Information on Result #1032563
Linear OOA(4120, 55, F4, 3, 87) (dual of [(55, 3), 45, 88]-NRT-code), using algebraic-geometric NRT-code AG(3;F,77P) 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(4201, 76, F4, 3, 132) (dual of [(76, 3), 27, 133]-NRT-code) | [i] | Juxtaposition for OOAs | |
2 | Linear OOA(4192, 72, F4, 3, 126) (dual of [(72, 3), 24, 127]-NRT-code) | [i] | ||
3 | Linear OOA(4129, 58, F4, 3, 92) (dual of [(58, 3), 45, 93]-NRT-code) | [i] | ✔ | Construction X with Algebraic-Geometric NRT-Codes |
4 | Linear OOA(4124, 58, F4, 3, 87) (dual of [(58, 3), 50, 88]-NRT-code) | [i] | ✔ | |
5 | Linear OOA(4133, 59, F4, 3, 94) (dual of [(59, 3), 44, 95]-NRT-code) | [i] | ✔ | |
6 | Linear OOA(4126, 59, F4, 3, 87) (dual of [(59, 3), 51, 88]-NRT-code) | [i] | ✔ | |
7 | Linear OOA(4135, 60, F4, 3, 95) (dual of [(60, 3), 45, 96]-NRT-code) | [i] | ✔ | |
8 | Linear OOA(4127, 60, F4, 3, 87) (dual of [(60, 3), 53, 88]-NRT-code) | [i] | ✔ | |
9 | Linear OOA(4138, 61, F4, 3, 96) (dual of [(61, 3), 45, 97]-NRT-code) | [i] | ✔ | |
10 | Linear OOA(4129, 61, F4, 3, 87) (dual of [(61, 3), 54, 88]-NRT-code) | [i] | ✔ | |
11 | Linear OOA(4142, 62, F4, 3, 98) (dual of [(62, 3), 44, 99]-NRT-code) | [i] | ✔ | |
12 | Linear OOA(4131, 62, F4, 3, 87) (dual of [(62, 3), 55, 88]-NRT-code) | [i] | ✔ | |
13 | Linear OOA(4144, 63, F4, 3, 99) (dual of [(63, 3), 45, 100]-NRT-code) | [i] | ✔ | |
14 | Linear OOA(4132, 63, F4, 3, 87) (dual of [(63, 3), 57, 88]-NRT-code) | [i] | ✔ | |
15 | Linear OOA(4148, 64, F4, 3, 101) (dual of [(64, 3), 44, 102]-NRT-code) | [i] | ✔ | |
16 | Linear OOA(4134, 64, F4, 3, 87) (dual of [(64, 3), 58, 88]-NRT-code) | [i] | ✔ | |
17 | Linear OOA(4160, 68, F4, 3, 106) (dual of [(68, 3), 44, 107]-NRT-code) | [i] | ✔ | |
18 | Linear OOA(4141, 68, F4, 3, 87) (dual of [(68, 3), 63, 88]-NRT-code) | [i] | ✔ | |
19 | Linear OOA(4162, 69, F4, 3, 107) (dual of [(69, 3), 45, 108]-NRT-code) | [i] | ✔ | |
20 | Linear OOA(4142, 69, F4, 3, 87) (dual of [(69, 3), 65, 88]-NRT-code) | [i] | ✔ | |
21 | Linear OOA(4165, 70, F4, 3, 108) (dual of [(70, 3), 45, 109]-NRT-code) | [i] | ✔ | |
22 | Linear OOA(4144, 70, F4, 3, 87) (dual of [(70, 3), 66, 88]-NRT-code) | [i] | ✔ | |
23 | Linear OOA(4168, 71, F4, 3, 109) (dual of [(71, 3), 45, 110]-NRT-code) | [i] | ✔ | |
24 | Linear OOA(4146, 71, F4, 3, 87) (dual of [(71, 3), 67, 88]-NRT-code) | [i] | ✔ | |
25 | Linear OOA(4172, 72, F4, 3, 111) (dual of [(72, 3), 44, 112]-NRT-code) | [i] | ✔ | |
26 | Linear OOA(4174, 73, F4, 3, 111) (dual of [(73, 3), 45, 112]-NRT-code) | [i] | ✔ | |
27 | Linear OOA(4148, 72, F4, 3, 87) (dual of [(72, 3), 68, 88]-NRT-code) | [i] | ✔ | |
28 | Linear OOA(4150, 73, F4, 3, 87) (dual of [(73, 3), 69, 88]-NRT-code) | [i] | ✔ | |
29 | Linear OOA(4178, 74, F4, 3, 113) (dual of [(74, 3), 44, 114]-NRT-code) | [i] | ✔ | |
30 | Linear OOA(4152, 74, F4, 3, 87) (dual of [(74, 3), 70, 88]-NRT-code) | [i] | ✔ | |
31 | Linear OOA(4180, 75, F4, 3, 114) (dual of [(75, 3), 45, 115]-NRT-code) | [i] | ✔ | |
32 | Linear OOA(4153, 75, F4, 3, 87) (dual of [(75, 3), 72, 88]-NRT-code) | [i] | ✔ | |
33 | Linear OOA(4184, 76, F4, 3, 116) (dual of [(76, 3), 44, 117]-NRT-code) | [i] | ✔ | |
34 | Linear OOA(4186, 77, F4, 3, 116) (dual of [(77, 3), 45, 117]-NRT-code) | [i] | ✔ | |
35 | Linear OOA(4155, 76, F4, 3, 87) (dual of [(76, 3), 73, 88]-NRT-code) | [i] | ✔ | |
36 | Linear OOA(4157, 77, F4, 3, 87) (dual of [(77, 3), 74, 88]-NRT-code) | [i] | ✔ | |
37 | Linear OOA(4189, 78, F4, 3, 117) (dual of [(78, 3), 45, 118]-NRT-code) | [i] | ✔ | |
38 | Linear OOA(4159, 78, F4, 3, 87) (dual of [(78, 3), 75, 88]-NRT-code) | [i] | ✔ |