Information on Result #1032605
Linear OOA(499, 55, F4, 3, 66) (dual of [(55, 3), 66, 67]-NRT-code), using algebraic-geometric NRT-code AG(3;F,98P) 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(4108, 58, F4, 3, 71) (dual of [(58, 3), 66, 72]-NRT-code) | [i] | ✔ | Construction X with Algebraic-Geometric NRT-Codes |
2 | Linear OOA(4103, 58, F4, 3, 66) (dual of [(58, 3), 71, 67]-NRT-code) | [i] | ✔ | |
3 | Linear OOA(4112, 59, F4, 3, 73) (dual of [(59, 3), 65, 74]-NRT-code) | [i] | ✔ | |
4 | Linear OOA(4105, 59, F4, 3, 66) (dual of [(59, 3), 72, 67]-NRT-code) | [i] | ✔ | |
5 | Linear OOA(4114, 60, F4, 3, 74) (dual of [(60, 3), 66, 75]-NRT-code) | [i] | ✔ | |
6 | Linear OOA(4106, 60, F4, 3, 66) (dual of [(60, 3), 74, 67]-NRT-code) | [i] | ✔ | |
7 | Linear OOA(4117, 61, F4, 3, 75) (dual of [(61, 3), 66, 76]-NRT-code) | [i] | ✔ | |
8 | Linear OOA(4108, 61, F4, 3, 66) (dual of [(61, 3), 75, 67]-NRT-code) | [i] | ✔ | |
9 | Linear OOA(4121, 62, F4, 3, 77) (dual of [(62, 3), 65, 78]-NRT-code) | [i] | ✔ | |
10 | Linear OOA(4110, 62, F4, 3, 66) (dual of [(62, 3), 76, 67]-NRT-code) | [i] | ✔ | |
11 | Linear OOA(4123, 63, F4, 3, 78) (dual of [(63, 3), 66, 79]-NRT-code) | [i] | ✔ | |
12 | Linear OOA(4111, 63, F4, 3, 66) (dual of [(63, 3), 78, 67]-NRT-code) | [i] | ✔ | |
13 | Linear OOA(4127, 64, F4, 3, 80) (dual of [(64, 3), 65, 81]-NRT-code) | [i] | ✔ | |
14 | Linear OOA(4113, 64, F4, 3, 66) (dual of [(64, 3), 79, 67]-NRT-code) | [i] | ✔ | |
15 | Linear OOA(4139, 68, F4, 3, 85) (dual of [(68, 3), 65, 86]-NRT-code) | [i] | ✔ | |
16 | Linear OOA(4120, 68, F4, 3, 66) (dual of [(68, 3), 84, 67]-NRT-code) | [i] | ✔ | |
17 | Linear OOA(4141, 69, F4, 3, 86) (dual of [(69, 3), 66, 87]-NRT-code) | [i] | ✔ | |
18 | Linear OOA(4121, 69, F4, 3, 66) (dual of [(69, 3), 86, 67]-NRT-code) | [i] | ✔ | |
19 | Linear OOA(4144, 70, F4, 3, 87) (dual of [(70, 3), 66, 88]-NRT-code) | [i] | ✔ | |
20 | Linear OOA(4123, 70, F4, 3, 66) (dual of [(70, 3), 87, 67]-NRT-code) | [i] | ✔ | |
21 | Linear OOA(4147, 71, F4, 3, 88) (dual of [(71, 3), 66, 89]-NRT-code) | [i] | ✔ | |
22 | Linear OOA(4125, 71, F4, 3, 66) (dual of [(71, 3), 88, 67]-NRT-code) | [i] | ✔ | |
23 | Linear OOA(4151, 72, F4, 3, 90) (dual of [(72, 3), 65, 91]-NRT-code) | [i] | ✔ | |
24 | Linear OOA(4153, 73, F4, 3, 90) (dual of [(73, 3), 66, 91]-NRT-code) | [i] | ✔ | |
25 | Linear OOA(4127, 72, F4, 3, 66) (dual of [(72, 3), 89, 67]-NRT-code) | [i] | ✔ | |
26 | Linear OOA(4129, 73, F4, 3, 66) (dual of [(73, 3), 90, 67]-NRT-code) | [i] | ✔ | |
27 | Linear OOA(4157, 74, F4, 3, 92) (dual of [(74, 3), 65, 93]-NRT-code) | [i] | ✔ | |
28 | Linear OOA(4131, 74, F4, 3, 66) (dual of [(74, 3), 91, 67]-NRT-code) | [i] | ✔ | |
29 | Linear OOA(4159, 75, F4, 3, 93) (dual of [(75, 3), 66, 94]-NRT-code) | [i] | ✔ | |
30 | Linear OOA(4132, 75, F4, 3, 66) (dual of [(75, 3), 93, 67]-NRT-code) | [i] | ✔ | |
31 | Linear OOA(4163, 76, F4, 3, 95) (dual of [(76, 3), 65, 96]-NRT-code) | [i] | ✔ | |
32 | Linear OOA(4165, 77, F4, 3, 95) (dual of [(77, 3), 66, 96]-NRT-code) | [i] | ✔ | |
33 | Linear OOA(4134, 76, F4, 3, 66) (dual of [(76, 3), 94, 67]-NRT-code) | [i] | ✔ | |
34 | Linear OOA(4136, 77, F4, 3, 66) (dual of [(77, 3), 95, 67]-NRT-code) | [i] | ✔ | |
35 | Linear OOA(4168, 78, F4, 3, 96) (dual of [(78, 3), 66, 97]-NRT-code) | [i] | ✔ | |
36 | Linear OOA(4138, 78, F4, 3, 66) (dual of [(78, 3), 96, 67]-NRT-code) | [i] | ✔ |