Information on Result #928783
Linear OOA(1635, 64, F16, 2, 29) (dual of [(64, 2), 93, 30]-NRT-code), using algebraic-geometric NRT-code AG(2;F,98P) 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, 300, F2, 2, 59) (dual of [(300, 2), 340, 60]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
2 | Linear OOA(2258, 295, F2, 2, 59) (dual of [(295, 2), 332, 60]-NRT-code) | [i] | ||
3 | Linear OOA(2256, 290, F2, 2, 59) (dual of [(290, 2), 324, 60]-NRT-code) | [i] | ||
4 | Linear OOA(2254, 285, F2, 2, 59) (dual of [(285, 2), 316, 60]-NRT-code) | [i] | ||
5 | Linear OOA(2252, 280, F2, 2, 59) (dual of [(280, 2), 308, 60]-NRT-code) | [i] | ||
6 | Linear OOA(2250, 275, F2, 2, 59) (dual of [(275, 2), 300, 60]-NRT-code) | [i] | ||
7 | Linear OOA(2248, 270, F2, 2, 59) (dual of [(270, 2), 292, 60]-NRT-code) | [i] | ||
8 | Linear OOA(2244, 260, F2, 2, 59) (dual of [(260, 2), 276, 60]-NRT-code) | [i] | ||
9 | Linear OOA(2242, 255, F2, 2, 59) (dual of [(255, 2), 268, 60]-NRT-code) | [i] | ||
10 | Linear OOA(2240, 250, F2, 2, 59) (dual of [(250, 2), 260, 60]-NRT-code) | [i] | ||
11 | Linear OOA(1642, 67, F16, 2, 33) (dual of [(67, 2), 92, 34]-NRT-code) | [i] | ✔ | Construction X with Algebraic-Geometric NRT-Codes |
12 | Linear OOA(1638, 67, F16, 2, 29) (dual of [(67, 2), 96, 30]-NRT-code) | [i] | ✔ | |
13 | Linear OOA(1644, 68, F16, 2, 34) (dual of [(68, 2), 92, 35]-NRT-code) | [i] | ✔ | |
14 | Linear OOA(1639, 68, F16, 2, 29) (dual of [(68, 2), 97, 30]-NRT-code) | [i] | ✔ | |
15 | Linear OOA(1646, 69, F16, 2, 35) (dual of [(69, 2), 92, 36]-NRT-code) | [i] | ✔ | |
16 | Linear OOA(1640, 69, F16, 2, 29) (dual of [(69, 2), 98, 30]-NRT-code) | [i] | ✔ | |
17 | Linear OOA(1648, 70, F16, 2, 36) (dual of [(70, 2), 92, 37]-NRT-code) | [i] | ✔ | |
18 | Linear OOA(1641, 70, F16, 2, 29) (dual of [(70, 2), 99, 30]-NRT-code) | [i] | ✔ | |
19 | Linear OOA(1650, 71, F16, 2, 37) (dual of [(71, 2), 92, 38]-NRT-code) | [i] | ✔ | |
20 | Linear OOA(1642, 71, F16, 2, 29) (dual of [(71, 2), 100, 30]-NRT-code) | [i] | ✔ | |
21 | Linear OOA(1652, 72, F16, 2, 38) (dual of [(72, 2), 92, 39]-NRT-code) | [i] | ✔ | |
22 | Linear OOA(1643, 72, F16, 2, 29) (dual of [(72, 2), 101, 30]-NRT-code) | [i] | ✔ | |
23 | Linear OOA(1654, 73, F16, 2, 39) (dual of [(73, 2), 92, 40]-NRT-code) | [i] | ✔ | |
24 | Linear OOA(1644, 73, F16, 2, 29) (dual of [(73, 2), 102, 30]-NRT-code) | [i] | ✔ | |
25 | Linear OOA(1656, 74, F16, 2, 40) (dual of [(74, 2), 92, 41]-NRT-code) | [i] | ✔ | |
26 | Linear OOA(1645, 74, F16, 2, 29) (dual of [(74, 2), 103, 30]-NRT-code) | [i] | ✔ | |
27 | Linear OOA(1658, 75, F16, 2, 41) (dual of [(75, 2), 92, 42]-NRT-code) | [i] | ✔ | |
28 | Linear OOA(1646, 75, F16, 2, 29) (dual of [(75, 2), 104, 30]-NRT-code) | [i] | ✔ | |
29 | Linear OOA(1660, 76, F16, 2, 42) (dual of [(76, 2), 92, 43]-NRT-code) | [i] | ✔ | |
30 | Linear OOA(1647, 76, F16, 2, 29) (dual of [(76, 2), 105, 30]-NRT-code) | [i] | ✔ | |
31 | Linear OOA(1662, 77, F16, 2, 43) (dual of [(77, 2), 92, 44]-NRT-code) | [i] | ✔ | |
32 | Linear OOA(1648, 77, F16, 2, 29) (dual of [(77, 2), 106, 30]-NRT-code) | [i] | ✔ | |
33 | Linear OOA(1664, 78, F16, 2, 44) (dual of [(78, 2), 92, 45]-NRT-code) | [i] | ✔ | |
34 | Linear OOA(1666, 79, F16, 2, 45) (dual of [(79, 2), 92, 46]-NRT-code) | [i] | ✔ | |
35 | Linear OOA(1668, 80, F16, 2, 46) (dual of [(80, 2), 92, 47]-NRT-code) | [i] | ✔ | |
36 | Linear OOA(1670, 81, F16, 2, 47) (dual of [(81, 2), 92, 48]-NRT-code) | [i] | ✔ | |
37 | Linear OOA(1671, 82, F16, 2, 47) (dual of [(82, 2), 93, 48]-NRT-code) | [i] | ✔ | |
38 | Linear OOA(1673, 83, F16, 2, 48) (dual of [(83, 2), 93, 49]-NRT-code) | [i] | ✔ | |
39 | Linear OOA(1675, 84, F16, 2, 49) (dual of [(84, 2), 93, 50]-NRT-code) | [i] | ✔ | |
40 | Linear OOA(1677, 85, F16, 2, 50) (dual of [(85, 2), 93, 51]-NRT-code) | [i] | ✔ | |
41 | Linear OOA(1679, 86, F16, 2, 51) (dual of [(86, 2), 93, 52]-NRT-code) | [i] | ✔ | |
42 | Linear OOA(1681, 87, F16, 2, 52) (dual of [(87, 2), 93, 53]-NRT-code) | [i] | ✔ | |
43 | Linear OOA(1683, 88, F16, 2, 53) (dual of [(88, 2), 93, 54]-NRT-code) | [i] | ✔ | |
44 | Linear OOA(1688, 90, F16, 2, 55) (dual of [(90, 2), 92, 56]-NRT-code) | [i] | ✔ | |
45 | Linear OOA(1690, 91, F16, 2, 56) (dual of [(91, 2), 92, 57]-NRT-code) | [i] | ✔ | |
46 | Linear OOA(1692, 92, F16, 2, 57) (dual of [(92, 2), 92, 58]-NRT-code) | [i] | ✔ | |
47 | Linear OOA(1694, 93, F16, 2, 58) (dual of [(93, 2), 92, 59]-NRT-code) | [i] | ✔ |