Information on Result #928685
Linear OOA(1684, 64, F16, 2, 78) (dual of [(64, 2), 44, 79]-NRT-code), using algebraic-geometric NRT-code AG(2;F,49P) 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(1691, 67, F16, 2, 82) (dual of [(67, 2), 43, 83]-NRT-code) | [i] | ✔ | Construction X with Algebraic-Geometric NRT-Codes |
2 | Linear OOA(1687, 67, F16, 2, 78) (dual of [(67, 2), 47, 79]-NRT-code) | [i] | ✔ | |
3 | Linear OOA(1693, 68, F16, 2, 83) (dual of [(68, 2), 43, 84]-NRT-code) | [i] | ✔ | |
4 | Linear OOA(1688, 68, F16, 2, 78) (dual of [(68, 2), 48, 79]-NRT-code) | [i] | ✔ | |
5 | Linear OOA(1695, 69, F16, 2, 84) (dual of [(69, 2), 43, 85]-NRT-code) | [i] | ✔ | |
6 | Linear OOA(1689, 69, F16, 2, 78) (dual of [(69, 2), 49, 79]-NRT-code) | [i] | ✔ | |
7 | Linear OOA(1697, 70, F16, 2, 85) (dual of [(70, 2), 43, 86]-NRT-code) | [i] | ✔ | |
8 | Linear OOA(1690, 70, F16, 2, 78) (dual of [(70, 2), 50, 79]-NRT-code) | [i] | ✔ | |
9 | Linear OOA(1699, 71, F16, 2, 86) (dual of [(71, 2), 43, 87]-NRT-code) | [i] | ✔ | |
10 | Linear OOA(1691, 71, F16, 2, 78) (dual of [(71, 2), 51, 79]-NRT-code) | [i] | ✔ | |
11 | Linear OOA(16101, 72, F16, 2, 87) (dual of [(72, 2), 43, 88]-NRT-code) | [i] | ✔ | |
12 | Linear OOA(1692, 72, F16, 2, 78) (dual of [(72, 2), 52, 79]-NRT-code) | [i] | ✔ | |
13 | Linear OOA(16103, 73, F16, 2, 88) (dual of [(73, 2), 43, 89]-NRT-code) | [i] | ✔ | |
14 | Linear OOA(1693, 73, F16, 2, 78) (dual of [(73, 2), 53, 79]-NRT-code) | [i] | ✔ | |
15 | Linear OOA(16105, 74, F16, 2, 89) (dual of [(74, 2), 43, 90]-NRT-code) | [i] | ✔ | |
16 | Linear OOA(1694, 74, F16, 2, 78) (dual of [(74, 2), 54, 79]-NRT-code) | [i] | ✔ | |
17 | Linear OOA(16107, 75, F16, 2, 90) (dual of [(75, 2), 43, 91]-NRT-code) | [i] | ✔ | |
18 | Linear OOA(1695, 75, F16, 2, 78) (dual of [(75, 2), 55, 79]-NRT-code) | [i] | ✔ | |
19 | Linear OOA(16109, 76, F16, 2, 91) (dual of [(76, 2), 43, 92]-NRT-code) | [i] | ✔ | |
20 | Linear OOA(1696, 76, F16, 2, 78) (dual of [(76, 2), 56, 79]-NRT-code) | [i] | ✔ | |
21 | Linear OOA(16111, 77, F16, 2, 92) (dual of [(77, 2), 43, 93]-NRT-code) | [i] | ✔ | |
22 | Linear OOA(1697, 77, F16, 2, 78) (dual of [(77, 2), 57, 79]-NRT-code) | [i] | ✔ | |
23 | Linear OOA(16113, 78, F16, 2, 93) (dual of [(78, 2), 43, 94]-NRT-code) | [i] | ✔ | |
24 | Linear OOA(1698, 78, F16, 2, 78) (dual of [(78, 2), 58, 79]-NRT-code) | [i] | ✔ | |
25 | Linear OOA(16115, 79, F16, 2, 94) (dual of [(79, 2), 43, 95]-NRT-code) | [i] | ✔ | |
26 | Linear OOA(1699, 79, F16, 2, 78) (dual of [(79, 2), 59, 79]-NRT-code) | [i] | ✔ | |
27 | Linear OOA(16117, 80, F16, 2, 95) (dual of [(80, 2), 43, 96]-NRT-code) | [i] | ✔ | |
28 | Linear OOA(16100, 80, F16, 2, 78) (dual of [(80, 2), 60, 79]-NRT-code) | [i] | ✔ | |
29 | Linear OOA(16119, 81, F16, 2, 96) (dual of [(81, 2), 43, 97]-NRT-code) | [i] | ✔ | |
30 | Linear OOA(16120, 82, F16, 2, 96) (dual of [(82, 2), 44, 97]-NRT-code) | [i] | ✔ | |
31 | Linear OOA(16101, 81, F16, 2, 78) (dual of [(81, 2), 61, 79]-NRT-code) | [i] | ✔ | |
32 | Linear OOA(16102, 82, F16, 2, 78) (dual of [(82, 2), 62, 79]-NRT-code) | [i] | ✔ | |
33 | Linear OOA(16122, 83, F16, 2, 97) (dual of [(83, 2), 44, 98]-NRT-code) | [i] | ✔ | |
34 | Linear OOA(16103, 83, F16, 2, 78) (dual of [(83, 2), 63, 79]-NRT-code) | [i] | ✔ | |
35 | Linear OOA(16124, 84, F16, 2, 98) (dual of [(84, 2), 44, 99]-NRT-code) | [i] | ✔ | |
36 | Linear OOA(16104, 84, F16, 2, 78) (dual of [(84, 2), 64, 79]-NRT-code) | [i] | ✔ | |
37 | Linear OOA(16126, 85, F16, 2, 99) (dual of [(85, 2), 44, 100]-NRT-code) | [i] | ✔ | |
38 | Linear OOA(16105, 85, F16, 2, 78) (dual of [(85, 2), 65, 79]-NRT-code) | [i] | ✔ | |
39 | Linear OOA(16128, 86, F16, 2, 100) (dual of [(86, 2), 44, 101]-NRT-code) | [i] | ✔ | |
40 | Linear OOA(16106, 86, F16, 2, 78) (dual of [(86, 2), 66, 79]-NRT-code) | [i] | ✔ | |
41 | Linear OOA(16130, 87, F16, 2, 101) (dual of [(87, 2), 44, 102]-NRT-code) | [i] | ✔ | |
42 | Linear OOA(16107, 87, F16, 2, 78) (dual of [(87, 2), 67, 79]-NRT-code) | [i] | ✔ | |
43 | Linear OOA(16108, 88, F16, 2, 78) (dual of [(88, 2), 68, 79]-NRT-code) | [i] | ✔ | |
44 | Linear OOA(16111, 90, F16, 2, 78) (dual of [(90, 2), 69, 79]-NRT-code) | [i] | ✔ | |
45 | Linear OOA(16112, 91, F16, 2, 78) (dual of [(91, 2), 70, 79]-NRT-code) | [i] | ✔ | |
46 | Linear OOA(16113, 92, F16, 2, 78) (dual of [(92, 2), 71, 79]-NRT-code) | [i] | ✔ | |
47 | Linear OOA(16114, 93, F16, 2, 78) (dual of [(93, 2), 72, 79]-NRT-code) | [i] | ✔ | |
48 | Linear OOA(16115, 94, F16, 2, 78) (dual of [(94, 2), 73, 79]-NRT-code) | [i] | ✔ | |
49 | Linear OOA(16116, 95, F16, 2, 78) (dual of [(95, 2), 74, 79]-NRT-code) | [i] | ✔ | |
50 | Linear OOA(16117, 96, F16, 2, 78) (dual of [(96, 2), 75, 79]-NRT-code) | [i] | ✔ |