Information on Result #644728
Linear OA(1651, 64, F16, 45) (dual of [64, 13, 46]-code), using algebraic-geometric code AG(F,18P) 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(16115, 128, F16, 91) (dual of [128, 13, 92]-code) | [i] | Repeating Each Code Word | |
| 2 | Linear OA(16114, 126, F16, 91) (dual of [126, 12, 92]-code) | [i] | ||
| 3 | Linear OA(16113, 124, F16, 91) (dual of [124, 11, 92]-code) | [i] | ||
| 4 | Linear OA(16112, 122, F16, 91) (dual of [122, 10, 92]-code) | [i] | ||
| 5 | Linear OA(16111, 120, F16, 91) (dual of [120, 9, 92]-code) | [i] | ||
| 6 | Linear OA(16110, 118, F16, 91) (dual of [118, 8, 92]-code) | [i] | ||
| 7 | Linear OA(16109, 116, F16, 91) (dual of [116, 7, 92]-code) | [i] | ||
| 8 | Linear OA(4166, 192, F4, 91) (dual of [192, 26, 92]-code) | [i] | Concatenation of Two Codes | |
| 9 | Linear OA(4165, 189, F4, 91) (dual of [189, 24, 92]-code) | [i] | ||
| 10 | Linear OA(4164, 186, F4, 91) (dual of [186, 22, 92]-code) | [i] | ||
| 11 | Linear OA(4163, 183, F4, 91) (dual of [183, 20, 92]-code) | [i] | ||
| 12 | Linear OA(4162, 180, F4, 91) (dual of [180, 18, 92]-code) | [i] | ||
| 13 | Linear OA(4160, 174, F4, 91) (dual of [174, 14, 92]-code) | [i] | ||
| 14 | Linear OA(4230, 256, F4, 137) (dual of [256, 26, 138]-code) | [i] | ||
| 15 | Linear OA(4228, 252, F4, 137) (dual of [252, 24, 138]-code) | [i] | ||
| 16 | Linear OA(4226, 248, F4, 137) (dual of [248, 22, 138]-code) | [i] | ||
| 17 | Linear OA(4224, 244, F4, 137) (dual of [244, 20, 138]-code) | [i] | ||
| 18 | Linear OA(4222, 240, F4, 137) (dual of [240, 18, 138]-code) | [i] | ||
| 19 | Linear OA(1654, 67, F16, 47) (dual of [67, 13, 48]-code) | [i] | ✔ | Construction X with Algebraic-Geometric Codes |
| 20 | Linear OA(1652, 67, F16, 45) (dual of [67, 15, 46]-code) | [i] | ✔ | |
| 21 | Linear OA(1656, 69, F16, 48) (dual of [69, 13, 49]-code) | [i] | ✔ | |
| 22 | Linear OA(1653, 69, F16, 45) (dual of [69, 16, 46]-code) | [i] | ✔ | |
| 23 | Linear OA(1658, 71, F16, 49) (dual of [71, 13, 50]-code) | [i] | ✔ | |
| 24 | Linear OA(1654, 71, F16, 45) (dual of [71, 17, 46]-code) | [i] | ✔ | |
| 25 | Linear OA(1660, 73, F16, 50) (dual of [73, 13, 51]-code) | [i] | ✔ | |
| 26 | Linear OA(1655, 73, F16, 45) (dual of [73, 18, 46]-code) | [i] | ✔ | |
| 27 | Linear OA(1662, 75, F16, 51) (dual of [75, 13, 52]-code) | [i] | ✔ | |
| 28 | Linear OA(1656, 75, F16, 45) (dual of [75, 19, 46]-code) | [i] | ✔ | |
| 29 | Linear OA(1664, 77, F16, 52) (dual of [77, 13, 53]-code) | [i] | ✔ | |
| 30 | Linear OA(1657, 77, F16, 45) (dual of [77, 20, 46]-code) | [i] | ✔ | |
| 31 | Linear OA(1666, 79, F16, 53) (dual of [79, 13, 54]-code) | [i] | ✔ | |
| 32 | Linear OA(1658, 79, F16, 45) (dual of [79, 21, 46]-code) | [i] | ✔ | |
| 33 | Linear OA(1668, 81, F16, 54) (dual of [81, 13, 55]-code) | [i] | ✔ | |
| 34 | Linear OA(1659, 81, F16, 45) (dual of [81, 22, 46]-code) | [i] | ✔ | |
| 35 | Linear OA(1671, 84, F16, 55) (dual of [84, 13, 56]-code) | [i] | ✔ | |
| 36 | Linear OA(1661, 84, F16, 45) (dual of [84, 23, 46]-code) | [i] | ✔ | |
| 37 | Linear OA(1673, 86, F16, 56) (dual of [86, 13, 57]-code) | [i] | ✔ | |
| 38 | Linear OA(1662, 86, F16, 45) (dual of [86, 24, 46]-code) | [i] | ✔ | |
| 39 | Linear OA(1682, 95, F16, 63) (dual of [95, 13, 64]-code) | [i] | ✔ | |
| 40 | Linear OA(1675, 88, F16, 57) (dual of [88, 13, 58]-code) | [i] | ✔ | |
| 41 | Linear OA(1663, 88, F16, 45) (dual of [88, 25, 46]-code) | [i] | ✔ | |
| 42 | Linear OA(1665, 91, F16, 45) (dual of [91, 26, 46]-code) | [i] | ✔ | |
| 43 | Linear OA(1666, 93, F16, 45) (dual of [93, 27, 46]-code) | [i] | ✔ | |
| 44 | Linear OA(1667, 95, F16, 45) (dual of [95, 28, 46]-code) | [i] | ✔ | |
| 45 | Linear OA(1668, 97, F16, 45) (dual of [97, 29, 46]-code) | [i] | ✔ | |
| 46 | Linear OA(1670, 100, F16, 45) (dual of [100, 30, 46]-code) | [i] | ✔ | |
| 47 | Linear OA(1671, 102, F16, 45) (dual of [102, 31, 46]-code) | [i] | ✔ | |
| 48 | Linear OA(1673, 105, F16, 45) (dual of [105, 32, 46]-code) | [i] | ✔ | |
| 49 | Linear OA(1674, 107, F16, 45) (dual of [107, 33, 46]-code) | [i] | ✔ | |
| 50 | Linear OA(1675, 109, F16, 45) (dual of [109, 34, 46]-code) | [i] | ✔ | |
| 51 | Linear OA(1677, 112, F16, 45) (dual of [112, 35, 46]-code) | [i] | ✔ | |
| 52 | Linear OA(1679, 115, F16, 45) (dual of [115, 36, 46]-code) | [i] | ✔ | |
| 53 | Linear OA(1680, 117, F16, 45) (dual of [117, 37, 46]-code) | [i] | ✔ | |
| 54 | Linear OA(1665, 78, F16, 53) (dual of [78, 13, 54]-code) | [i] | ✔ | |
| 55 | Linear OA(1667, 80, F16, 54) (dual of [80, 13, 55]-code) | [i] | ✔ | |
| 56 | Linear OA(1670, 83, F16, 55) (dual of [83, 13, 56]-code) | [i] | ✔ | |
| 57 | Linear OA(1674, 87, F16, 58) (dual of [87, 13, 59]-code) | [i] | ✔ | |
| 58 | Linear OA(1677, 90, F16, 59) (dual of [90, 13, 60]-code) | [i] | ✔ | |
| 59 | Linear OA(1676, 89, F16, 58) (dual of [89, 13, 59]-code) | [i] | ✔ | Construction XX with a Chain of Algebraic-Geometric Codes |
| 60 | Linear OA(1676, 89, F16, 59) (dual of [89, 13, 60]-code) | [i] | ✔ | |
| 61 | Linear OA(1675, 89, F16, 58) (dual of [89, 14, 59]-code) | [i] | ✔ | |
| 62 | Linear OA(1669, 82, F16, 55) (dual of [82, 13, 56]-code) | [i] | ✔ | |
| 63 | Linear OA(1668, 82, F16, 54) (dual of [82, 14, 55]-code) | [i] | ✔ | |
| 64 | Linear OOA(1651, 32, F16, 2, 45) (dual of [(32, 2), 13, 46]-NRT-code) | [i] | OOA Folding | |