Information on Result #1034101
Linear OOA(4171, 65, F4, 3, 122) (dual of [(65, 3), 24, 123]-NRT-code), using algebraic-geometric NRT-code AG(3;F,72P) based on function field F/F4 with g(F) = 49 and N(F) ≥ 66, using
- T6 from the second 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(4180, 68, F4, 3, 127) (dual of [(68, 3), 24, 128]-NRT-code) | [i] | ✔ | Construction X with Algebraic-Geometric NRT-Codes |
| 2 | Linear OOA(4175, 68, F4, 3, 122) (dual of [(68, 3), 29, 123]-NRT-code) | [i] | ✔ | |
| 3 | Linear OOA(4186, 70, F4, 3, 130) (dual of [(70, 3), 24, 131]-NRT-code) | [i] | ✔ | |
| 4 | Linear OOA(4178, 70, F4, 3, 122) (dual of [(70, 3), 32, 123]-NRT-code) | [i] | ✔ | |
| 5 | Linear OOA(4189, 71, F4, 3, 131) (dual of [(71, 3), 24, 132]-NRT-code) | [i] | ✔ | |
| 6 | Linear OOA(4180, 71, F4, 3, 122) (dual of [(71, 3), 33, 123]-NRT-code) | [i] | ✔ | |
| 7 | Linear OOA(4182, 72, F4, 3, 122) (dual of [(72, 3), 34, 123]-NRT-code) | [i] | ✔ | |
| 8 | Linear OOA(4195, 73, F4, 3, 134) (dual of [(73, 3), 24, 135]-NRT-code) | [i] | ✔ | |
| 9 | Linear OOA(4183, 73, F4, 3, 122) (dual of [(73, 3), 36, 123]-NRT-code) | [i] | ✔ | |
| 10 | Linear OOA(4185, 74, F4, 3, 122) (dual of [(74, 3), 37, 123]-NRT-code) | [i] | ✔ | |
| 11 | Linear OOA(4187, 75, F4, 3, 122) (dual of [(75, 3), 38, 123]-NRT-code) | [i] | ✔ | |
| 12 | Linear OOA(4189, 76, F4, 3, 122) (dual of [(76, 3), 39, 123]-NRT-code) | [i] | ✔ | |
| 13 | Linear OOA(4190, 77, F4, 3, 122) (dual of [(77, 3), 41, 123]-NRT-code) | [i] | ✔ | |
| 14 | Linear OOA(4192, 78, F4, 3, 122) (dual of [(78, 3), 42, 123]-NRT-code) | [i] | ✔ | |
| 15 | Linear OOA(4193, 79, F4, 3, 122) (dual of [(79, 3), 44, 123]-NRT-code) | [i] | ✔ | |