Information on Result #1032615
Linear OOA(494, 55, F4, 3, 61) (dual of [(55, 3), 71, 62]-NRT-code), using algebraic-geometric NRT-code AG(3;F,103P) 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(4103, 58, F4, 3, 66) (dual of [(58, 3), 71, 67]-NRT-code) | [i] | ✔ | Construction X with Algebraic-Geometric NRT-Codes |
| 2 | Linear OOA(498, 58, F4, 3, 61) (dual of [(58, 3), 76, 62]-NRT-code) | [i] | ✔ | |
| 3 | Linear OOA(4107, 59, F4, 3, 68) (dual of [(59, 3), 70, 69]-NRT-code) | [i] | ✔ | |
| 4 | Linear OOA(4100, 59, F4, 3, 61) (dual of [(59, 3), 77, 62]-NRT-code) | [i] | ✔ | |
| 5 | Linear OOA(4109, 60, F4, 3, 69) (dual of [(60, 3), 71, 70]-NRT-code) | [i] | ✔ | |
| 6 | Linear OOA(4101, 60, F4, 3, 61) (dual of [(60, 3), 79, 62]-NRT-code) | [i] | ✔ | |
| 7 | Linear OOA(4112, 61, F4, 3, 70) (dual of [(61, 3), 71, 71]-NRT-code) | [i] | ✔ | |
| 8 | Linear OOA(4103, 61, F4, 3, 61) (dual of [(61, 3), 80, 62]-NRT-code) | [i] | ✔ | |
| 9 | Linear OOA(4116, 62, F4, 3, 72) (dual of [(62, 3), 70, 73]-NRT-code) | [i] | ✔ | |
| 10 | Linear OOA(4105, 62, F4, 3, 61) (dual of [(62, 3), 81, 62]-NRT-code) | [i] | ✔ | |
| 11 | Linear OOA(4118, 63, F4, 3, 73) (dual of [(63, 3), 71, 74]-NRT-code) | [i] | ✔ | |
| 12 | Linear OOA(4106, 63, F4, 3, 61) (dual of [(63, 3), 83, 62]-NRT-code) | [i] | ✔ | |
| 13 | Linear OOA(4122, 64, F4, 3, 75) (dual of [(64, 3), 70, 76]-NRT-code) | [i] | ✔ | |
| 14 | Linear OOA(4108, 64, F4, 3, 61) (dual of [(64, 3), 84, 62]-NRT-code) | [i] | ✔ | |
| 15 | Linear OOA(4134, 68, F4, 3, 80) (dual of [(68, 3), 70, 81]-NRT-code) | [i] | ✔ | |
| 16 | Linear OOA(4115, 68, F4, 3, 61) (dual of [(68, 3), 89, 62]-NRT-code) | [i] | ✔ | |
| 17 | Linear OOA(4136, 69, F4, 3, 81) (dual of [(69, 3), 71, 82]-NRT-code) | [i] | ✔ | |
| 18 | Linear OOA(4116, 69, F4, 3, 61) (dual of [(69, 3), 91, 62]-NRT-code) | [i] | ✔ | |
| 19 | Linear OOA(4139, 70, F4, 3, 82) (dual of [(70, 3), 71, 83]-NRT-code) | [i] | ✔ | |
| 20 | Linear OOA(4118, 70, F4, 3, 61) (dual of [(70, 3), 92, 62]-NRT-code) | [i] | ✔ | |
| 21 | Linear OOA(4142, 71, F4, 3, 83) (dual of [(71, 3), 71, 84]-NRT-code) | [i] | ✔ | |
| 22 | Linear OOA(4120, 71, F4, 3, 61) (dual of [(71, 3), 93, 62]-NRT-code) | [i] | ✔ | |
| 23 | Linear OOA(4146, 72, F4, 3, 85) (dual of [(72, 3), 70, 86]-NRT-code) | [i] | ✔ | |
| 24 | Linear OOA(4148, 73, F4, 3, 85) (dual of [(73, 3), 71, 86]-NRT-code) | [i] | ✔ | |
| 25 | Linear OOA(4122, 72, F4, 3, 61) (dual of [(72, 3), 94, 62]-NRT-code) | [i] | ✔ | |
| 26 | Linear OOA(4124, 73, F4, 3, 61) (dual of [(73, 3), 95, 62]-NRT-code) | [i] | ✔ | |
| 27 | Linear OOA(4152, 74, F4, 3, 87) (dual of [(74, 3), 70, 88]-NRT-code) | [i] | ✔ | |
| 28 | Linear OOA(4126, 74, F4, 3, 61) (dual of [(74, 3), 96, 62]-NRT-code) | [i] | ✔ | |
| 29 | Linear OOA(4154, 75, F4, 3, 88) (dual of [(75, 3), 71, 89]-NRT-code) | [i] | ✔ | |
| 30 | Linear OOA(4127, 75, F4, 3, 61) (dual of [(75, 3), 98, 62]-NRT-code) | [i] | ✔ | |
| 31 | Linear OOA(4158, 76, F4, 3, 90) (dual of [(76, 3), 70, 91]-NRT-code) | [i] | ✔ | |
| 32 | Linear OOA(4160, 77, F4, 3, 90) (dual of [(77, 3), 71, 91]-NRT-code) | [i] | ✔ | |
| 33 | Linear OOA(4163, 78, F4, 3, 91) (dual of [(78, 3), 71, 92]-NRT-code) | [i] | ✔ | |