Information on Result #1032496
Linear OOA(4156, 55, F4, 3, 123) (dual of [(55, 3), 9, 124]-NRT-code), using algebraic-geometric NRT-code AG(3;F,41P) 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(4160, 58, F4, 3, 123) (dual of [(58, 3), 14, 124]-NRT-code) | [i] | ✔ | Construction X with Algebraic-Geometric NRT-Codes |
| 2 | Linear OOA(4163, 60, F4, 3, 123) (dual of [(60, 3), 17, 124]-NRT-code) | [i] | ✔ | |
| 3 | Linear OOA(4165, 61, F4, 3, 123) (dual of [(61, 3), 18, 124]-NRT-code) | [i] | ✔ | |
| 4 | Linear OOA(4167, 62, F4, 3, 123) (dual of [(62, 3), 19, 124]-NRT-code) | [i] | ✔ | |
| 5 | Linear OOA(4168, 63, F4, 3, 123) (dual of [(63, 3), 21, 124]-NRT-code) | [i] | ✔ | |
| 6 | Linear OOA(4170, 64, F4, 3, 123) (dual of [(64, 3), 22, 124]-NRT-code) | [i] | ✔ | |
| 7 | Linear OOA(4177, 68, F4, 3, 123) (dual of [(68, 3), 27, 124]-NRT-code) | [i] | ✔ | |
| 8 | Linear OOA(4178, 69, F4, 3, 123) (dual of [(69, 3), 29, 124]-NRT-code) | [i] | ✔ | |
| 9 | Linear OOA(4180, 70, F4, 3, 123) (dual of [(70, 3), 30, 124]-NRT-code) | [i] | ✔ | |
| 10 | Linear OOA(4182, 71, F4, 3, 123) (dual of [(71, 3), 31, 124]-NRT-code) | [i] | ✔ | |
| 11 | Linear OOA(4184, 72, F4, 3, 123) (dual of [(72, 3), 32, 124]-NRT-code) | [i] | ✔ | |
| 12 | Linear OOA(4186, 73, F4, 3, 123) (dual of [(73, 3), 33, 124]-NRT-code) | [i] | ✔ | |
| 13 | Linear OOA(4188, 74, F4, 3, 123) (dual of [(74, 3), 34, 124]-NRT-code) | [i] | ✔ | |
| 14 | Linear OOA(4189, 75, F4, 3, 123) (dual of [(75, 3), 36, 124]-NRT-code) | [i] | ✔ | |
| 15 | Linear OOA(4191, 76, F4, 3, 123) (dual of [(76, 3), 37, 124]-NRT-code) | [i] | ✔ | |
| 16 | Linear OOA(4193, 77, F4, 3, 123) (dual of [(77, 3), 38, 124]-NRT-code) | [i] | ✔ | |
| 17 | Linear OOA(4195, 78, F4, 3, 123) (dual of [(78, 3), 39, 124]-NRT-code) | [i] | ✔ | |