Information on Result #644726
Linear OA(1652, 64, F16, 46) (dual of [64, 12, 47]-code), using algebraic-geometric code AG(F,17P) 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(16116, 128, F16, 93) (dual of [128, 12, 94]-code) | [i] | Repeating Each Code Word | |
| 2 | Linear OA(16115, 126, F16, 93) (dual of [126, 11, 94]-code) | [i] | ||
| 3 | Linear OA(16114, 124, F16, 93) (dual of [124, 10, 94]-code) | [i] | ||
| 4 | Linear OA(16113, 122, F16, 93) (dual of [122, 9, 94]-code) | [i] | ||
| 5 | Linear OA(16112, 120, F16, 93) (dual of [120, 8, 94]-code) | [i] | ||
| 6 | Linear OA(16111, 118, F16, 93) (dual of [118, 7, 94]-code) | [i] | ||
| 7 | Linear OA(16128, 140, F16, 100) (dual of [140, 12, 101]-code) | [i] | Juxtaposition | |
| 8 | Linear OA(16130, 141, F16, 102) (dual of [141, 11, 103]-code) | [i] | ||
| 9 | Linear OA(4168, 192, F4, 93) (dual of [192, 24, 94]-code) | [i] | Concatenation of Two Codes | |
| 10 | Linear OA(4167, 189, F4, 93) (dual of [189, 22, 94]-code) | [i] | ||
| 11 | Linear OA(4166, 186, F4, 93) (dual of [186, 20, 94]-code) | [i] | ||
| 12 | Linear OA(4165, 183, F4, 93) (dual of [183, 18, 94]-code) | [i] | ||
| 13 | Linear OA(4232, 256, F4, 140) (dual of [256, 24, 141]-code) | [i] | ||
| 14 | Linear OA(4230, 252, F4, 140) (dual of [252, 22, 141]-code) | [i] | ||
| 15 | Linear OA(4228, 248, F4, 140) (dual of [248, 20, 141]-code) | [i] | ||
| 16 | Linear OA(4226, 244, F4, 140) (dual of [244, 18, 141]-code) | [i] | ||
| 17 | Linear OA(1655, 67, F16, 48) (dual of [67, 12, 49]-code) | [i] | ✔ | Construction X with Algebraic-Geometric Codes |
| 18 | Linear OA(1653, 67, F16, 46) (dual of [67, 14, 47]-code) | [i] | ✔ | |
| 19 | Linear OA(1657, 69, F16, 49) (dual of [69, 12, 50]-code) | [i] | ✔ | |
| 20 | Linear OA(1654, 69, F16, 46) (dual of [69, 15, 47]-code) | [i] | ✔ | |
| 21 | Linear OA(1659, 71, F16, 50) (dual of [71, 12, 51]-code) | [i] | ✔ | |
| 22 | Linear OA(1655, 71, F16, 46) (dual of [71, 16, 47]-code) | [i] | ✔ | |
| 23 | Linear OA(1661, 73, F16, 51) (dual of [73, 12, 52]-code) | [i] | ✔ | |
| 24 | Linear OA(1656, 73, F16, 46) (dual of [73, 17, 47]-code) | [i] | ✔ | |
| 25 | Linear OA(1663, 75, F16, 52) (dual of [75, 12, 53]-code) | [i] | ✔ | |
| 26 | Linear OA(1657, 75, F16, 46) (dual of [75, 18, 47]-code) | [i] | ✔ | |
| 27 | Linear OA(1665, 77, F16, 53) (dual of [77, 12, 54]-code) | [i] | ✔ | |
| 28 | Linear OA(1658, 77, F16, 46) (dual of [77, 19, 47]-code) | [i] | ✔ | |
| 29 | Linear OA(1667, 79, F16, 54) (dual of [79, 12, 55]-code) | [i] | ✔ | |
| 30 | Linear OA(1659, 79, F16, 46) (dual of [79, 20, 47]-code) | [i] | ✔ | |
| 31 | Linear OA(1669, 81, F16, 55) (dual of [81, 12, 56]-code) | [i] | ✔ | |
| 32 | Linear OA(1660, 81, F16, 46) (dual of [81, 21, 47]-code) | [i] | ✔ | |
| 33 | Linear OA(1662, 84, F16, 46) (dual of [84, 22, 47]-code) | [i] | ✔ | |
| 34 | Linear OA(1681, 93, F16, 63) (dual of [93, 12, 64]-code) | [i] | ✔ | |
| 35 | Linear OA(1676, 88, F16, 59) (dual of [88, 12, 60]-code) | [i] | ✔ | |
| 36 | Linear OA(1663, 86, F16, 46) (dual of [86, 23, 47]-code) | [i] | ✔ | |
| 37 | Linear OA(1664, 88, F16, 46) (dual of [88, 24, 47]-code) | [i] | ✔ | |
| 38 | Linear OA(1666, 91, F16, 46) (dual of [91, 25, 47]-code) | [i] | ✔ | |
| 39 | Linear OA(1667, 93, F16, 46) (dual of [93, 26, 47]-code) | [i] | ✔ | |
| 40 | Linear OA(1668, 95, F16, 46) (dual of [95, 27, 47]-code) | [i] | ✔ | |
| 41 | Linear OA(1669, 97, F16, 46) (dual of [97, 28, 47]-code) | [i] | ✔ | |
| 42 | Linear OA(1671, 100, F16, 46) (dual of [100, 29, 47]-code) | [i] | ✔ | |
| 43 | Linear OA(1672, 102, F16, 46) (dual of [102, 30, 47]-code) | [i] | ✔ | |
| 44 | Linear OA(1674, 105, F16, 46) (dual of [105, 31, 47]-code) | [i] | ✔ | |
| 45 | Linear OA(1675, 107, F16, 46) (dual of [107, 32, 47]-code) | [i] | ✔ | |
| 46 | Linear OA(1676, 109, F16, 46) (dual of [109, 33, 47]-code) | [i] | ✔ | |
| 47 | Linear OA(1678, 112, F16, 46) (dual of [112, 34, 47]-code) | [i] | ✔ | |
| 48 | Linear OA(1680, 115, F16, 46) (dual of [115, 35, 47]-code) | [i] | ✔ | |
| 49 | Linear OA(1681, 117, F16, 46) (dual of [117, 36, 47]-code) | [i] | ✔ | |
| 50 | Linear OA(1664, 76, F16, 53) (dual of [76, 12, 54]-code) | [i] | ✔ | |
| 51 | Linear OA(1666, 78, F16, 54) (dual of [78, 12, 55]-code) | [i] | ✔ | |
| 52 | Linear OA(1668, 80, F16, 55) (dual of [80, 12, 56]-code) | [i] | ✔ | |
| 53 | Linear OA(1673, 85, F16, 58) (dual of [85, 12, 59]-code) | [i] | ✔ | |
| 54 | Linear OA(1675, 87, F16, 59) (dual of [87, 12, 60]-code) | [i] | ✔ | |
| 55 | Linear OA(1677, 89, F16, 60) (dual of [89, 12, 61]-code) | [i] | ✔ | Construction XX with a Chain of Algebraic-Geometric Codes |
| 56 | Linear OA(1676, 89, F16, 58) (dual of [89, 13, 59]-code) | [i] | ✔ | |
| 57 | Linear OA(1676, 89, F16, 59) (dual of [89, 13, 60]-code) | [i] | ✔ | |
| 58 | Linear OA(1670, 82, F16, 56) (dual of [82, 12, 57]-code) | [i] | ✔ | |
| 59 | Linear OA(1669, 82, F16, 55) (dual of [82, 13, 56]-code) | [i] | ✔ | |
| 60 | Linear OOA(1652, 32, F16, 2, 46) (dual of [(32, 2), 12, 47]-NRT-code) | [i] | OOA Folding | |