Information on Result #928785
Linear OOA(1634, 64, F16, 2, 28) (dual of [(64, 2), 94, 29]-NRT-code), using algebraic-geometric NRT-code AG(2;F,99P) 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, 310, F2, 2, 57) (dual of [(310, 2), 360, 58]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 2 | Linear OOA(2258, 305, F2, 2, 57) (dual of [(305, 2), 352, 58]-NRT-code) | [i] | ||
| 3 | Linear OOA(2256, 300, F2, 2, 57) (dual of [(300, 2), 344, 58]-NRT-code) | [i] | ||
| 4 | Linear OOA(2254, 295, F2, 2, 57) (dual of [(295, 2), 336, 58]-NRT-code) | [i] | ||
| 5 | Linear OOA(2252, 290, F2, 2, 57) (dual of [(290, 2), 328, 58]-NRT-code) | [i] | ||
| 6 | Linear OOA(2250, 285, F2, 2, 57) (dual of [(285, 2), 320, 58]-NRT-code) | [i] | ||
| 7 | Linear OOA(2248, 280, F2, 2, 57) (dual of [(280, 2), 312, 58]-NRT-code) | [i] | ||
| 8 | Linear OOA(1641, 67, F16, 2, 32) (dual of [(67, 2), 93, 33]-NRT-code) | [i] | ✔ | Construction X with Algebraic-Geometric NRT-Codes |
| 9 | Linear OOA(1637, 67, F16, 2, 28) (dual of [(67, 2), 97, 29]-NRT-code) | [i] | ✔ | |
| 10 | Linear OOA(1643, 68, F16, 2, 33) (dual of [(68, 2), 93, 34]-NRT-code) | [i] | ✔ | |
| 11 | Linear OOA(1638, 68, F16, 2, 28) (dual of [(68, 2), 98, 29]-NRT-code) | [i] | ✔ | |
| 12 | Linear OOA(1645, 69, F16, 2, 34) (dual of [(69, 2), 93, 35]-NRT-code) | [i] | ✔ | |
| 13 | Linear OOA(1639, 69, F16, 2, 28) (dual of [(69, 2), 99, 29]-NRT-code) | [i] | ✔ | |
| 14 | Linear OOA(1647, 70, F16, 2, 35) (dual of [(70, 2), 93, 36]-NRT-code) | [i] | ✔ | |
| 15 | Linear OOA(1640, 70, F16, 2, 28) (dual of [(70, 2), 100, 29]-NRT-code) | [i] | ✔ | |
| 16 | Linear OOA(1649, 71, F16, 2, 36) (dual of [(71, 2), 93, 37]-NRT-code) | [i] | ✔ | |
| 17 | Linear OOA(1641, 71, F16, 2, 28) (dual of [(71, 2), 101, 29]-NRT-code) | [i] | ✔ | |
| 18 | Linear OOA(1651, 72, F16, 2, 37) (dual of [(72, 2), 93, 38]-NRT-code) | [i] | ✔ | |
| 19 | Linear OOA(1642, 72, F16, 2, 28) (dual of [(72, 2), 102, 29]-NRT-code) | [i] | ✔ | |
| 20 | Linear OOA(1653, 73, F16, 2, 38) (dual of [(73, 2), 93, 39]-NRT-code) | [i] | ✔ | |
| 21 | Linear OOA(1643, 73, F16, 2, 28) (dual of [(73, 2), 103, 29]-NRT-code) | [i] | ✔ | |
| 22 | Linear OOA(1655, 74, F16, 2, 39) (dual of [(74, 2), 93, 40]-NRT-code) | [i] | ✔ | |
| 23 | Linear OOA(1644, 74, F16, 2, 28) (dual of [(74, 2), 104, 29]-NRT-code) | [i] | ✔ | |
| 24 | Linear OOA(1657, 75, F16, 2, 40) (dual of [(75, 2), 93, 41]-NRT-code) | [i] | ✔ | |
| 25 | Linear OOA(1645, 75, F16, 2, 28) (dual of [(75, 2), 105, 29]-NRT-code) | [i] | ✔ | |
| 26 | Linear OOA(1659, 76, F16, 2, 41) (dual of [(76, 2), 93, 42]-NRT-code) | [i] | ✔ | |
| 27 | Linear OOA(1646, 76, F16, 2, 28) (dual of [(76, 2), 106, 29]-NRT-code) | [i] | ✔ | |
| 28 | Linear OOA(1661, 77, F16, 2, 42) (dual of [(77, 2), 93, 43]-NRT-code) | [i] | ✔ | |
| 29 | Linear OOA(1647, 77, F16, 2, 28) (dual of [(77, 2), 107, 29]-NRT-code) | [i] | ✔ | |
| 30 | Linear OOA(1663, 78, F16, 2, 43) (dual of [(78, 2), 93, 44]-NRT-code) | [i] | ✔ | |
| 31 | Linear OOA(1665, 79, F16, 2, 44) (dual of [(79, 2), 93, 45]-NRT-code) | [i] | ✔ | |
| 32 | Linear OOA(1667, 80, F16, 2, 45) (dual of [(80, 2), 93, 46]-NRT-code) | [i] | ✔ | |
| 33 | Linear OOA(1669, 81, F16, 2, 46) (dual of [(81, 2), 93, 47]-NRT-code) | [i] | ✔ | |
| 34 | Linear OOA(1670, 82, F16, 2, 46) (dual of [(82, 2), 94, 47]-NRT-code) | [i] | ✔ | |
| 35 | Linear OOA(1672, 83, F16, 2, 47) (dual of [(83, 2), 94, 48]-NRT-code) | [i] | ✔ | |
| 36 | Linear OOA(1674, 84, F16, 2, 48) (dual of [(84, 2), 94, 49]-NRT-code) | [i] | ✔ | |
| 37 | Linear OOA(1676, 85, F16, 2, 49) (dual of [(85, 2), 94, 50]-NRT-code) | [i] | ✔ | |
| 38 | Linear OOA(1678, 86, F16, 2, 50) (dual of [(86, 2), 94, 51]-NRT-code) | [i] | ✔ | |
| 39 | Linear OOA(1680, 87, F16, 2, 51) (dual of [(87, 2), 94, 52]-NRT-code) | [i] | ✔ | |
| 40 | Linear OOA(1682, 88, F16, 2, 52) (dual of [(88, 2), 94, 53]-NRT-code) | [i] | ✔ | |
| 41 | Linear OOA(1687, 90, F16, 2, 54) (dual of [(90, 2), 93, 55]-NRT-code) | [i] | ✔ | |
| 42 | Linear OOA(1689, 91, F16, 2, 55) (dual of [(91, 2), 93, 56]-NRT-code) | [i] | ✔ | |
| 43 | Linear OOA(1691, 92, F16, 2, 56) (dual of [(92, 2), 93, 57]-NRT-code) | [i] | ✔ | |