Information on Result #928725
Linear OOA(1664, 64, F16, 2, 58) (dual of [(64, 2), 64, 59]-NRT-code), using algebraic-geometric NRT-code AG(2;F,69P) 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 OOA(4256, 192, F4, 2, 117) (dual of [(192, 2), 128, 118]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 2 | Linear OOA(4254, 189, F4, 2, 117) (dual of [(189, 2), 124, 118]-NRT-code) | [i] | ||
| 3 | Linear OOA(4252, 186, F4, 2, 117) (dual of [(186, 2), 120, 118]-NRT-code) | [i] | ||
| 4 | Linear OOA(4250, 183, F4, 2, 117) (dual of [(183, 2), 116, 118]-NRT-code) | [i] | ||
| 5 | Linear OOA(4248, 180, F4, 2, 117) (dual of [(180, 2), 112, 118]-NRT-code) | [i] | ||
| 6 | Linear OOA(4246, 177, F4, 2, 117) (dual of [(177, 2), 108, 118]-NRT-code) | [i] | ||
| 7 | Linear OOA(4244, 174, F4, 2, 117) (dual of [(174, 2), 104, 118]-NRT-code) | [i] | ||
| 8 | Linear OOA(4242, 171, F4, 2, 117) (dual of [(171, 2), 100, 118]-NRT-code) | [i] | ||
| 9 | Linear OOA(4240, 168, F4, 2, 117) (dual of [(168, 2), 96, 118]-NRT-code) | [i] | ||
| 10 | Linear OOA(4238, 165, F4, 2, 117) (dual of [(165, 2), 92, 118]-NRT-code) | [i] | ||
| 11 | Linear OOA(4236, 162, F4, 2, 117) (dual of [(162, 2), 88, 118]-NRT-code) | [i] | ||
| 12 | Linear OOA(4234, 159, F4, 2, 117) (dual of [(159, 2), 84, 118]-NRT-code) | [i] | ||
| 13 | Linear OOA(4232, 156, F4, 2, 117) (dual of [(156, 2), 80, 118]-NRT-code) | [i] | ||
| 14 | Linear OOA(4230, 153, F4, 2, 117) (dual of [(153, 2), 76, 118]-NRT-code) | [i] | ||
| 15 | Linear OOA(4228, 150, F4, 2, 117) (dual of [(150, 2), 72, 118]-NRT-code) | [i] | ||
| 16 | Linear OOA(1671, 67, F16, 2, 62) (dual of [(67, 2), 63, 63]-NRT-code) | [i] | ✔ | Construction X with Algebraic-Geometric NRT-Codes |
| 17 | Linear OOA(1667, 67, F16, 2, 58) (dual of [(67, 2), 67, 59]-NRT-code) | [i] | ✔ | |
| 18 | Linear OOA(1673, 68, F16, 2, 63) (dual of [(68, 2), 63, 64]-NRT-code) | [i] | ✔ | |
| 19 | Linear OOA(1668, 68, F16, 2, 58) (dual of [(68, 2), 68, 59]-NRT-code) | [i] | ✔ | |
| 20 | Linear OOA(1675, 69, F16, 2, 64) (dual of [(69, 2), 63, 65]-NRT-code) | [i] | ✔ | |
| 21 | Linear OOA(1669, 69, F16, 2, 58) (dual of [(69, 2), 69, 59]-NRT-code) | [i] | ✔ | |
| 22 | Linear OOA(1677, 70, F16, 2, 65) (dual of [(70, 2), 63, 66]-NRT-code) | [i] | ✔ | |
| 23 | Linear OOA(1670, 70, F16, 2, 58) (dual of [(70, 2), 70, 59]-NRT-code) | [i] | ✔ | |
| 24 | Linear OOA(1679, 71, F16, 2, 66) (dual of [(71, 2), 63, 67]-NRT-code) | [i] | ✔ | |
| 25 | Linear OOA(1671, 71, F16, 2, 58) (dual of [(71, 2), 71, 59]-NRT-code) | [i] | ✔ | |
| 26 | Linear OOA(1681, 72, F16, 2, 67) (dual of [(72, 2), 63, 68]-NRT-code) | [i] | ✔ | |
| 27 | Linear OOA(1672, 72, F16, 2, 58) (dual of [(72, 2), 72, 59]-NRT-code) | [i] | ✔ | |
| 28 | Linear OOA(1683, 73, F16, 2, 68) (dual of [(73, 2), 63, 69]-NRT-code) | [i] | ✔ | |
| 29 | Linear OOA(1673, 73, F16, 2, 58) (dual of [(73, 2), 73, 59]-NRT-code) | [i] | ✔ | |
| 30 | Linear OOA(1685, 74, F16, 2, 69) (dual of [(74, 2), 63, 70]-NRT-code) | [i] | ✔ | |
| 31 | Linear OOA(1674, 74, F16, 2, 58) (dual of [(74, 2), 74, 59]-NRT-code) | [i] | ✔ | |
| 32 | Linear OOA(1687, 75, F16, 2, 70) (dual of [(75, 2), 63, 71]-NRT-code) | [i] | ✔ | |
| 33 | Linear OOA(1675, 75, F16, 2, 58) (dual of [(75, 2), 75, 59]-NRT-code) | [i] | ✔ | |
| 34 | Linear OOA(1689, 76, F16, 2, 71) (dual of [(76, 2), 63, 72]-NRT-code) | [i] | ✔ | |
| 35 | Linear OOA(1676, 76, F16, 2, 58) (dual of [(76, 2), 76, 59]-NRT-code) | [i] | ✔ | |
| 36 | Linear OOA(1691, 77, F16, 2, 72) (dual of [(77, 2), 63, 73]-NRT-code) | [i] | ✔ | |
| 37 | Linear OOA(1677, 77, F16, 2, 58) (dual of [(77, 2), 77, 59]-NRT-code) | [i] | ✔ | |
| 38 | Linear OOA(1693, 78, F16, 2, 73) (dual of [(78, 2), 63, 74]-NRT-code) | [i] | ✔ | |
| 39 | Linear OOA(1678, 78, F16, 2, 58) (dual of [(78, 2), 78, 59]-NRT-code) | [i] | ✔ | |
| 40 | Linear OOA(1695, 79, F16, 2, 74) (dual of [(79, 2), 63, 75]-NRT-code) | [i] | ✔ | |
| 41 | Linear OOA(1679, 79, F16, 2, 58) (dual of [(79, 2), 79, 59]-NRT-code) | [i] | ✔ | |
| 42 | Linear OOA(1697, 80, F16, 2, 75) (dual of [(80, 2), 63, 76]-NRT-code) | [i] | ✔ | |
| 43 | Linear OOA(1680, 80, F16, 2, 58) (dual of [(80, 2), 80, 59]-NRT-code) | [i] | ✔ | |
| 44 | Linear OOA(1699, 81, F16, 2, 76) (dual of [(81, 2), 63, 77]-NRT-code) | [i] | ✔ | |
| 45 | Linear OOA(16100, 82, F16, 2, 76) (dual of [(82, 2), 64, 77]-NRT-code) | [i] | ✔ | |
| 46 | Linear OOA(1681, 81, F16, 2, 58) (dual of [(81, 2), 81, 59]-NRT-code) | [i] | ✔ | |
| 47 | Linear OOA(1682, 82, F16, 2, 58) (dual of [(82, 2), 82, 59]-NRT-code) | [i] | ✔ | |
| 48 | Linear OOA(16102, 83, F16, 2, 77) (dual of [(83, 2), 64, 78]-NRT-code) | [i] | ✔ | |
| 49 | Linear OOA(1683, 83, F16, 2, 58) (dual of [(83, 2), 83, 59]-NRT-code) | [i] | ✔ | |
| 50 | Linear OOA(16104, 84, F16, 2, 78) (dual of [(84, 2), 64, 79]-NRT-code) | [i] | ✔ | |
| 51 | Linear OOA(1684, 84, F16, 2, 58) (dual of [(84, 2), 84, 59]-NRT-code) | [i] | ✔ | |
| 52 | Linear OOA(16106, 85, F16, 2, 79) (dual of [(85, 2), 64, 80]-NRT-code) | [i] | ✔ | |
| 53 | Linear OOA(1685, 85, F16, 2, 58) (dual of [(85, 2), 85, 59]-NRT-code) | [i] | ✔ | |
| 54 | Linear OOA(16108, 86, F16, 2, 80) (dual of [(86, 2), 64, 81]-NRT-code) | [i] | ✔ | |
| 55 | Linear OOA(1686, 86, F16, 2, 58) (dual of [(86, 2), 86, 59]-NRT-code) | [i] | ✔ | |
| 56 | Linear OOA(16110, 87, F16, 2, 81) (dual of [(87, 2), 64, 82]-NRT-code) | [i] | ✔ | |
| 57 | Linear OOA(1687, 87, F16, 2, 58) (dual of [(87, 2), 87, 59]-NRT-code) | [i] | ✔ | |
| 58 | Linear OOA(16112, 88, F16, 2, 82) (dual of [(88, 2), 64, 83]-NRT-code) | [i] | ✔ | |
| 59 | Linear OOA(1688, 88, F16, 2, 58) (dual of [(88, 2), 88, 59]-NRT-code) | [i] | ✔ | |
| 60 | Linear OOA(16117, 90, F16, 2, 84) (dual of [(90, 2), 63, 85]-NRT-code) | [i] | ✔ | |
| 61 | Linear OOA(1691, 90, F16, 2, 58) (dual of [(90, 2), 89, 59]-NRT-code) | [i] | ✔ | |
| 62 | Linear OOA(16119, 91, F16, 2, 85) (dual of [(91, 2), 63, 86]-NRT-code) | [i] | ✔ | |
| 63 | Linear OOA(1692, 91, F16, 2, 58) (dual of [(91, 2), 90, 59]-NRT-code) | [i] | ✔ | |
| 64 | Linear OOA(16121, 92, F16, 2, 86) (dual of [(92, 2), 63, 87]-NRT-code) | [i] | ✔ | |
| 65 | Linear OOA(1693, 92, F16, 2, 58) (dual of [(92, 2), 91, 59]-NRT-code) | [i] | ✔ | |
| 66 | Linear OOA(16123, 93, F16, 2, 87) (dual of [(93, 2), 63, 88]-NRT-code) | [i] | ✔ | |
| 67 | Linear OOA(1694, 93, F16, 2, 58) (dual of [(93, 2), 92, 59]-NRT-code) | [i] | ✔ | |
| 68 | Linear OOA(16125, 94, F16, 2, 88) (dual of [(94, 2), 63, 89]-NRT-code) | [i] | ✔ | |
| 69 | Linear OOA(16127, 95, F16, 2, 89) (dual of [(95, 2), 63, 90]-NRT-code) | [i] | ✔ | |
| 70 | Linear OOA(16129, 96, F16, 2, 90) (dual of [(96, 2), 63, 91]-NRT-code) | [i] | ✔ | |