Information on Result #1031825
Linear OOA(474, 29, F4, 3, 61) (dual of [(29, 3), 13, 62]-NRT-code), using algebraic-geometric NRT-code AG(3;F,25P) based on function field F/F4 with g(F) = 13 and N(F) ≥ 30, using
- F4 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(4161, 58, F4, 3, 123) (dual of [(58, 3), 13, 124]-NRT-code) | [i] | Repeating Each Code Word for NRT-Codes | |
| 2 | Linear OOA(4248, 87, F4, 3, 185) (dual of [(87, 3), 13, 186]-NRT-code) | [i] | ||
| 3 | Linear OOA(4173, 62, F4, 3, 133) (dual of [(62, 3), 13, 134]-NRT-code) | [i] | Juxtaposition for OOAs | |
| 4 | Linear OOA(4242, 85, F4, 3, 184) (dual of [(85, 3), 13, 185]-NRT-code) | [i] | ||
| 5 | Linear OOA(486, 37, F4, 3, 61) (dual of [(37, 3), 25, 62]-NRT-code) | [i] | ✔ | Construction X with Algebraic-Geometric NRT-Codes |
| 6 | Linear OOA(488, 38, F4, 3, 61) (dual of [(38, 3), 26, 62]-NRT-code) | [i] | ✔ | |
| 7 | Linear OOA(490, 39, F4, 3, 61) (dual of [(39, 3), 27, 62]-NRT-code) | [i] | ✔ | |
| 8 | Linear OOA(492, 40, F4, 3, 61) (dual of [(40, 3), 28, 62]-NRT-code) | [i] | ✔ | |
| 9 | Linear OOA(493, 41, F4, 3, 61) (dual of [(41, 3), 30, 62]-NRT-code) | [i] | ✔ | |