Information on Result #1032547
Linear OOA(4128, 55, F4, 3, 95) (dual of [(55, 3), 37, 96]-NRT-code), using algebraic-geometric NRT-code AG(3;F,69P) 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(4212, 80, F4, 3, 140) (dual of [(80, 3), 28, 141]-NRT-code) | [i] | Juxtaposition for OOAs | |
2 | Linear OOA(4203, 76, F4, 3, 136) (dual of [(76, 3), 25, 137]-NRT-code) | [i] | ||
3 | Linear OOA(4194, 72, F4, 3, 131) (dual of [(72, 3), 22, 132]-NRT-code) | [i] | ||
4 | Linear OOA(4137, 58, F4, 3, 100) (dual of [(58, 3), 37, 101]-NRT-code) | [i] | ✔ | Construction X with Algebraic-Geometric NRT-Codes |
5 | Linear OOA(4132, 58, F4, 3, 95) (dual of [(58, 3), 42, 96]-NRT-code) | [i] | ✔ | |
6 | Linear OOA(4141, 59, F4, 3, 102) (dual of [(59, 3), 36, 103]-NRT-code) | [i] | ✔ | |
7 | Linear OOA(4134, 59, F4, 3, 95) (dual of [(59, 3), 43, 96]-NRT-code) | [i] | ✔ | |
8 | Linear OOA(4143, 60, F4, 3, 103) (dual of [(60, 3), 37, 104]-NRT-code) | [i] | ✔ | |
9 | Linear OOA(4135, 60, F4, 3, 95) (dual of [(60, 3), 45, 96]-NRT-code) | [i] | ✔ | |
10 | Linear OOA(4146, 61, F4, 3, 104) (dual of [(61, 3), 37, 105]-NRT-code) | [i] | ✔ | |
11 | Linear OOA(4137, 61, F4, 3, 95) (dual of [(61, 3), 46, 96]-NRT-code) | [i] | ✔ | |
12 | Linear OOA(4150, 62, F4, 3, 106) (dual of [(62, 3), 36, 107]-NRT-code) | [i] | ✔ | |
13 | Linear OOA(4139, 62, F4, 3, 95) (dual of [(62, 3), 47, 96]-NRT-code) | [i] | ✔ | |
14 | Linear OOA(4152, 63, F4, 3, 107) (dual of [(63, 3), 37, 108]-NRT-code) | [i] | ✔ | |
15 | Linear OOA(4140, 63, F4, 3, 95) (dual of [(63, 3), 49, 96]-NRT-code) | [i] | ✔ | |
16 | Linear OOA(4156, 64, F4, 3, 109) (dual of [(64, 3), 36, 110]-NRT-code) | [i] | ✔ | |
17 | Linear OOA(4142, 64, F4, 3, 95) (dual of [(64, 3), 50, 96]-NRT-code) | [i] | ✔ | |
18 | Linear OOA(4168, 68, F4, 3, 114) (dual of [(68, 3), 36, 115]-NRT-code) | [i] | ✔ | |
19 | Linear OOA(4149, 68, F4, 3, 95) (dual of [(68, 3), 55, 96]-NRT-code) | [i] | ✔ | |
20 | Linear OOA(4170, 69, F4, 3, 115) (dual of [(69, 3), 37, 116]-NRT-code) | [i] | ✔ | |
21 | Linear OOA(4150, 69, F4, 3, 95) (dual of [(69, 3), 57, 96]-NRT-code) | [i] | ✔ | |
22 | Linear OOA(4173, 70, F4, 3, 116) (dual of [(70, 3), 37, 117]-NRT-code) | [i] | ✔ | |
23 | Linear OOA(4152, 70, F4, 3, 95) (dual of [(70, 3), 58, 96]-NRT-code) | [i] | ✔ | |
24 | Linear OOA(4176, 71, F4, 3, 117) (dual of [(71, 3), 37, 118]-NRT-code) | [i] | ✔ | |
25 | Linear OOA(4154, 71, F4, 3, 95) (dual of [(71, 3), 59, 96]-NRT-code) | [i] | ✔ | |
26 | Linear OOA(4180, 72, F4, 3, 119) (dual of [(72, 3), 36, 120]-NRT-code) | [i] | ✔ | |
27 | Linear OOA(4182, 73, F4, 3, 119) (dual of [(73, 3), 37, 120]-NRT-code) | [i] | ✔ | |
28 | Linear OOA(4156, 72, F4, 3, 95) (dual of [(72, 3), 60, 96]-NRT-code) | [i] | ✔ | |
29 | Linear OOA(4158, 73, F4, 3, 95) (dual of [(73, 3), 61, 96]-NRT-code) | [i] | ✔ | |
30 | Linear OOA(4186, 74, F4, 3, 121) (dual of [(74, 3), 36, 122]-NRT-code) | [i] | ✔ | |
31 | Linear OOA(4160, 74, F4, 3, 95) (dual of [(74, 3), 62, 96]-NRT-code) | [i] | ✔ | |
32 | Linear OOA(4188, 75, F4, 3, 122) (dual of [(75, 3), 37, 123]-NRT-code) | [i] | ✔ | |
33 | Linear OOA(4161, 75, F4, 3, 95) (dual of [(75, 3), 64, 96]-NRT-code) | [i] | ✔ | |
34 | Linear OOA(4192, 76, F4, 3, 124) (dual of [(76, 3), 36, 125]-NRT-code) | [i] | ✔ | |
35 | Linear OOA(4194, 77, F4, 3, 124) (dual of [(77, 3), 37, 125]-NRT-code) | [i] | ✔ | |
36 | Linear OOA(4163, 76, F4, 3, 95) (dual of [(76, 3), 65, 96]-NRT-code) | [i] | ✔ | |
37 | Linear OOA(4165, 77, F4, 3, 95) (dual of [(77, 3), 66, 96]-NRT-code) | [i] | ✔ | |
38 | Linear OOA(4197, 78, F4, 3, 125) (dual of [(78, 3), 37, 126]-NRT-code) | [i] | ✔ | |
39 | Linear OOA(4167, 78, F4, 3, 95) (dual of [(78, 3), 67, 96]-NRT-code) | [i] | ✔ |