Information on Result #1032577
Linear OOA(4113, 55, F4, 3, 80) (dual of [(55, 3), 52, 81]-NRT-code), using algebraic-geometric NRT-code AG(3;F,84P) 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(4197, 75, F4, 3, 125) (dual of [(75, 3), 28, 126]-NRT-code) | [i] | Juxtaposition for OOAs | |
| 2 | Linear OOA(4122, 58, F4, 3, 85) (dual of [(58, 3), 52, 86]-NRT-code) | [i] | ✔ | Construction X with Algebraic-Geometric NRT-Codes |
| 3 | Linear OOA(4117, 58, F4, 3, 80) (dual of [(58, 3), 57, 81]-NRT-code) | [i] | ✔ | |
| 4 | Linear OOA(4126, 59, F4, 3, 87) (dual of [(59, 3), 51, 88]-NRT-code) | [i] | ✔ | |
| 5 | Linear OOA(4119, 59, F4, 3, 80) (dual of [(59, 3), 58, 81]-NRT-code) | [i] | ✔ | |
| 6 | Linear OOA(4128, 60, F4, 3, 88) (dual of [(60, 3), 52, 89]-NRT-code) | [i] | ✔ | |
| 7 | Linear OOA(4120, 60, F4, 3, 80) (dual of [(60, 3), 60, 81]-NRT-code) | [i] | ✔ | |
| 8 | Linear OOA(4131, 61, F4, 3, 89) (dual of [(61, 3), 52, 90]-NRT-code) | [i] | ✔ | |
| 9 | Linear OOA(4122, 61, F4, 3, 80) (dual of [(61, 3), 61, 81]-NRT-code) | [i] | ✔ | |
| 10 | Linear OOA(4135, 62, F4, 3, 91) (dual of [(62, 3), 51, 92]-NRT-code) | [i] | ✔ | |
| 11 | Linear OOA(4124, 62, F4, 3, 80) (dual of [(62, 3), 62, 81]-NRT-code) | [i] | ✔ | |
| 12 | Linear OOA(4137, 63, F4, 3, 92) (dual of [(63, 3), 52, 93]-NRT-code) | [i] | ✔ | |
| 13 | Linear OOA(4125, 63, F4, 3, 80) (dual of [(63, 3), 64, 81]-NRT-code) | [i] | ✔ | |
| 14 | Linear OOA(4141, 64, F4, 3, 94) (dual of [(64, 3), 51, 95]-NRT-code) | [i] | ✔ | |
| 15 | Linear OOA(4127, 64, F4, 3, 80) (dual of [(64, 3), 65, 81]-NRT-code) | [i] | ✔ | |
| 16 | Linear OOA(4153, 68, F4, 3, 99) (dual of [(68, 3), 51, 100]-NRT-code) | [i] | ✔ | |
| 17 | Linear OOA(4134, 68, F4, 3, 80) (dual of [(68, 3), 70, 81]-NRT-code) | [i] | ✔ | |
| 18 | Linear OOA(4155, 69, F4, 3, 100) (dual of [(69, 3), 52, 101]-NRT-code) | [i] | ✔ | |
| 19 | Linear OOA(4135, 69, F4, 3, 80) (dual of [(69, 3), 72, 81]-NRT-code) | [i] | ✔ | |
| 20 | Linear OOA(4158, 70, F4, 3, 101) (dual of [(70, 3), 52, 102]-NRT-code) | [i] | ✔ | |
| 21 | Linear OOA(4137, 70, F4, 3, 80) (dual of [(70, 3), 73, 81]-NRT-code) | [i] | ✔ | |
| 22 | Linear OOA(4161, 71, F4, 3, 102) (dual of [(71, 3), 52, 103]-NRT-code) | [i] | ✔ | |
| 23 | Linear OOA(4139, 71, F4, 3, 80) (dual of [(71, 3), 74, 81]-NRT-code) | [i] | ✔ | |
| 24 | Linear OOA(4165, 72, F4, 3, 104) (dual of [(72, 3), 51, 105]-NRT-code) | [i] | ✔ | |
| 25 | Linear OOA(4167, 73, F4, 3, 104) (dual of [(73, 3), 52, 105]-NRT-code) | [i] | ✔ | |
| 26 | Linear OOA(4141, 72, F4, 3, 80) (dual of [(72, 3), 75, 81]-NRT-code) | [i] | ✔ | |
| 27 | Linear OOA(4143, 73, F4, 3, 80) (dual of [(73, 3), 76, 81]-NRT-code) | [i] | ✔ | |
| 28 | Linear OOA(4171, 74, F4, 3, 106) (dual of [(74, 3), 51, 107]-NRT-code) | [i] | ✔ | |
| 29 | Linear OOA(4145, 74, F4, 3, 80) (dual of [(74, 3), 77, 81]-NRT-code) | [i] | ✔ | |
| 30 | Linear OOA(4173, 75, F4, 3, 107) (dual of [(75, 3), 52, 108]-NRT-code) | [i] | ✔ | |
| 31 | Linear OOA(4146, 75, F4, 3, 80) (dual of [(75, 3), 79, 81]-NRT-code) | [i] | ✔ | |
| 32 | Linear OOA(4177, 76, F4, 3, 109) (dual of [(76, 3), 51, 110]-NRT-code) | [i] | ✔ | |
| 33 | Linear OOA(4179, 77, F4, 3, 109) (dual of [(77, 3), 52, 110]-NRT-code) | [i] | ✔ | |
| 34 | Linear OOA(4148, 76, F4, 3, 80) (dual of [(76, 3), 80, 81]-NRT-code) | [i] | ✔ | |
| 35 | Linear OOA(4150, 77, F4, 3, 80) (dual of [(77, 3), 81, 81]-NRT-code) | [i] | ✔ | |
| 36 | Linear OOA(4182, 78, F4, 3, 110) (dual of [(78, 3), 52, 111]-NRT-code) | [i] | ✔ | |
| 37 | Linear OOA(4152, 78, F4, 3, 80) (dual of [(78, 3), 82, 81]-NRT-code) | [i] | ✔ | |