Information on Result #1032529
Linear OOA(4137, 55, F4, 3, 104) (dual of [(55, 3), 28, 105]-NRT-code), using algebraic-geometric NRT-code AG(3;F,60P) based on function field F/F4 with g(F) = 33 and N(F) ≥ 56, using
- F5 from the tower of function fields by GarcÃa and Stichtenoth over F4 [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(4221, 83, F4, 3, 149) (dual of [(83, 3), 28, 150]-NRT-code) | [i] | Juxtaposition for OOAs | |
2 | Linear OOA(4212, 79, F4, 3, 145) (dual of [(79, 3), 25, 146]-NRT-code) | [i] | ||
3 | Linear OOA(4203, 75, F4, 3, 140) (dual of [(75, 3), 22, 141]-NRT-code) | [i] | ||
4 | Linear OOA(4194, 71, F4, 3, 136) (dual of [(71, 3), 19, 137]-NRT-code) | [i] | ||
5 | Linear OOA(4146, 58, F4, 3, 109) (dual of [(58, 3), 28, 110]-NRT-code) | [i] | ✔ | Construction X with Algebraic-Geometric NRT-Codes |
6 | Linear OOA(4141, 58, F4, 3, 104) (dual of [(58, 3), 33, 105]-NRT-code) | [i] | ✔ | |
7 | Linear OOA(4150, 59, F4, 3, 111) (dual of [(59, 3), 27, 112]-NRT-code) | [i] | ✔ | |
8 | Linear OOA(4143, 59, F4, 3, 104) (dual of [(59, 3), 34, 105]-NRT-code) | [i] | ✔ | |
9 | Linear OOA(4152, 60, F4, 3, 112) (dual of [(60, 3), 28, 113]-NRT-code) | [i] | ✔ | |
10 | Linear OOA(4144, 60, F4, 3, 104) (dual of [(60, 3), 36, 105]-NRT-code) | [i] | ✔ | |
11 | Linear OOA(4155, 61, F4, 3, 113) (dual of [(61, 3), 28, 114]-NRT-code) | [i] | ✔ | |
12 | Linear OOA(4146, 61, F4, 3, 104) (dual of [(61, 3), 37, 105]-NRT-code) | [i] | ✔ | |
13 | Linear OOA(4159, 62, F4, 3, 115) (dual of [(62, 3), 27, 116]-NRT-code) | [i] | ✔ | |
14 | Linear OOA(4148, 62, F4, 3, 104) (dual of [(62, 3), 38, 105]-NRT-code) | [i] | ✔ | |
15 | Linear OOA(4161, 63, F4, 3, 116) (dual of [(63, 3), 28, 117]-NRT-code) | [i] | ✔ | |
16 | Linear OOA(4149, 63, F4, 3, 104) (dual of [(63, 3), 40, 105]-NRT-code) | [i] | ✔ | |
17 | Linear OOA(4165, 64, F4, 3, 118) (dual of [(64, 3), 27, 119]-NRT-code) | [i] | ✔ | |
18 | Linear OOA(4151, 64, F4, 3, 104) (dual of [(64, 3), 41, 105]-NRT-code) | [i] | ✔ | |
19 | Linear OOA(4177, 68, F4, 3, 123) (dual of [(68, 3), 27, 124]-NRT-code) | [i] | ✔ | |
20 | Linear OOA(4158, 68, F4, 3, 104) (dual of [(68, 3), 46, 105]-NRT-code) | [i] | ✔ | |
21 | Linear OOA(4179, 69, F4, 3, 124) (dual of [(69, 3), 28, 125]-NRT-code) | [i] | ✔ | |
22 | Linear OOA(4159, 69, F4, 3, 104) (dual of [(69, 3), 48, 105]-NRT-code) | [i] | ✔ | |
23 | Linear OOA(4182, 70, F4, 3, 125) (dual of [(70, 3), 28, 126]-NRT-code) | [i] | ✔ | |
24 | Linear OOA(4161, 70, F4, 3, 104) (dual of [(70, 3), 49, 105]-NRT-code) | [i] | ✔ | |
25 | Linear OOA(4185, 71, F4, 3, 126) (dual of [(71, 3), 28, 127]-NRT-code) | [i] | ✔ | |
26 | Linear OOA(4163, 71, F4, 3, 104) (dual of [(71, 3), 50, 105]-NRT-code) | [i] | ✔ | |
27 | Linear OOA(4189, 72, F4, 3, 128) (dual of [(72, 3), 27, 129]-NRT-code) | [i] | ✔ | |
28 | Linear OOA(4191, 73, F4, 3, 128) (dual of [(73, 3), 28, 129]-NRT-code) | [i] | ✔ | |
29 | Linear OOA(4165, 72, F4, 3, 104) (dual of [(72, 3), 51, 105]-NRT-code) | [i] | ✔ | |
30 | Linear OOA(4167, 73, F4, 3, 104) (dual of [(73, 3), 52, 105]-NRT-code) | [i] | ✔ | |
31 | Linear OOA(4169, 74, F4, 3, 104) (dual of [(74, 3), 53, 105]-NRT-code) | [i] | ✔ | |
32 | Linear OOA(4227, 85, F4, 3, 155) (dual of [(85, 3), 28, 156]-NRT-code) | [i] | ✔ | |
33 | Linear OOA(4221, 83, F4, 3, 150) (dual of [(83, 3), 28, 151]-NRT-code) | [i] | ✔ | |
34 | Linear OOA(4218, 82, F4, 3, 149) (dual of [(82, 3), 28, 150]-NRT-code) | [i] | ✔ | |
35 | Linear OOA(4203, 77, F4, 3, 135) (dual of [(77, 3), 28, 136]-NRT-code) | [i] | ✔ | |
36 | Linear OOA(4200, 76, F4, 3, 134) (dual of [(76, 3), 28, 135]-NRT-code) | [i] | ✔ | |
37 | Linear OOA(4170, 75, F4, 3, 104) (dual of [(75, 3), 55, 105]-NRT-code) | [i] | ✔ | |
38 | Linear OOA(4172, 76, F4, 3, 104) (dual of [(76, 3), 56, 105]-NRT-code) | [i] | ✔ | |
39 | Linear OOA(4174, 77, F4, 3, 104) (dual of [(77, 3), 57, 105]-NRT-code) | [i] | ✔ | |
40 | Linear OOA(4176, 78, F4, 3, 104) (dual of [(78, 3), 58, 105]-NRT-code) | [i] | ✔ |