Information on Result #1032527
Linear OOA(4138, 55, F4, 3, 105) (dual of [(55, 3), 27, 106]-NRT-code), using algebraic-geometric NRT-code AG(3;F,59P) 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(4219, 82, F4, 3, 150) (dual of [(82, 3), 27, 151]-NRT-code) | [i] | Juxtaposition for OOAs | |
2 | Linear OOA(4210, 78, F4, 3, 144) (dual of [(78, 3), 24, 145]-NRT-code) | [i] | ||
3 | Linear OOA(4201, 74, F4, 3, 141) (dual of [(74, 3), 21, 142]-NRT-code) | [i] | ||
4 | Linear OOA(4192, 70, F4, 3, 135) (dual of [(70, 3), 18, 136]-NRT-code) | [i] | ||
5 | Linear OOA(4147, 58, F4, 3, 110) (dual of [(58, 3), 27, 111]-NRT-code) | [i] | ✔ | Construction X with Algebraic-Geometric NRT-Codes |
6 | Linear OOA(4142, 58, F4, 3, 105) (dual of [(58, 3), 32, 106]-NRT-code) | [i] | ✔ | |
7 | Linear OOA(4151, 59, F4, 3, 112) (dual of [(59, 3), 26, 113]-NRT-code) | [i] | ✔ | |
8 | Linear OOA(4144, 59, F4, 3, 105) (dual of [(59, 3), 33, 106]-NRT-code) | [i] | ✔ | |
9 | Linear OOA(4153, 60, F4, 3, 113) (dual of [(60, 3), 27, 114]-NRT-code) | [i] | ✔ | |
10 | Linear OOA(4145, 60, F4, 3, 105) (dual of [(60, 3), 35, 106]-NRT-code) | [i] | ✔ | |
11 | Linear OOA(4156, 61, F4, 3, 114) (dual of [(61, 3), 27, 115]-NRT-code) | [i] | ✔ | |
12 | Linear OOA(4147, 61, F4, 3, 105) (dual of [(61, 3), 36, 106]-NRT-code) | [i] | ✔ | |
13 | Linear OOA(4160, 62, F4, 3, 116) (dual of [(62, 3), 26, 117]-NRT-code) | [i] | ✔ | |
14 | Linear OOA(4149, 62, F4, 3, 105) (dual of [(62, 3), 37, 106]-NRT-code) | [i] | ✔ | |
15 | Linear OOA(4162, 63, F4, 3, 117) (dual of [(63, 3), 27, 118]-NRT-code) | [i] | ✔ | |
16 | Linear OOA(4150, 63, F4, 3, 105) (dual of [(63, 3), 39, 106]-NRT-code) | [i] | ✔ | |
17 | Linear OOA(4166, 64, F4, 3, 119) (dual of [(64, 3), 26, 120]-NRT-code) | [i] | ✔ | |
18 | Linear OOA(4152, 64, F4, 3, 105) (dual of [(64, 3), 40, 106]-NRT-code) | [i] | ✔ | |
19 | Linear OOA(4178, 68, F4, 3, 124) (dual of [(68, 3), 26, 125]-NRT-code) | [i] | ✔ | |
20 | Linear OOA(4159, 68, F4, 3, 105) (dual of [(68, 3), 45, 106]-NRT-code) | [i] | ✔ | |
21 | Linear OOA(4180, 69, F4, 3, 125) (dual of [(69, 3), 27, 126]-NRT-code) | [i] | ✔ | |
22 | Linear OOA(4160, 69, F4, 3, 105) (dual of [(69, 3), 47, 106]-NRT-code) | [i] | ✔ | |
23 | Linear OOA(4183, 70, F4, 3, 126) (dual of [(70, 3), 27, 127]-NRT-code) | [i] | ✔ | |
24 | Linear OOA(4162, 70, F4, 3, 105) (dual of [(70, 3), 48, 106]-NRT-code) | [i] | ✔ | |
25 | Linear OOA(4186, 71, F4, 3, 127) (dual of [(71, 3), 27, 128]-NRT-code) | [i] | ✔ | |
26 | Linear OOA(4164, 71, F4, 3, 105) (dual of [(71, 3), 49, 106]-NRT-code) | [i] | ✔ | |
27 | Linear OOA(4190, 72, F4, 3, 129) (dual of [(72, 3), 26, 130]-NRT-code) | [i] | ✔ | |
28 | Linear OOA(4192, 73, F4, 3, 129) (dual of [(73, 3), 27, 130]-NRT-code) | [i] | ✔ | |
29 | Linear OOA(4166, 72, F4, 3, 105) (dual of [(72, 3), 50, 106]-NRT-code) | [i] | ✔ | |
30 | Linear OOA(4168, 73, F4, 3, 105) (dual of [(73, 3), 51, 106]-NRT-code) | [i] | ✔ | |
31 | Linear OOA(4228, 85, F4, 3, 157) (dual of [(85, 3), 27, 158]-NRT-code) | [i] | ✔ | |
32 | Linear OOA(4219, 82, F4, 3, 151) (dual of [(82, 3), 27, 152]-NRT-code) | [i] | ✔ | |
33 | Linear OOA(4204, 77, F4, 3, 137) (dual of [(77, 3), 27, 138]-NRT-code) | [i] | ✔ | |
34 | Linear OOA(4201, 76, F4, 3, 136) (dual of [(76, 3), 27, 137]-NRT-code) | [i] | ✔ | |
35 | Linear OOA(4170, 74, F4, 3, 105) (dual of [(74, 3), 52, 106]-NRT-code) | [i] | ✔ | |
36 | Linear OOA(4171, 75, F4, 3, 105) (dual of [(75, 3), 54, 106]-NRT-code) | [i] | ✔ | |
37 | Linear OOA(4173, 76, F4, 3, 105) (dual of [(76, 3), 55, 106]-NRT-code) | [i] | ✔ | |
38 | Linear OOA(4175, 77, F4, 3, 105) (dual of [(77, 3), 56, 106]-NRT-code) | [i] | ✔ | |
39 | Linear OOA(4177, 78, F4, 3, 105) (dual of [(78, 3), 57, 106]-NRT-code) | [i] | ✔ |