Information on Result #1032557
Linear OOA(4123, 55, F4, 3, 90) (dual of [(55, 3), 42, 91]-NRT-code), using algebraic-geometric NRT-code AG(3;F,74P) 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(4204, 77, F4, 3, 135) (dual of [(77, 3), 27, 136]-NRT-code) | [i] | Juxtaposition for OOAs | |
2 | Linear OOA(4195, 73, F4, 3, 129) (dual of [(73, 3), 24, 130]-NRT-code) | [i] | ||
3 | Linear OOA(4132, 58, F4, 3, 95) (dual of [(58, 3), 42, 96]-NRT-code) | [i] | ✔ | Construction X with Algebraic-Geometric NRT-Codes |
4 | Linear OOA(4127, 58, F4, 3, 90) (dual of [(58, 3), 47, 91]-NRT-code) | [i] | ✔ | |
5 | Linear OOA(4136, 59, F4, 3, 97) (dual of [(59, 3), 41, 98]-NRT-code) | [i] | ✔ | |
6 | Linear OOA(4129, 59, F4, 3, 90) (dual of [(59, 3), 48, 91]-NRT-code) | [i] | ✔ | |
7 | Linear OOA(4138, 60, F4, 3, 98) (dual of [(60, 3), 42, 99]-NRT-code) | [i] | ✔ | |
8 | Linear OOA(4130, 60, F4, 3, 90) (dual of [(60, 3), 50, 91]-NRT-code) | [i] | ✔ | |
9 | Linear OOA(4141, 61, F4, 3, 99) (dual of [(61, 3), 42, 100]-NRT-code) | [i] | ✔ | |
10 | Linear OOA(4132, 61, F4, 3, 90) (dual of [(61, 3), 51, 91]-NRT-code) | [i] | ✔ | |
11 | Linear OOA(4145, 62, F4, 3, 101) (dual of [(62, 3), 41, 102]-NRT-code) | [i] | ✔ | |
12 | Linear OOA(4134, 62, F4, 3, 90) (dual of [(62, 3), 52, 91]-NRT-code) | [i] | ✔ | |
13 | Linear OOA(4147, 63, F4, 3, 102) (dual of [(63, 3), 42, 103]-NRT-code) | [i] | ✔ | |
14 | Linear OOA(4135, 63, F4, 3, 90) (dual of [(63, 3), 54, 91]-NRT-code) | [i] | ✔ | |
15 | Linear OOA(4151, 64, F4, 3, 104) (dual of [(64, 3), 41, 105]-NRT-code) | [i] | ✔ | |
16 | Linear OOA(4137, 64, F4, 3, 90) (dual of [(64, 3), 55, 91]-NRT-code) | [i] | ✔ | |
17 | Linear OOA(4163, 68, F4, 3, 109) (dual of [(68, 3), 41, 110]-NRT-code) | [i] | ✔ | |
18 | Linear OOA(4144, 68, F4, 3, 90) (dual of [(68, 3), 60, 91]-NRT-code) | [i] | ✔ | |
19 | Linear OOA(4165, 69, F4, 3, 110) (dual of [(69, 3), 42, 111]-NRT-code) | [i] | ✔ | |
20 | Linear OOA(4145, 69, F4, 3, 90) (dual of [(69, 3), 62, 91]-NRT-code) | [i] | ✔ | |
21 | Linear OOA(4168, 70, F4, 3, 111) (dual of [(70, 3), 42, 112]-NRT-code) | [i] | ✔ | |
22 | Linear OOA(4147, 70, F4, 3, 90) (dual of [(70, 3), 63, 91]-NRT-code) | [i] | ✔ | |
23 | Linear OOA(4171, 71, F4, 3, 112) (dual of [(71, 3), 42, 113]-NRT-code) | [i] | ✔ | |
24 | Linear OOA(4149, 71, F4, 3, 90) (dual of [(71, 3), 64, 91]-NRT-code) | [i] | ✔ | |
25 | Linear OOA(4175, 72, F4, 3, 114) (dual of [(72, 3), 41, 115]-NRT-code) | [i] | ✔ | |
26 | Linear OOA(4177, 73, F4, 3, 114) (dual of [(73, 3), 42, 115]-NRT-code) | [i] | ✔ | |
27 | Linear OOA(4151, 72, F4, 3, 90) (dual of [(72, 3), 65, 91]-NRT-code) | [i] | ✔ | |
28 | Linear OOA(4153, 73, F4, 3, 90) (dual of [(73, 3), 66, 91]-NRT-code) | [i] | ✔ | |
29 | Linear OOA(4181, 74, F4, 3, 116) (dual of [(74, 3), 41, 117]-NRT-code) | [i] | ✔ | |
30 | Linear OOA(4155, 74, F4, 3, 90) (dual of [(74, 3), 67, 91]-NRT-code) | [i] | ✔ | |
31 | Linear OOA(4183, 75, F4, 3, 117) (dual of [(75, 3), 42, 118]-NRT-code) | [i] | ✔ | |
32 | Linear OOA(4156, 75, F4, 3, 90) (dual of [(75, 3), 69, 91]-NRT-code) | [i] | ✔ | |
33 | Linear OOA(4187, 76, F4, 3, 119) (dual of [(76, 3), 41, 120]-NRT-code) | [i] | ✔ | |
34 | Linear OOA(4189, 77, F4, 3, 119) (dual of [(77, 3), 42, 120]-NRT-code) | [i] | ✔ | |
35 | Linear OOA(4158, 76, F4, 3, 90) (dual of [(76, 3), 70, 91]-NRT-code) | [i] | ✔ | |
36 | Linear OOA(4160, 77, F4, 3, 90) (dual of [(77, 3), 71, 91]-NRT-code) | [i] | ✔ | |
37 | Linear OOA(4192, 78, F4, 3, 120) (dual of [(78, 3), 42, 121]-NRT-code) | [i] | ✔ | |
38 | Linear OOA(4162, 78, F4, 3, 90) (dual of [(78, 3), 72, 91]-NRT-code) | [i] | ✔ |