Information on Result #1034137
Linear OOA(4153, 65, F4, 3, 104) (dual of [(65, 3), 42, 105]-NRT-code), using algebraic-geometric NRT-code AG(3;F,90P) 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(4162, 68, F4, 3, 109) (dual of [(68, 3), 42, 110]-NRT-code) | [i] | ✔ | Construction X with Algebraic-Geometric NRT-Codes |
| 2 | Linear OOA(4157, 68, F4, 3, 104) (dual of [(68, 3), 47, 105]-NRT-code) | [i] | ✔ | |
| 3 | Linear OOA(4168, 70, F4, 3, 112) (dual of [(70, 3), 42, 113]-NRT-code) | [i] | ✔ | |
| 4 | Linear OOA(4160, 70, F4, 3, 104) (dual of [(70, 3), 50, 105]-NRT-code) | [i] | ✔ | |
| 5 | Linear OOA(4171, 71, F4, 3, 113) (dual of [(71, 3), 42, 114]-NRT-code) | [i] | ✔ | |
| 6 | Linear OOA(4162, 71, F4, 3, 104) (dual of [(71, 3), 51, 105]-NRT-code) | [i] | ✔ | |
| 7 | Linear OOA(4175, 72, F4, 3, 115) (dual of [(72, 3), 41, 116]-NRT-code) | [i] | ✔ | |
| 8 | Linear OOA(4164, 72, F4, 3, 104) (dual of [(72, 3), 52, 105]-NRT-code) | [i] | ✔ | |
| 9 | Linear OOA(4177, 73, F4, 3, 116) (dual of [(73, 3), 42, 117]-NRT-code) | [i] | ✔ | |
| 10 | Linear OOA(4165, 73, F4, 3, 104) (dual of [(73, 3), 54, 105]-NRT-code) | [i] | ✔ | |
| 11 | Linear OOA(4181, 74, F4, 3, 118) (dual of [(74, 3), 41, 119]-NRT-code) | [i] | ✔ | |
| 12 | Linear OOA(4167, 74, F4, 3, 104) (dual of [(74, 3), 55, 105]-NRT-code) | [i] | ✔ | |
| 13 | Linear OOA(4184, 75, F4, 3, 119) (dual of [(75, 3), 41, 120]-NRT-code) | [i] | ✔ | |
| 14 | Linear OOA(4169, 75, F4, 3, 104) (dual of [(75, 3), 56, 105]-NRT-code) | [i] | ✔ | |
| 15 | Linear OOA(4187, 76, F4, 3, 120) (dual of [(76, 3), 41, 121]-NRT-code) | [i] | ✔ | |
| 16 | Linear OOA(4171, 76, F4, 3, 104) (dual of [(76, 3), 57, 105]-NRT-code) | [i] | ✔ | |
| 17 | Linear OOA(4189, 77, F4, 3, 121) (dual of [(77, 3), 42, 122]-NRT-code) | [i] | ✔ | |
| 18 | Linear OOA(4172, 77, F4, 3, 104) (dual of [(77, 3), 59, 105]-NRT-code) | [i] | ✔ | |
| 19 | Linear OOA(4193, 78, F4, 3, 123) (dual of [(78, 3), 41, 124]-NRT-code) | [i] | ✔ | |
| 20 | Linear OOA(4174, 78, F4, 3, 104) (dual of [(78, 3), 60, 105]-NRT-code) | [i] | ✔ | |
| 21 | Linear OOA(4195, 79, F4, 3, 124) (dual of [(79, 3), 42, 125]-NRT-code) | [i] | ✔ | |
| 22 | Linear OOA(4175, 79, F4, 3, 104) (dual of [(79, 3), 62, 105]-NRT-code) | [i] | ✔ | |