Information on Result #1032601
Linear OOA(4101, 55, F4, 3, 68) (dual of [(55, 3), 64, 69]-NRT-code), using algebraic-geometric NRT-code AG(3;F,96P) 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(4110, 58, F4, 3, 73) (dual of [(58, 3), 64, 74]-NRT-code) | [i] | ✔ | Construction X with Algebraic-Geometric NRT-Codes |
| 2 | Linear OOA(4105, 58, F4, 3, 68) (dual of [(58, 3), 69, 69]-NRT-code) | [i] | ✔ | |
| 3 | Linear OOA(4114, 59, F4, 3, 75) (dual of [(59, 3), 63, 76]-NRT-code) | [i] | ✔ | |
| 4 | Linear OOA(4107, 59, F4, 3, 68) (dual of [(59, 3), 70, 69]-NRT-code) | [i] | ✔ | |
| 5 | Linear OOA(4116, 60, F4, 3, 76) (dual of [(60, 3), 64, 77]-NRT-code) | [i] | ✔ | |
| 6 | Linear OOA(4108, 60, F4, 3, 68) (dual of [(60, 3), 72, 69]-NRT-code) | [i] | ✔ | |
| 7 | Linear OOA(4119, 61, F4, 3, 77) (dual of [(61, 3), 64, 78]-NRT-code) | [i] | ✔ | |
| 8 | Linear OOA(4110, 61, F4, 3, 68) (dual of [(61, 3), 73, 69]-NRT-code) | [i] | ✔ | |
| 9 | Linear OOA(4123, 62, F4, 3, 79) (dual of [(62, 3), 63, 80]-NRT-code) | [i] | ✔ | |
| 10 | Linear OOA(4112, 62, F4, 3, 68) (dual of [(62, 3), 74, 69]-NRT-code) | [i] | ✔ | |
| 11 | Linear OOA(4125, 63, F4, 3, 80) (dual of [(63, 3), 64, 81]-NRT-code) | [i] | ✔ | |
| 12 | Linear OOA(4113, 63, F4, 3, 68) (dual of [(63, 3), 76, 69]-NRT-code) | [i] | ✔ | |
| 13 | Linear OOA(4129, 64, F4, 3, 82) (dual of [(64, 3), 63, 83]-NRT-code) | [i] | ✔ | |
| 14 | Linear OOA(4115, 64, F4, 3, 68) (dual of [(64, 3), 77, 69]-NRT-code) | [i] | ✔ | |
| 15 | Linear OOA(4141, 68, F4, 3, 87) (dual of [(68, 3), 63, 88]-NRT-code) | [i] | ✔ | |
| 16 | Linear OOA(4122, 68, F4, 3, 68) (dual of [(68, 3), 82, 69]-NRT-code) | [i] | ✔ | |
| 17 | Linear OOA(4143, 69, F4, 3, 88) (dual of [(69, 3), 64, 89]-NRT-code) | [i] | ✔ | |
| 18 | Linear OOA(4123, 69, F4, 3, 68) (dual of [(69, 3), 84, 69]-NRT-code) | [i] | ✔ | |
| 19 | Linear OOA(4146, 70, F4, 3, 89) (dual of [(70, 3), 64, 90]-NRT-code) | [i] | ✔ | |
| 20 | Linear OOA(4125, 70, F4, 3, 68) (dual of [(70, 3), 85, 69]-NRT-code) | [i] | ✔ | |
| 21 | Linear OOA(4149, 71, F4, 3, 90) (dual of [(71, 3), 64, 91]-NRT-code) | [i] | ✔ | |
| 22 | Linear OOA(4127, 71, F4, 3, 68) (dual of [(71, 3), 86, 69]-NRT-code) | [i] | ✔ | |
| 23 | Linear OOA(4153, 72, F4, 3, 92) (dual of [(72, 3), 63, 93]-NRT-code) | [i] | ✔ | |
| 24 | Linear OOA(4155, 73, F4, 3, 92) (dual of [(73, 3), 64, 93]-NRT-code) | [i] | ✔ | |
| 25 | Linear OOA(4129, 72, F4, 3, 68) (dual of [(72, 3), 87, 69]-NRT-code) | [i] | ✔ | |
| 26 | Linear OOA(4131, 73, F4, 3, 68) (dual of [(73, 3), 88, 69]-NRT-code) | [i] | ✔ | |
| 27 | Linear OOA(4159, 74, F4, 3, 94) (dual of [(74, 3), 63, 95]-NRT-code) | [i] | ✔ | |
| 28 | Linear OOA(4133, 74, F4, 3, 68) (dual of [(74, 3), 89, 69]-NRT-code) | [i] | ✔ | |
| 29 | Linear OOA(4161, 75, F4, 3, 95) (dual of [(75, 3), 64, 96]-NRT-code) | [i] | ✔ | |
| 30 | Linear OOA(4134, 75, F4, 3, 68) (dual of [(75, 3), 91, 69]-NRT-code) | [i] | ✔ | |
| 31 | Linear OOA(4165, 76, F4, 3, 97) (dual of [(76, 3), 63, 98]-NRT-code) | [i] | ✔ | |
| 32 | Linear OOA(4167, 77, F4, 3, 97) (dual of [(77, 3), 64, 98]-NRT-code) | [i] | ✔ | |
| 33 | Linear OOA(4136, 76, F4, 3, 68) (dual of [(76, 3), 92, 69]-NRT-code) | [i] | ✔ | |
| 34 | Linear OOA(4138, 77, F4, 3, 68) (dual of [(77, 3), 93, 69]-NRT-code) | [i] | ✔ | |
| 35 | Linear OOA(4170, 78, F4, 3, 98) (dual of [(78, 3), 64, 99]-NRT-code) | [i] | ✔ | |
| 36 | Linear OOA(4140, 78, F4, 3, 68) (dual of [(78, 3), 94, 69]-NRT-code) | [i] | ✔ | |