Information on Result #1032571
Linear OOA(4116, 55, F4, 3, 83) (dual of [(55, 3), 49, 84]-NRT-code), using algebraic-geometric NRT-code AG(3;F,81P) 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(4200, 76, F4, 3, 128) (dual of [(76, 3), 28, 129]-NRT-code) | [i] | Juxtaposition for OOAs | |
| 2 | Linear OOA(4125, 58, F4, 3, 88) (dual of [(58, 3), 49, 89]-NRT-code) | [i] | ✔ | Construction X with Algebraic-Geometric NRT-Codes |
| 3 | Linear OOA(4120, 58, F4, 3, 83) (dual of [(58, 3), 54, 84]-NRT-code) | [i] | ✔ | |
| 4 | Linear OOA(4129, 59, F4, 3, 90) (dual of [(59, 3), 48, 91]-NRT-code) | [i] | ✔ | |
| 5 | Linear OOA(4122, 59, F4, 3, 83) (dual of [(59, 3), 55, 84]-NRT-code) | [i] | ✔ | |
| 6 | Linear OOA(4131, 60, F4, 3, 91) (dual of [(60, 3), 49, 92]-NRT-code) | [i] | ✔ | |
| 7 | Linear OOA(4123, 60, F4, 3, 83) (dual of [(60, 3), 57, 84]-NRT-code) | [i] | ✔ | |
| 8 | Linear OOA(4134, 61, F4, 3, 92) (dual of [(61, 3), 49, 93]-NRT-code) | [i] | ✔ | |
| 9 | Linear OOA(4125, 61, F4, 3, 83) (dual of [(61, 3), 58, 84]-NRT-code) | [i] | ✔ | |
| 10 | Linear OOA(4138, 62, F4, 3, 94) (dual of [(62, 3), 48, 95]-NRT-code) | [i] | ✔ | |
| 11 | Linear OOA(4127, 62, F4, 3, 83) (dual of [(62, 3), 59, 84]-NRT-code) | [i] | ✔ | |
| 12 | Linear OOA(4140, 63, F4, 3, 95) (dual of [(63, 3), 49, 96]-NRT-code) | [i] | ✔ | |
| 13 | Linear OOA(4128, 63, F4, 3, 83) (dual of [(63, 3), 61, 84]-NRT-code) | [i] | ✔ | |
| 14 | Linear OOA(4144, 64, F4, 3, 97) (dual of [(64, 3), 48, 98]-NRT-code) | [i] | ✔ | |
| 15 | Linear OOA(4130, 64, F4, 3, 83) (dual of [(64, 3), 62, 84]-NRT-code) | [i] | ✔ | |
| 16 | Linear OOA(4156, 68, F4, 3, 102) (dual of [(68, 3), 48, 103]-NRT-code) | [i] | ✔ | |
| 17 | Linear OOA(4137, 68, F4, 3, 83) (dual of [(68, 3), 67, 84]-NRT-code) | [i] | ✔ | |
| 18 | Linear OOA(4158, 69, F4, 3, 103) (dual of [(69, 3), 49, 104]-NRT-code) | [i] | ✔ | |
| 19 | Linear OOA(4138, 69, F4, 3, 83) (dual of [(69, 3), 69, 84]-NRT-code) | [i] | ✔ | |
| 20 | Linear OOA(4161, 70, F4, 3, 104) (dual of [(70, 3), 49, 105]-NRT-code) | [i] | ✔ | |
| 21 | Linear OOA(4140, 70, F4, 3, 83) (dual of [(70, 3), 70, 84]-NRT-code) | [i] | ✔ | |
| 22 | Linear OOA(4164, 71, F4, 3, 105) (dual of [(71, 3), 49, 106]-NRT-code) | [i] | ✔ | |
| 23 | Linear OOA(4142, 71, F4, 3, 83) (dual of [(71, 3), 71, 84]-NRT-code) | [i] | ✔ | |
| 24 | Linear OOA(4168, 72, F4, 3, 107) (dual of [(72, 3), 48, 108]-NRT-code) | [i] | ✔ | |
| 25 | Linear OOA(4170, 73, F4, 3, 107) (dual of [(73, 3), 49, 108]-NRT-code) | [i] | ✔ | |
| 26 | Linear OOA(4144, 72, F4, 3, 83) (dual of [(72, 3), 72, 84]-NRT-code) | [i] | ✔ | |
| 27 | Linear OOA(4146, 73, F4, 3, 83) (dual of [(73, 3), 73, 84]-NRT-code) | [i] | ✔ | |
| 28 | Linear OOA(4174, 74, F4, 3, 109) (dual of [(74, 3), 48, 110]-NRT-code) | [i] | ✔ | |
| 29 | Linear OOA(4148, 74, F4, 3, 83) (dual of [(74, 3), 74, 84]-NRT-code) | [i] | ✔ | |
| 30 | Linear OOA(4176, 75, F4, 3, 110) (dual of [(75, 3), 49, 111]-NRT-code) | [i] | ✔ | |
| 31 | Linear OOA(4149, 75, F4, 3, 83) (dual of [(75, 3), 76, 84]-NRT-code) | [i] | ✔ | |
| 32 | Linear OOA(4180, 76, F4, 3, 112) (dual of [(76, 3), 48, 113]-NRT-code) | [i] | ✔ | |
| 33 | Linear OOA(4182, 77, F4, 3, 112) (dual of [(77, 3), 49, 113]-NRT-code) | [i] | ✔ | |
| 34 | Linear OOA(4151, 76, F4, 3, 83) (dual of [(76, 3), 77, 84]-NRT-code) | [i] | ✔ | |
| 35 | Linear OOA(4153, 77, F4, 3, 83) (dual of [(77, 3), 78, 84]-NRT-code) | [i] | ✔ | |
| 36 | Linear OOA(4185, 78, F4, 3, 113) (dual of [(78, 3), 49, 114]-NRT-code) | [i] | ✔ | |
| 37 | Linear OOA(4155, 78, F4, 3, 83) (dual of [(78, 3), 79, 84]-NRT-code) | [i] | ✔ | |