Information on Result #928787
Linear OOA(1633, 64, F16, 2, 27) (dual of [(64, 2), 95, 28]-NRT-code), using algebraic-geometric NRT-code AG(2;F,100P) 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, 320, F2, 2, 55) (dual of [(320, 2), 380, 56]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
2 | Linear OOA(2258, 315, F2, 2, 55) (dual of [(315, 2), 372, 56]-NRT-code) | [i] | ||
3 | Linear OOA(2256, 310, F2, 2, 55) (dual of [(310, 2), 364, 56]-NRT-code) | [i] | ||
4 | Linear OOA(2254, 305, F2, 2, 55) (dual of [(305, 2), 356, 56]-NRT-code) | [i] | ||
5 | Linear OOA(2252, 300, F2, 2, 55) (dual of [(300, 2), 348, 56]-NRT-code) | [i] | ||
6 | Linear OOA(2250, 295, F2, 2, 55) (dual of [(295, 2), 340, 56]-NRT-code) | [i] | ||
7 | Linear OOA(2248, 290, F2, 2, 55) (dual of [(290, 2), 332, 56]-NRT-code) | [i] | ||
8 | Linear OOA(2246, 285, F2, 2, 55) (dual of [(285, 2), 324, 56]-NRT-code) | [i] | ||
9 | Linear OOA(1640, 67, F16, 2, 31) (dual of [(67, 2), 94, 32]-NRT-code) | [i] | ✔ | Construction X with Algebraic-Geometric NRT-Codes |
10 | Linear OOA(1636, 67, F16, 2, 27) (dual of [(67, 2), 98, 28]-NRT-code) | [i] | ✔ | |
11 | Linear OOA(1642, 68, F16, 2, 32) (dual of [(68, 2), 94, 33]-NRT-code) | [i] | ✔ | |
12 | Linear OOA(1637, 68, F16, 2, 27) (dual of [(68, 2), 99, 28]-NRT-code) | [i] | ✔ | |
13 | Linear OOA(1644, 69, F16, 2, 33) (dual of [(69, 2), 94, 34]-NRT-code) | [i] | ✔ | |
14 | Linear OOA(1638, 69, F16, 2, 27) (dual of [(69, 2), 100, 28]-NRT-code) | [i] | ✔ | |
15 | Linear OOA(1646, 70, F16, 2, 34) (dual of [(70, 2), 94, 35]-NRT-code) | [i] | ✔ | |
16 | Linear OOA(1639, 70, F16, 2, 27) (dual of [(70, 2), 101, 28]-NRT-code) | [i] | ✔ | |
17 | Linear OOA(1648, 71, F16, 2, 35) (dual of [(71, 2), 94, 36]-NRT-code) | [i] | ✔ | |
18 | Linear OOA(1640, 71, F16, 2, 27) (dual of [(71, 2), 102, 28]-NRT-code) | [i] | ✔ | |
19 | Linear OOA(1650, 72, F16, 2, 36) (dual of [(72, 2), 94, 37]-NRT-code) | [i] | ✔ | |
20 | Linear OOA(1641, 72, F16, 2, 27) (dual of [(72, 2), 103, 28]-NRT-code) | [i] | ✔ | |
21 | Linear OOA(1652, 73, F16, 2, 37) (dual of [(73, 2), 94, 38]-NRT-code) | [i] | ✔ | |
22 | Linear OOA(1642, 73, F16, 2, 27) (dual of [(73, 2), 104, 28]-NRT-code) | [i] | ✔ | |
23 | Linear OOA(1654, 74, F16, 2, 38) (dual of [(74, 2), 94, 39]-NRT-code) | [i] | ✔ | |
24 | Linear OOA(1643, 74, F16, 2, 27) (dual of [(74, 2), 105, 28]-NRT-code) | [i] | ✔ | |
25 | Linear OOA(1656, 75, F16, 2, 39) (dual of [(75, 2), 94, 40]-NRT-code) | [i] | ✔ | |
26 | Linear OOA(1644, 75, F16, 2, 27) (dual of [(75, 2), 106, 28]-NRT-code) | [i] | ✔ | |
27 | Linear OOA(1658, 76, F16, 2, 40) (dual of [(76, 2), 94, 41]-NRT-code) | [i] | ✔ | |
28 | Linear OOA(1645, 76, F16, 2, 27) (dual of [(76, 2), 107, 28]-NRT-code) | [i] | ✔ | |
29 | Linear OOA(1660, 77, F16, 2, 41) (dual of [(77, 2), 94, 42]-NRT-code) | [i] | ✔ | |
30 | Linear OOA(1662, 78, F16, 2, 42) (dual of [(78, 2), 94, 43]-NRT-code) | [i] | ✔ | |
31 | Linear OOA(1664, 79, F16, 2, 43) (dual of [(79, 2), 94, 44]-NRT-code) | [i] | ✔ | |
32 | Linear OOA(1666, 80, F16, 2, 44) (dual of [(80, 2), 94, 45]-NRT-code) | [i] | ✔ | |
33 | Linear OOA(1668, 81, F16, 2, 45) (dual of [(81, 2), 94, 46]-NRT-code) | [i] | ✔ | |
34 | Linear OOA(1669, 82, F16, 2, 45) (dual of [(82, 2), 95, 46]-NRT-code) | [i] | ✔ | |
35 | Linear OOA(1671, 83, F16, 2, 46) (dual of [(83, 2), 95, 47]-NRT-code) | [i] | ✔ | |
36 | Linear OOA(1673, 84, F16, 2, 47) (dual of [(84, 2), 95, 48]-NRT-code) | [i] | ✔ | |
37 | Linear OOA(1675, 85, F16, 2, 48) (dual of [(85, 2), 95, 49]-NRT-code) | [i] | ✔ | |
38 | Linear OOA(1677, 86, F16, 2, 49) (dual of [(86, 2), 95, 50]-NRT-code) | [i] | ✔ | |
39 | Linear OOA(1679, 87, F16, 2, 50) (dual of [(87, 2), 95, 51]-NRT-code) | [i] | ✔ | |
40 | Linear OOA(1681, 88, F16, 2, 51) (dual of [(88, 2), 95, 52]-NRT-code) | [i] | ✔ | |
41 | Linear OOA(1686, 90, F16, 2, 53) (dual of [(90, 2), 94, 54]-NRT-code) | [i] | ✔ | |
42 | Linear OOA(1688, 91, F16, 2, 54) (dual of [(91, 2), 94, 55]-NRT-code) | [i] | ✔ |