Information on Result #928777
Linear OOA(1638, 64, F16, 2, 32) (dual of [(64, 2), 90, 33]-NRT-code), using algebraic-geometric NRT-code AG(2;F,95P) 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, 270, F2, 2, 65) (dual of [(270, 2), 280, 66]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 2 | Linear OOA(2258, 265, F2, 2, 65) (dual of [(265, 2), 272, 66]-NRT-code) | [i] | ||
| 3 | Linear OOA(2256, 260, F2, 2, 65) (dual of [(260, 2), 264, 66]-NRT-code) | [i] | ||
| 4 | Linear OOA(2254, 255, F2, 2, 65) (dual of [(255, 2), 256, 66]-NRT-code) | [i] | ||
| 5 | Linear OOA(2252, 250, F2, 2, 65) (dual of [(250, 2), 248, 66]-NRT-code) | [i] | ||
| 6 | Linear OOA(4190, 171, F4, 2, 65) (dual of [(171, 2), 152, 66]-NRT-code) | [i] | ||
| 7 | Linear OOA(4188, 168, F4, 2, 65) (dual of [(168, 2), 148, 66]-NRT-code) | [i] | ||
| 8 | Linear OOA(1645, 67, F16, 2, 36) (dual of [(67, 2), 89, 37]-NRT-code) | [i] | ✔ | Construction X with Algebraic-Geometric NRT-Codes |
| 9 | Linear OOA(1641, 67, F16, 2, 32) (dual of [(67, 2), 93, 33]-NRT-code) | [i] | ✔ | |
| 10 | Linear OOA(1647, 68, F16, 2, 37) (dual of [(68, 2), 89, 38]-NRT-code) | [i] | ✔ | |
| 11 | Linear OOA(1642, 68, F16, 2, 32) (dual of [(68, 2), 94, 33]-NRT-code) | [i] | ✔ | |
| 12 | Linear OOA(1649, 69, F16, 2, 38) (dual of [(69, 2), 89, 39]-NRT-code) | [i] | ✔ | |
| 13 | Linear OOA(1643, 69, F16, 2, 32) (dual of [(69, 2), 95, 33]-NRT-code) | [i] | ✔ | |
| 14 | Linear OOA(1651, 70, F16, 2, 39) (dual of [(70, 2), 89, 40]-NRT-code) | [i] | ✔ | |
| 15 | Linear OOA(1644, 70, F16, 2, 32) (dual of [(70, 2), 96, 33]-NRT-code) | [i] | ✔ | |
| 16 | Linear OOA(1653, 71, F16, 2, 40) (dual of [(71, 2), 89, 41]-NRT-code) | [i] | ✔ | |
| 17 | Linear OOA(1645, 71, F16, 2, 32) (dual of [(71, 2), 97, 33]-NRT-code) | [i] | ✔ | |
| 18 | Linear OOA(1655, 72, F16, 2, 41) (dual of [(72, 2), 89, 42]-NRT-code) | [i] | ✔ | |
| 19 | Linear OOA(1646, 72, F16, 2, 32) (dual of [(72, 2), 98, 33]-NRT-code) | [i] | ✔ | |
| 20 | Linear OOA(1657, 73, F16, 2, 42) (dual of [(73, 2), 89, 43]-NRT-code) | [i] | ✔ | |
| 21 | Linear OOA(1647, 73, F16, 2, 32) (dual of [(73, 2), 99, 33]-NRT-code) | [i] | ✔ | |
| 22 | Linear OOA(1659, 74, F16, 2, 43) (dual of [(74, 2), 89, 44]-NRT-code) | [i] | ✔ | |
| 23 | Linear OOA(1648, 74, F16, 2, 32) (dual of [(74, 2), 100, 33]-NRT-code) | [i] | ✔ | |
| 24 | Linear OOA(1661, 75, F16, 2, 44) (dual of [(75, 2), 89, 45]-NRT-code) | [i] | ✔ | |
| 25 | Linear OOA(1649, 75, F16, 2, 32) (dual of [(75, 2), 101, 33]-NRT-code) | [i] | ✔ | |
| 26 | Linear OOA(1663, 76, F16, 2, 45) (dual of [(76, 2), 89, 46]-NRT-code) | [i] | ✔ | |
| 27 | Linear OOA(1650, 76, F16, 2, 32) (dual of [(76, 2), 102, 33]-NRT-code) | [i] | ✔ | |
| 28 | Linear OOA(1665, 77, F16, 2, 46) (dual of [(77, 2), 89, 47]-NRT-code) | [i] | ✔ | |
| 29 | Linear OOA(1651, 77, F16, 2, 32) (dual of [(77, 2), 103, 33]-NRT-code) | [i] | ✔ | |
| 30 | Linear OOA(1667, 78, F16, 2, 47) (dual of [(78, 2), 89, 48]-NRT-code) | [i] | ✔ | |
| 31 | Linear OOA(1652, 78, F16, 2, 32) (dual of [(78, 2), 104, 33]-NRT-code) | [i] | ✔ | |
| 32 | Linear OOA(1669, 79, F16, 2, 48) (dual of [(79, 2), 89, 49]-NRT-code) | [i] | ✔ | |
| 33 | Linear OOA(1653, 79, F16, 2, 32) (dual of [(79, 2), 105, 33]-NRT-code) | [i] | ✔ | |
| 34 | Linear OOA(1671, 80, F16, 2, 49) (dual of [(80, 2), 89, 50]-NRT-code) | [i] | ✔ | |
| 35 | Linear OOA(1673, 81, F16, 2, 50) (dual of [(81, 2), 89, 51]-NRT-code) | [i] | ✔ | |
| 36 | Linear OOA(1674, 82, F16, 2, 50) (dual of [(82, 2), 90, 51]-NRT-code) | [i] | ✔ | |
| 37 | Linear OOA(1676, 83, F16, 2, 51) (dual of [(83, 2), 90, 52]-NRT-code) | [i] | ✔ | |
| 38 | Linear OOA(1678, 84, F16, 2, 52) (dual of [(84, 2), 90, 53]-NRT-code) | [i] | ✔ | |
| 39 | Linear OOA(1680, 85, F16, 2, 53) (dual of [(85, 2), 90, 54]-NRT-code) | [i] | ✔ | |
| 40 | Linear OOA(1682, 86, F16, 2, 54) (dual of [(86, 2), 90, 55]-NRT-code) | [i] | ✔ | |
| 41 | Linear OOA(1684, 87, F16, 2, 55) (dual of [(87, 2), 90, 56]-NRT-code) | [i] | ✔ | |
| 42 | Linear OOA(1686, 88, F16, 2, 56) (dual of [(88, 2), 90, 57]-NRT-code) | [i] | ✔ | |
| 43 | Linear OOA(1691, 90, F16, 2, 58) (dual of [(90, 2), 89, 59]-NRT-code) | [i] | ✔ | |
| 44 | Linear OOA(1693, 91, F16, 2, 59) (dual of [(91, 2), 89, 60]-NRT-code) | [i] | ✔ | |
| 45 | Linear OOA(1695, 92, F16, 2, 60) (dual of [(92, 2), 89, 61]-NRT-code) | [i] | ✔ | |
| 46 | Linear OOA(1697, 93, F16, 2, 61) (dual of [(93, 2), 89, 62]-NRT-code) | [i] | ✔ | |
| 47 | Linear OOA(1699, 94, F16, 2, 62) (dual of [(94, 2), 89, 63]-NRT-code) | [i] | ✔ | |
| 48 | Linear OOA(16101, 95, F16, 2, 63) (dual of [(95, 2), 89, 64]-NRT-code) | [i] | ✔ | |
| 49 | Linear OOA(16103, 96, F16, 2, 64) (dual of [(96, 2), 89, 65]-NRT-code) | [i] | ✔ | |