Information on Result #928775
Linear OOA(1639, 64, F16, 2, 33) (dual of [(64, 2), 89, 34]-NRT-code), using algebraic-geometric NRT-code AG(2;F,94P) 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(2260, 260, F2, 2, 67) (dual of [(260, 2), 260, 68]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 2 | Linear OOA(2258, 255, F2, 2, 67) (dual of [(255, 2), 252, 68]-NRT-code) | [i] | ||
| 3 | Linear OOA(2256, 250, F2, 2, 67) (dual of [(250, 2), 244, 68]-NRT-code) | [i] | ||
| 4 | Linear OOA(4196, 177, F4, 2, 67) (dual of [(177, 2), 158, 68]-NRT-code) | [i] | ||
| 5 | Linear OOA(4194, 174, F4, 2, 67) (dual of [(174, 2), 154, 68]-NRT-code) | [i] | ||
| 6 | Linear OOA(4192, 171, F4, 2, 67) (dual of [(171, 2), 150, 68]-NRT-code) | [i] | ||
| 7 | Linear OOA(4190, 168, F4, 2, 67) (dual of [(168, 2), 146, 68]-NRT-code) | [i] | ||
| 8 | Linear OOA(4188, 165, F4, 2, 67) (dual of [(165, 2), 142, 68]-NRT-code) | [i] | ||
| 9 | Linear OOA(1646, 67, F16, 2, 37) (dual of [(67, 2), 88, 38]-NRT-code) | [i] | ✔ | Construction X with Algebraic-Geometric NRT-Codes |
| 10 | Linear OOA(1642, 67, F16, 2, 33) (dual of [(67, 2), 92, 34]-NRT-code) | [i] | ✔ | |
| 11 | Linear OOA(1648, 68, F16, 2, 38) (dual of [(68, 2), 88, 39]-NRT-code) | [i] | ✔ | |
| 12 | Linear OOA(1643, 68, F16, 2, 33) (dual of [(68, 2), 93, 34]-NRT-code) | [i] | ✔ | |
| 13 | Linear OOA(1650, 69, F16, 2, 39) (dual of [(69, 2), 88, 40]-NRT-code) | [i] | ✔ | |
| 14 | Linear OOA(1644, 69, F16, 2, 33) (dual of [(69, 2), 94, 34]-NRT-code) | [i] | ✔ | |
| 15 | Linear OOA(1652, 70, F16, 2, 40) (dual of [(70, 2), 88, 41]-NRT-code) | [i] | ✔ | |
| 16 | Linear OOA(1645, 70, F16, 2, 33) (dual of [(70, 2), 95, 34]-NRT-code) | [i] | ✔ | |
| 17 | Linear OOA(1654, 71, F16, 2, 41) (dual of [(71, 2), 88, 42]-NRT-code) | [i] | ✔ | |
| 18 | Linear OOA(1646, 71, F16, 2, 33) (dual of [(71, 2), 96, 34]-NRT-code) | [i] | ✔ | |
| 19 | Linear OOA(1656, 72, F16, 2, 42) (dual of [(72, 2), 88, 43]-NRT-code) | [i] | ✔ | |
| 20 | Linear OOA(1647, 72, F16, 2, 33) (dual of [(72, 2), 97, 34]-NRT-code) | [i] | ✔ | |
| 21 | Linear OOA(1658, 73, F16, 2, 43) (dual of [(73, 2), 88, 44]-NRT-code) | [i] | ✔ | |
| 22 | Linear OOA(1648, 73, F16, 2, 33) (dual of [(73, 2), 98, 34]-NRT-code) | [i] | ✔ | |
| 23 | Linear OOA(1660, 74, F16, 2, 44) (dual of [(74, 2), 88, 45]-NRT-code) | [i] | ✔ | |
| 24 | Linear OOA(1649, 74, F16, 2, 33) (dual of [(74, 2), 99, 34]-NRT-code) | [i] | ✔ | |
| 25 | Linear OOA(1662, 75, F16, 2, 45) (dual of [(75, 2), 88, 46]-NRT-code) | [i] | ✔ | |
| 26 | Linear OOA(1650, 75, F16, 2, 33) (dual of [(75, 2), 100, 34]-NRT-code) | [i] | ✔ | |
| 27 | Linear OOA(1664, 76, F16, 2, 46) (dual of [(76, 2), 88, 47]-NRT-code) | [i] | ✔ | |
| 28 | Linear OOA(1651, 76, F16, 2, 33) (dual of [(76, 2), 101, 34]-NRT-code) | [i] | ✔ | |
| 29 | Linear OOA(1666, 77, F16, 2, 47) (dual of [(77, 2), 88, 48]-NRT-code) | [i] | ✔ | |
| 30 | Linear OOA(1652, 77, F16, 2, 33) (dual of [(77, 2), 102, 34]-NRT-code) | [i] | ✔ | |
| 31 | Linear OOA(1668, 78, F16, 2, 48) (dual of [(78, 2), 88, 49]-NRT-code) | [i] | ✔ | |
| 32 | Linear OOA(1653, 78, F16, 2, 33) (dual of [(78, 2), 103, 34]-NRT-code) | [i] | ✔ | |
| 33 | Linear OOA(1670, 79, F16, 2, 49) (dual of [(79, 2), 88, 50]-NRT-code) | [i] | ✔ | |
| 34 | Linear OOA(1654, 79, F16, 2, 33) (dual of [(79, 2), 104, 34]-NRT-code) | [i] | ✔ | |
| 35 | Linear OOA(1672, 80, F16, 2, 50) (dual of [(80, 2), 88, 51]-NRT-code) | [i] | ✔ | |
| 36 | Linear OOA(1674, 81, F16, 2, 51) (dual of [(81, 2), 88, 52]-NRT-code) | [i] | ✔ | |
| 37 | Linear OOA(1675, 82, F16, 2, 51) (dual of [(82, 2), 89, 52]-NRT-code) | [i] | ✔ | |
| 38 | Linear OOA(1677, 83, F16, 2, 52) (dual of [(83, 2), 89, 53]-NRT-code) | [i] | ✔ | |
| 39 | Linear OOA(1679, 84, F16, 2, 53) (dual of [(84, 2), 89, 54]-NRT-code) | [i] | ✔ | |
| 40 | Linear OOA(1681, 85, F16, 2, 54) (dual of [(85, 2), 89, 55]-NRT-code) | [i] | ✔ | |
| 41 | Linear OOA(1683, 86, F16, 2, 55) (dual of [(86, 2), 89, 56]-NRT-code) | [i] | ✔ | |
| 42 | Linear OOA(1685, 87, F16, 2, 56) (dual of [(87, 2), 89, 57]-NRT-code) | [i] | ✔ | |
| 43 | Linear OOA(1687, 88, F16, 2, 57) (dual of [(88, 2), 89, 58]-NRT-code) | [i] | ✔ | |
| 44 | Linear OOA(1692, 90, F16, 2, 59) (dual of [(90, 2), 88, 60]-NRT-code) | [i] | ✔ | |
| 45 | Linear OOA(1694, 91, F16, 2, 60) (dual of [(91, 2), 88, 61]-NRT-code) | [i] | ✔ | |
| 46 | Linear OOA(1696, 92, F16, 2, 61) (dual of [(92, 2), 88, 62]-NRT-code) | [i] | ✔ | |
| 47 | Linear OOA(1698, 93, F16, 2, 62) (dual of [(93, 2), 88, 63]-NRT-code) | [i] | ✔ | |
| 48 | Linear OOA(16100, 94, F16, 2, 63) (dual of [(94, 2), 88, 64]-NRT-code) | [i] | ✔ | |
| 49 | Linear OOA(16102, 95, F16, 2, 64) (dual of [(95, 2), 88, 65]-NRT-code) | [i] | ✔ | |
| 50 | Linear OOA(16104, 96, F16, 2, 65) (dual of [(96, 2), 88, 66]-NRT-code) | [i] | ✔ | |