Information on Result #1032535
Linear OOA(4134, 55, F4, 3, 101) (dual of [(55, 3), 31, 102]-NRT-code), using algebraic-geometric NRT-code AG(3;F,63P) 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(4218, 82, F4, 3, 146) (dual of [(82, 3), 28, 147]-NRT-code) | [i] | Juxtaposition for OOAs | |
2 | Linear OOA(4209, 78, F4, 3, 142) (dual of [(78, 3), 25, 143]-NRT-code) | [i] | ||
3 | Linear OOA(4200, 74, F4, 3, 137) (dual of [(74, 3), 22, 138]-NRT-code) | [i] | ||
4 | Linear OOA(4191, 70, F4, 3, 133) (dual of [(70, 3), 19, 134]-NRT-code) | [i] | ||
5 | Linear OOA(4143, 58, F4, 3, 106) (dual of [(58, 3), 31, 107]-NRT-code) | [i] | ✔ | Construction X with Algebraic-Geometric NRT-Codes |
6 | Linear OOA(4138, 58, F4, 3, 101) (dual of [(58, 3), 36, 102]-NRT-code) | [i] | ✔ | |
7 | Linear OOA(4147, 59, F4, 3, 108) (dual of [(59, 3), 30, 109]-NRT-code) | [i] | ✔ | |
8 | Linear OOA(4140, 59, F4, 3, 101) (dual of [(59, 3), 37, 102]-NRT-code) | [i] | ✔ | |
9 | Linear OOA(4149, 60, F4, 3, 109) (dual of [(60, 3), 31, 110]-NRT-code) | [i] | ✔ | |
10 | Linear OOA(4141, 60, F4, 3, 101) (dual of [(60, 3), 39, 102]-NRT-code) | [i] | ✔ | |
11 | Linear OOA(4152, 61, F4, 3, 110) (dual of [(61, 3), 31, 111]-NRT-code) | [i] | ✔ | |
12 | Linear OOA(4143, 61, F4, 3, 101) (dual of [(61, 3), 40, 102]-NRT-code) | [i] | ✔ | |
13 | Linear OOA(4156, 62, F4, 3, 112) (dual of [(62, 3), 30, 113]-NRT-code) | [i] | ✔ | |
14 | Linear OOA(4145, 62, F4, 3, 101) (dual of [(62, 3), 41, 102]-NRT-code) | [i] | ✔ | |
15 | Linear OOA(4158, 63, F4, 3, 113) (dual of [(63, 3), 31, 114]-NRT-code) | [i] | ✔ | |
16 | Linear OOA(4146, 63, F4, 3, 101) (dual of [(63, 3), 43, 102]-NRT-code) | [i] | ✔ | |
17 | Linear OOA(4162, 64, F4, 3, 115) (dual of [(64, 3), 30, 116]-NRT-code) | [i] | ✔ | |
18 | Linear OOA(4148, 64, F4, 3, 101) (dual of [(64, 3), 44, 102]-NRT-code) | [i] | ✔ | |
19 | Linear OOA(4174, 68, F4, 3, 120) (dual of [(68, 3), 30, 121]-NRT-code) | [i] | ✔ | |
20 | Linear OOA(4155, 68, F4, 3, 101) (dual of [(68, 3), 49, 102]-NRT-code) | [i] | ✔ | |
21 | Linear OOA(4176, 69, F4, 3, 121) (dual of [(69, 3), 31, 122]-NRT-code) | [i] | ✔ | |
22 | Linear OOA(4156, 69, F4, 3, 101) (dual of [(69, 3), 51, 102]-NRT-code) | [i] | ✔ | |
23 | Linear OOA(4179, 70, F4, 3, 122) (dual of [(70, 3), 31, 123]-NRT-code) | [i] | ✔ | |
24 | Linear OOA(4158, 70, F4, 3, 101) (dual of [(70, 3), 52, 102]-NRT-code) | [i] | ✔ | |
25 | Linear OOA(4182, 71, F4, 3, 123) (dual of [(71, 3), 31, 124]-NRT-code) | [i] | ✔ | |
26 | Linear OOA(4160, 71, F4, 3, 101) (dual of [(71, 3), 53, 102]-NRT-code) | [i] | ✔ | |
27 | Linear OOA(4186, 72, F4, 3, 125) (dual of [(72, 3), 30, 126]-NRT-code) | [i] | ✔ | |
28 | Linear OOA(4188, 73, F4, 3, 125) (dual of [(73, 3), 31, 126]-NRT-code) | [i] | ✔ | |
29 | Linear OOA(4162, 72, F4, 3, 101) (dual of [(72, 3), 54, 102]-NRT-code) | [i] | ✔ | |
30 | Linear OOA(4164, 73, F4, 3, 101) (dual of [(73, 3), 55, 102]-NRT-code) | [i] | ✔ | |
31 | Linear OOA(4192, 74, F4, 3, 127) (dual of [(74, 3), 30, 128]-NRT-code) | [i] | ✔ | |
32 | Linear OOA(4166, 74, F4, 3, 101) (dual of [(74, 3), 56, 102]-NRT-code) | [i] | ✔ | |
33 | Linear OOA(4194, 75, F4, 3, 128) (dual of [(75, 3), 31, 129]-NRT-code) | [i] | ✔ | |
34 | Linear OOA(4167, 75, F4, 3, 101) (dual of [(75, 3), 58, 102]-NRT-code) | [i] | ✔ | |
35 | Linear OOA(4198, 76, F4, 3, 130) (dual of [(76, 3), 30, 131]-NRT-code) | [i] | ✔ | |
36 | Linear OOA(4200, 77, F4, 3, 130) (dual of [(77, 3), 31, 131]-NRT-code) | [i] | ✔ | |
37 | Linear OOA(4169, 76, F4, 3, 101) (dual of [(76, 3), 59, 102]-NRT-code) | [i] | ✔ | |
38 | Linear OOA(4171, 77, F4, 3, 101) (dual of [(77, 3), 60, 102]-NRT-code) | [i] | ✔ | |
39 | Linear OOA(4215, 82, F4, 3, 143) (dual of [(82, 3), 31, 144]-NRT-code) | [i] | ✔ | |
40 | Linear OOA(4173, 78, F4, 3, 101) (dual of [(78, 3), 61, 102]-NRT-code) | [i] | ✔ |