Information on Result #1032537
Linear OOA(4133, 55, F4, 3, 100) (dual of [(55, 3), 32, 101]-NRT-code), using algebraic-geometric NRT-code AG(3;F,64P) 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(4211, 79, F4, 3, 143) (dual of [(79, 3), 26, 144]-NRT-code) | [i] | Juxtaposition for OOAs | |
2 | Linear OOA(4202, 75, F4, 3, 137) (dual of [(75, 3), 23, 138]-NRT-code) | [i] | ||
3 | Linear OOA(4193, 71, F4, 3, 134) (dual of [(71, 3), 20, 135]-NRT-code) | [i] | ||
4 | Linear OOA(4142, 58, F4, 3, 105) (dual of [(58, 3), 32, 106]-NRT-code) | [i] | ✔ | Construction X with Algebraic-Geometric NRT-Codes |
5 | Linear OOA(4137, 58, F4, 3, 100) (dual of [(58, 3), 37, 101]-NRT-code) | [i] | ✔ | |
6 | Linear OOA(4146, 59, F4, 3, 107) (dual of [(59, 3), 31, 108]-NRT-code) | [i] | ✔ | |
7 | Linear OOA(4139, 59, F4, 3, 100) (dual of [(59, 3), 38, 101]-NRT-code) | [i] | ✔ | |
8 | Linear OOA(4148, 60, F4, 3, 108) (dual of [(60, 3), 32, 109]-NRT-code) | [i] | ✔ | |
9 | Linear OOA(4140, 60, F4, 3, 100) (dual of [(60, 3), 40, 101]-NRT-code) | [i] | ✔ | |
10 | Linear OOA(4151, 61, F4, 3, 109) (dual of [(61, 3), 32, 110]-NRT-code) | [i] | ✔ | |
11 | Linear OOA(4142, 61, F4, 3, 100) (dual of [(61, 3), 41, 101]-NRT-code) | [i] | ✔ | |
12 | Linear OOA(4155, 62, F4, 3, 111) (dual of [(62, 3), 31, 112]-NRT-code) | [i] | ✔ | |
13 | Linear OOA(4144, 62, F4, 3, 100) (dual of [(62, 3), 42, 101]-NRT-code) | [i] | ✔ | |
14 | Linear OOA(4157, 63, F4, 3, 112) (dual of [(63, 3), 32, 113]-NRT-code) | [i] | ✔ | |
15 | Linear OOA(4145, 63, F4, 3, 100) (dual of [(63, 3), 44, 101]-NRT-code) | [i] | ✔ | |
16 | Linear OOA(4161, 64, F4, 3, 114) (dual of [(64, 3), 31, 115]-NRT-code) | [i] | ✔ | |
17 | Linear OOA(4147, 64, F4, 3, 100) (dual of [(64, 3), 45, 101]-NRT-code) | [i] | ✔ | |
18 | Linear OOA(4173, 68, F4, 3, 119) (dual of [(68, 3), 31, 120]-NRT-code) | [i] | ✔ | |
19 | Linear OOA(4154, 68, F4, 3, 100) (dual of [(68, 3), 50, 101]-NRT-code) | [i] | ✔ | |
20 | Linear OOA(4175, 69, F4, 3, 120) (dual of [(69, 3), 32, 121]-NRT-code) | [i] | ✔ | |
21 | Linear OOA(4155, 69, F4, 3, 100) (dual of [(69, 3), 52, 101]-NRT-code) | [i] | ✔ | |
22 | Linear OOA(4178, 70, F4, 3, 121) (dual of [(70, 3), 32, 122]-NRT-code) | [i] | ✔ | |
23 | Linear OOA(4157, 70, F4, 3, 100) (dual of [(70, 3), 53, 101]-NRT-code) | [i] | ✔ | |
24 | Linear OOA(4181, 71, F4, 3, 122) (dual of [(71, 3), 32, 123]-NRT-code) | [i] | ✔ | |
25 | Linear OOA(4159, 71, F4, 3, 100) (dual of [(71, 3), 54, 101]-NRT-code) | [i] | ✔ | |
26 | Linear OOA(4185, 72, F4, 3, 124) (dual of [(72, 3), 31, 125]-NRT-code) | [i] | ✔ | |
27 | Linear OOA(4187, 73, F4, 3, 124) (dual of [(73, 3), 32, 125]-NRT-code) | [i] | ✔ | |
28 | Linear OOA(4161, 72, F4, 3, 100) (dual of [(72, 3), 55, 101]-NRT-code) | [i] | ✔ | |
29 | Linear OOA(4163, 73, F4, 3, 100) (dual of [(73, 3), 56, 101]-NRT-code) | [i] | ✔ | |
30 | Linear OOA(4191, 74, F4, 3, 126) (dual of [(74, 3), 31, 127]-NRT-code) | [i] | ✔ | |
31 | Linear OOA(4165, 74, F4, 3, 100) (dual of [(74, 3), 57, 101]-NRT-code) | [i] | ✔ | |
32 | Linear OOA(4193, 75, F4, 3, 127) (dual of [(75, 3), 32, 128]-NRT-code) | [i] | ✔ | |
33 | Linear OOA(4166, 75, F4, 3, 100) (dual of [(75, 3), 59, 101]-NRT-code) | [i] | ✔ | |
34 | Linear OOA(4197, 76, F4, 3, 129) (dual of [(76, 3), 31, 130]-NRT-code) | [i] | ✔ | |
35 | Linear OOA(4199, 77, F4, 3, 129) (dual of [(77, 3), 32, 130]-NRT-code) | [i] | ✔ | |
36 | Linear OOA(4168, 76, F4, 3, 100) (dual of [(76, 3), 60, 101]-NRT-code) | [i] | ✔ | |
37 | Linear OOA(4170, 77, F4, 3, 100) (dual of [(77, 3), 61, 101]-NRT-code) | [i] | ✔ | |
38 | Linear OOA(4202, 78, F4, 3, 130) (dual of [(78, 3), 32, 131]-NRT-code) | [i] | ✔ | |
39 | Linear OOA(4172, 78, F4, 3, 100) (dual of [(78, 3), 62, 101]-NRT-code) | [i] | ✔ |