256, F4, 131) (dual of [256, 30, 132]-code) | [i] | ||
| 24 | Linear OA(4224, 252, F4, 131) (dual of [252, 28, 132]-code) | [i] | ||
| 25 | Linear OA(4222, 248, F4, 131) (dual of [248, 26, 132]-code) | [i] | ||
| 26 | Linear OA(4220, 244, F4, 131) (dual of [244, 24, 132]-code) | [i] | ||
| 27 | Linear OA(4218, 240, F4, 131) (dual of [240, 22, 132]-code) | [i] | ||
| 28 | Linear OA(4216, 236, F4, 131) (dual of [236, 20, 132]-code) | [i] | ||
| 29 | Linear OA(4214, 232, F4, 131) (dual of [232, 18, 132]-code) | [i] | ||
| 30 | Linear OA(1652, 67, F16, 45) (dual of [67, 15, 46]-code) | [i] | ✔ | Construction X with Algebraic-Geometric Codes |
| 31 | Linear OA(1650, 67, F16, 43) (dual of [67, 17, 44]-code) | [i] | ✔ | |
| 32 | Linear OA(1654, 69, F16, 46) (dual of [69, 15, 47]-code) | [i] | ✔ | |
| 33 | Linear OA(1651, 69, F16, 43) (dual of [69, 18, 44]-code) | [i] | ✔ | |
| 34 | Linear OA(1656, 71, F16, 47) (dual of [71, 15, 48]-code) | [i] | ✔ | |
| 35 | Linear OA(1652, 71, F16, 43) (dual of [71, 19, 44]-code) | [i] | ✔ | |
| 36 | Linear OA(1658, 73, F16, 48) (dual of [73, 15, 49]-code) | [i] | ✔ | |
| 37 | Linear OA(1653, 73, F16, 43) (dual of [73, 20, 44]-code) | [i] | ✔ | |
| 38 | Linear OA(1660, 75, F16, 49) (dual of [75, 15, 50]-code) | [i] | ✔ | |
| 39 | Linear OA(1654, 75, F16, 43) (dual of [75, 21, 44]-code) | [i] | ✔ | |
| 40 | Linear OA(1662, 77, F16, 50) (dual of [77, 15, 51]-code) | [i] | ✔ | |
| 41 | Linear OA(1655, 77, F16, 43) (dual of [77, 22, 44]-code) | [i] | ✔ | |
| 42 | Linear OA(1664, 79, F16, 51) (dual of [79, 15, 52]-code) | [i] | ✔ | |
| 43 | Linear OA(1656, 79, F16, 43) (dual of [79, 23, 44]-code) | [i] | ✔ | |
| 44 | Linear OA(1666, 81, F16, 52) (dual of [81, 15, 53]-code) | [i] | ✔ | |
| 45 | Linear OA(1657, 81, F16, 43) (dual of [81, 24, 44]-code) | [i] | ✔ | |
| 46 | Linear OA(1669, 84, F16, 53) (dual of [84, 15, 54]-code) | [i] | ✔ | |
| 47 | Linear OA(1659, 84, F16, 43) (dual of [84, 25, 44]-code) | [i] | ✔ | |
| 48 | Linear OA(1671, 86, F16, 54) (dual of [86, 15, 55]-code) | [i] | ✔ | |
| 49 | Linear OA(1660, 86, F16, 43) (dual of [86, 26, 44]-code) | [i] | ✔ | |
| 50 | Linear OA(1673, 88, F16, 55) (dual of [88, 15, 56]-code) | [i] | ✔ | |
| 51 | Linear OA(1661, 88, F16, 43) (dual of [88, 27, 44]-code) | [i] | ✔ | |
| 52 | Linear OA(1676, 91, F16, 56) (dual of [91, 15, 57]-code) | [i] | ✔ | |
| 53 | Linear OA(1663, 91, F16, 43) (dual of [91, 28, 44]-code) | [i] | ✔ | |
| 54 | Linear OA(1685, 100, F16, 63) (dual of [100, 15, 64]-code) | [i] | ✔ | |
| 55 | Linear OA(1682, 97, F16, 61) (dual of [97, 15, 62]-code) | [i] | ✔ | |
| 56 | Linear OA(1664, 93, F16, 43) (dual of [93, 29, 44]-code) | [i] | ✔ | |
| 57 | Linear OA(1665, 95, F16, 43) (dual of [95, 30, 44]-code) | [i] | ✔ | |
| 58 | Linear OA(1666, 97, F16, 43) (dual of [97, 31, 44]-code) | [i] | ✔ | |
| 59 | Linear OA(1668, 100, F16, 43) (dual of [100, 32, 44]-code) | [i] | ✔ | |
| 60 | Linear OA(1669, 102, F16, 43) (dual of [102, 33, 44]-code) | [i] | ✔ | |
| 61 | Linear OA(1671, 105, F16, 43) (dual of [105, 34, 44]-code) | [i] | ✔ | |
| 62 | Linear OA(1672, 107, F16, 43) (dual of [107, 35, 44]-code) | [i] | ✔ | |
| 63 | Linear OA(1673, 109, F16, 43) (dual of [109, 36, 44]-code) | [i] | ✔ | |
| 64 | Linear OA(1675, 112, F16, 43) (dual of [112, 37, 44]-code) | [i] | ✔ | |
| 65 | Linear OA(1668, 83, F16, 53) (dual of [83, 15, 54]-code) | [i] | ✔ | |
| 66 | Linear OA(1670, 85, F16, 54) (dual of [85, 15, 55]-code) | [i] | ✔ | |
| 67 | Linear OA(1672, 87, F16, 55) (dual of [87, 15, 56]-code) | [i] | ✔ | |
| 68 | Linear OA(1677, 92, F16, 58) (dual of [92, 15, 59]-code) | [i] | ✔ | |
| 69 | Linear OA(1679, 94, F16, 59) (dual of [94, 15, 60]-code) | [i] | ✔ | |
| 70 | Linear OA(1674, 89, F16, 56) (dual of [89, 15, 57]-code) | [i] | ✔ | Construction XX with a Chain of Algebraic-Geometric Codes |
| 71 | Linear OA(1673, 89, F16, 55) (dual of [89, 16, 56]-code) | [i] | ✔ | |
| 72 | Linear OA(1667, 82, F16, 53) (dual of [82, 15, 54]-code) | [i] | ✔ | |
| 73 | Linear OOA(1649, 32, F16, 2, 43) (dual of [(32, 2), 15, 44]-NRT-code) | [i] | OOA Folding | |