Information on Result #644720
Linear OA(1655, 64, F16, 49) (dual of [64, 9, 50]-code), using algebraic-geometric code AG(F,14P) 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(16119, 128, F16, 99) (dual of [128, 9, 100]-code) | [i] | Repeating Each Code Word | |
| 2 | Linear OA(16118, 126, F16, 99) (dual of [126, 8, 100]-code) | [i] | ||
| 3 | Linear OA(16117, 124, F16, 99) (dual of [124, 7, 100]-code) | [i] | ||
| 4 | Linear OA(16127, 136, F16, 104) (dual of [136, 9, 105]-code) | [i] | Juxtaposition | |
| 5 | Linear OA(4174, 192, F4, 99) (dual of [192, 18, 100]-code) | [i] | Concatenation of Two Codes | |
| 6 | Linear OA(4238, 256, F4, 149) (dual of [256, 18, 150]-code) | [i] | ||
| 7 | Linear OA(1658, 67, F16, 51) (dual of [67, 9, 52]-code) | [i] | ✔ | Construction X with Algebraic-Geometric Codes |
| 8 | Linear OA(1656, 67, F16, 49) (dual of [67, 11, 50]-code) | [i] | ✔ | |
| 9 | Linear OA(1660, 69, F16, 52) (dual of [69, 9, 53]-code) | [i] | ✔ | |
| 10 | Linear OA(1657, 69, F16, 49) (dual of [69, 12, 50]-code) | [i] | ✔ | |
| 11 | Linear OA(1662, 71, F16, 53) (dual of [71, 9, 54]-code) | [i] | ✔ | |
| 12 | Linear OA(1658, 71, F16, 49) (dual of [71, 13, 50]-code) | [i] | ✔ | |
| 13 | Linear OA(1664, 73, F16, 54) (dual of [73, 9, 55]-code) | [i] | ✔ | |
| 14 | Linear OA(1659, 73, F16, 49) (dual of [73, 14, 50]-code) | [i] | ✔ | |
| 15 | Linear OA(1666, 75, F16, 55) (dual of [75, 9, 56]-code) | [i] | ✔ | |
| 16 | Linear OA(1660, 75, F16, 49) (dual of [75, 15, 50]-code) | [i] | ✔ | |
| 17 | Linear OA(1668, 77, F16, 56) (dual of [77, 9, 57]-code) | [i] | ✔ | |
| 18 | Linear OA(1661, 77, F16, 49) (dual of [77, 16, 50]-code) | [i] | ✔ | |
| 19 | Linear OA(1677, 86, F16, 63) (dual of [86, 9, 64]-code) | [i] | ✔ | |
| 20 | Linear OA(1672, 81, F16, 59) (dual of [81, 9, 60]-code) | [i] | ✔ | |
| 21 | Linear OA(1662, 79, F16, 49) (dual of [79, 17, 50]-code) | [i] | ✔ | |
| 22 | Linear OA(1663, 81, F16, 49) (dual of [81, 18, 50]-code) | [i] | ✔ | |
| 23 | Linear OA(1665, 84, F16, 49) (dual of [84, 19, 50]-code) | [i] | ✔ | |
| 24 | Linear OA(1666, 86, F16, 49) (dual of [86, 20, 50]-code) | [i] | ✔ | |
| 25 | Linear OA(1667, 88, F16, 49) (dual of [88, 21, 50]-code) | [i] | ✔ | |
| 26 | Linear OA(1669, 91, F16, 49) (dual of [91, 22, 50]-code) | [i] | ✔ | |
| 27 | Linear OA(1670, 93, F16, 49) (dual of [93, 23, 50]-code) | [i] | ✔ | |
| 28 | Linear OA(1671, 95, F16, 49) (dual of [95, 24, 50]-code) | [i] | ✔ | |
| 29 | Linear OA(1672, 97, F16, 49) (dual of [97, 25, 50]-code) | [i] | ✔ | |
| 30 | Linear OA(1674, 100, F16, 49) (dual of [100, 26, 50]-code) | [i] | ✔ | |
| 31 | Linear OA(1675, 102, F16, 49) (dual of [102, 27, 50]-code) | [i] | ✔ | |
| 32 | Linear OA(1677, 105, F16, 49) (dual of [105, 28, 50]-code) | [i] | ✔ | |
| 33 | Linear OA(1678, 107, F16, 49) (dual of [107, 29, 50]-code) | [i] | ✔ | |
| 34 | Linear OA(1679, 109, F16, 49) (dual of [109, 30, 50]-code) | [i] | ✔ | |
| 35 | Linear OA(1681, 112, F16, 49) (dual of [112, 31, 50]-code) | [i] | ✔ | |
| 36 | Linear OA(1683, 115, F16, 49) (dual of [115, 32, 50]-code) | [i] | ✔ | |
| 37 | Linear OA(1684, 117, F16, 49) (dual of [117, 33, 50]-code) | [i] | ✔ | |
| 38 | Linear OA(1661, 70, F16, 53) (dual of [70, 9, 54]-code) | [i] | ✔ | |
| 39 | Linear OA(1663, 72, F16, 54) (dual of [72, 9, 55]-code) | [i] | ✔ | |
| 40 | Linear OA(1665, 74, F16, 55) (dual of [74, 9, 56]-code) | [i] | ✔ | |
| 41 | Linear OA(1669, 78, F16, 58) (dual of [78, 9, 59]-code) | [i] | ✔ | |
| 42 | Linear OA(1671, 80, F16, 59) (dual of [80, 9, 60]-code) | [i] | ✔ | |
| 43 | Linear OA(1673, 82, F16, 60) (dual of [82, 9, 61]-code) | [i] | ✔ | Construction XX with a Chain of Algebraic-Geometric Codes |
| 44 | Linear OA(1672, 82, F16, 58) (dual of [82, 10, 59]-code) | [i] | ✔ | |
| 45 | Linear OA(1672, 82, F16, 59) (dual of [82, 10, 60]-code) | [i] | ✔ | |
| 46 | Linear OOA(1655, 32, F16, 2, 49) (dual of [(32, 2), 9, 50]-NRT-code) | [i] | OOA Folding | |