Information on Result #1033031
Linear OOA(4158, 55, F4, 3, 125) (dual of [(55, 3), 7, 126]-NRT-code), using algebraic-geometric NRT-code AG(3;F,39P) 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(4170, 63, F4, 3, 125) (dual of [(63, 3), 19, 126]-NRT-code) | [i] | ✔ | Construction X with Algebraic-Geometric NRT-Codes |
| 2 | Linear OOA(4172, 64, F4, 3, 125) (dual of [(64, 3), 20, 126]-NRT-code) | [i] | ✔ | |
| 3 | Linear OOA(4179, 68, F4, 3, 125) (dual of [(68, 3), 25, 126]-NRT-code) | [i] | ✔ | |
| 4 | Linear OOA(4180, 69, F4, 3, 125) (dual of [(69, 3), 27, 126]-NRT-code) | [i] | ✔ | |
| 5 | Linear OOA(4182, 70, F4, 3, 125) (dual of [(70, 3), 28, 126]-NRT-code) | [i] | ✔ | |
| 6 | Linear OOA(4184, 71, F4, 3, 125) (dual of [(71, 3), 29, 126]-NRT-code) | [i] | ✔ | |
| 7 | Linear OOA(4186, 72, F4, 3, 125) (dual of [(72, 3), 30, 126]-NRT-code) | [i] | ✔ | |
| 8 | Linear OOA(4188, 73, F4, 3, 125) (dual of [(73, 3), 31, 126]-NRT-code) | [i] | ✔ | |
| 9 | Linear OOA(4190, 74, F4, 3, 125) (dual of [(74, 3), 32, 126]-NRT-code) | [i] | ✔ | |
| 10 | Linear OOA(4191, 75, F4, 3, 125) (dual of [(75, 3), 34, 126]-NRT-code) | [i] | ✔ | |
| 11 | Linear OOA(4193, 76, F4, 3, 125) (dual of [(76, 3), 35, 126]-NRT-code) | [i] | ✔ | |
| 12 | Linear OOA(4195, 77, F4, 3, 125) (dual of [(77, 3), 36, 126]-NRT-code) | [i] | ✔ | |
| 13 | Linear OOA(4197, 78, F4, 3, 125) (dual of [(78, 3), 37, 126]-NRT-code) | [i] | ✔ | |