Information on Result #1033234
Linear OOA(4161, 55, F4, 3, 128) (dual of [(55, 3), 4, 129]-NRT-code), using algebraic-geometric NRT-code AG(3;F,36P) 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(4182, 68, F4, 3, 128) (dual of [(68, 3), 22, 129]-NRT-code) | [i] | ✔ | Construction X with Algebraic-Geometric NRT-Codes |
| 2 | Linear OOA(4183, 69, F4, 3, 128) (dual of [(69, 3), 24, 129]-NRT-code) | [i] | ✔ | |
| 3 | Linear OOA(4185, 70, F4, 3, 128) (dual of [(70, 3), 25, 129]-NRT-code) | [i] | ✔ | |
| 4 | Linear OOA(4187, 71, F4, 3, 128) (dual of [(71, 3), 26, 129]-NRT-code) | [i] | ✔ | |
| 5 | Linear OOA(4189, 72, F4, 3, 128) (dual of [(72, 3), 27, 129]-NRT-code) | [i] | ✔ | |
| 6 | Linear OOA(4191, 73, F4, 3, 128) (dual of [(73, 3), 28, 129]-NRT-code) | [i] | ✔ | |
| 7 | Linear OOA(4193, 74, F4, 3, 128) (dual of [(74, 3), 29, 129]-NRT-code) | [i] | ✔ | |
| 8 | Linear OOA(4194, 75, F4, 3, 128) (dual of [(75, 3), 31, 129]-NRT-code) | [i] | ✔ | |
| 9 | Linear OOA(4196, 76, F4, 3, 128) (dual of [(76, 3), 32, 129]-NRT-code) | [i] | ✔ | |
| 10 | Linear OOA(4198, 77, F4, 3, 128) (dual of [(77, 3), 33, 129]-NRT-code) | [i] | ✔ | |
| 11 | Linear OOA(4200, 78, F4, 3, 128) (dual of [(78, 3), 34, 129]-NRT-code) | [i] | ✔ | |