Information on Result #1032555
Linear OOA(4124, 55, F4, 3, 91) (dual of [(55, 3), 41, 92]-NRT-code), using algebraic-geometric NRT-code AG(3;F,73P) 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(4202, 76, F4, 3, 134) (dual of [(76, 3), 26, 135]-NRT-code) | [i] | Juxtaposition for OOAs | |
2 | Linear OOA(4193, 72, F4, 3, 128) (dual of [(72, 3), 23, 129]-NRT-code) | [i] | ||
3 | Linear OOA(4133, 58, F4, 3, 96) (dual of [(58, 3), 41, 97]-NRT-code) | [i] | ✔ | Construction X with Algebraic-Geometric NRT-Codes |
4 | Linear OOA(4128, 58, F4, 3, 91) (dual of [(58, 3), 46, 92]-NRT-code) | [i] | ✔ | |
5 | Linear OOA(4137, 59, F4, 3, 98) (dual of [(59, 3), 40, 99]-NRT-code) | [i] | ✔ | |
6 | Linear OOA(4130, 59, F4, 3, 91) (dual of [(59, 3), 47, 92]-NRT-code) | [i] | ✔ | |
7 | Linear OOA(4139, 60, F4, 3, 99) (dual of [(60, 3), 41, 100]-NRT-code) | [i] | ✔ | |
8 | Linear OOA(4131, 60, F4, 3, 91) (dual of [(60, 3), 49, 92]-NRT-code) | [i] | ✔ | |
9 | Linear OOA(4142, 61, F4, 3, 100) (dual of [(61, 3), 41, 101]-NRT-code) | [i] | ✔ | |
10 | Linear OOA(4133, 61, F4, 3, 91) (dual of [(61, 3), 50, 92]-NRT-code) | [i] | ✔ | |
11 | Linear OOA(4146, 62, F4, 3, 102) (dual of [(62, 3), 40, 103]-NRT-code) | [i] | ✔ | |
12 | Linear OOA(4135, 62, F4, 3, 91) (dual of [(62, 3), 51, 92]-NRT-code) | [i] | ✔ | |
13 | Linear OOA(4148, 63, F4, 3, 103) (dual of [(63, 3), 41, 104]-NRT-code) | [i] | ✔ | |
14 | Linear OOA(4136, 63, F4, 3, 91) (dual of [(63, 3), 53, 92]-NRT-code) | [i] | ✔ | |
15 | Linear OOA(4152, 64, F4, 3, 105) (dual of [(64, 3), 40, 106]-NRT-code) | [i] | ✔ | |
16 | Linear OOA(4138, 64, F4, 3, 91) (dual of [(64, 3), 54, 92]-NRT-code) | [i] | ✔ | |
17 | Linear OOA(4164, 68, F4, 3, 110) (dual of [(68, 3), 40, 111]-NRT-code) | [i] | ✔ | |
18 | Linear OOA(4145, 68, F4, 3, 91) (dual of [(68, 3), 59, 92]-NRT-code) | [i] | ✔ | |
19 | Linear OOA(4166, 69, F4, 3, 111) (dual of [(69, 3), 41, 112]-NRT-code) | [i] | ✔ | |
20 | Linear OOA(4146, 69, F4, 3, 91) (dual of [(69, 3), 61, 92]-NRT-code) | [i] | ✔ | |
21 | Linear OOA(4169, 70, F4, 3, 112) (dual of [(70, 3), 41, 113]-NRT-code) | [i] | ✔ | |
22 | Linear OOA(4148, 70, F4, 3, 91) (dual of [(70, 3), 62, 92]-NRT-code) | [i] | ✔ | |
23 | Linear OOA(4172, 71, F4, 3, 113) (dual of [(71, 3), 41, 114]-NRT-code) | [i] | ✔ | |
24 | Linear OOA(4150, 71, F4, 3, 91) (dual of [(71, 3), 63, 92]-NRT-code) | [i] | ✔ | |
25 | Linear OOA(4176, 72, F4, 3, 115) (dual of [(72, 3), 40, 116]-NRT-code) | [i] | ✔ | |
26 | Linear OOA(4178, 73, F4, 3, 115) (dual of [(73, 3), 41, 116]-NRT-code) | [i] | ✔ | |
27 | Linear OOA(4152, 72, F4, 3, 91) (dual of [(72, 3), 64, 92]-NRT-code) | [i] | ✔ | |
28 | Linear OOA(4154, 73, F4, 3, 91) (dual of [(73, 3), 65, 92]-NRT-code) | [i] | ✔ | |
29 | Linear OOA(4182, 74, F4, 3, 117) (dual of [(74, 3), 40, 118]-NRT-code) | [i] | ✔ | |
30 | Linear OOA(4156, 74, F4, 3, 91) (dual of [(74, 3), 66, 92]-NRT-code) | [i] | ✔ | |
31 | Linear OOA(4184, 75, F4, 3, 118) (dual of [(75, 3), 41, 119]-NRT-code) | [i] | ✔ | |
32 | Linear OOA(4157, 75, F4, 3, 91) (dual of [(75, 3), 68, 92]-NRT-code) | [i] | ✔ | |
33 | Linear OOA(4188, 76, F4, 3, 120) (dual of [(76, 3), 40, 121]-NRT-code) | [i] | ✔ | |
34 | Linear OOA(4190, 77, F4, 3, 120) (dual of [(77, 3), 41, 121]-NRT-code) | [i] | ✔ | |
35 | Linear OOA(4159, 76, F4, 3, 91) (dual of [(76, 3), 69, 92]-NRT-code) | [i] | ✔ | |
36 | Linear OOA(4161, 77, F4, 3, 91) (dual of [(77, 3), 70, 92]-NRT-code) | [i] | ✔ | |
37 | Linear OOA(4193, 78, F4, 3, 121) (dual of [(78, 3), 41, 122]-NRT-code) | [i] | ✔ | |
38 | Linear OOA(4163, 78, F4, 3, 91) (dual of [(78, 3), 71, 92]-NRT-code) | [i] | ✔ |