Information on Result #995152
Linear OOA(421, 9, F4, 3, 20) (dual of [(9, 3), 6, 21]-NRT-code), using extended algebraic-geometric NRT-code AGe(3;F,6P) based on function field F/F4 with g(F) = 1 and N(F) ≥ 9, using
- the Hermitian function field 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(4102, 36, F4, 3, 83) (dual of [(36, 3), 6, 84]-NRT-code) | [i] | Repeating Each Code Word for NRT-Codes | |
| 2 | Linear OOA(4129, 45, F4, 3, 104) (dual of [(45, 3), 6, 105]-NRT-code) | [i] | ||
| 3 | Linear OOA(4156, 54, F4, 3, 125) (dual of [(54, 3), 6, 126]-NRT-code) | [i] | ||
| 4 | Linear OOA(4183, 63, F4, 3, 146) (dual of [(63, 3), 6, 147]-NRT-code) | [i] | ||
| 5 | Linear OOA(4210, 72, F4, 3, 167) (dual of [(72, 3), 6, 168]-NRT-code) | [i] | ||
| 6 | Linear OOA(4237, 81, F4, 3, 188) (dual of [(81, 3), 6, 189]-NRT-code) | [i] | ||
| 7 | Linear OOA(445, 16, F4, 3, 41) (dual of [(16, 3), 3, 42]-NRT-code) | [i] | ||
| 8 | Linear OOA(469, 24, F4, 3, 62) (dual of [(24, 3), 3, 63]-NRT-code) | [i] | ||
| 9 | Linear OOA(493, 32, F4, 3, 83) (dual of [(32, 3), 3, 84]-NRT-code) | [i] | ||
| 10 | Linear OOA(4117, 40, F4, 3, 104) (dual of [(40, 3), 3, 105]-NRT-code) | [i] | ||
| 11 | Linear OOA(4141, 48, F4, 3, 125) (dual of [(48, 3), 3, 126]-NRT-code) | [i] | ||
| 12 | Linear OOA(4165, 56, F4, 3, 146) (dual of [(56, 3), 3, 147]-NRT-code) | [i] | ||
| 13 | Linear OOA(4189, 64, F4, 3, 167) (dual of [(64, 3), 3, 168]-NRT-code) | [i] | ||
| 14 | Linear OOA(4213, 72, F4, 3, 188) (dual of [(72, 3), 3, 189]-NRT-code) | [i] | ||
| 15 | Linear OOA(4237, 80, F4, 3, 209) (dual of [(80, 3), 3, 210]-NRT-code) | [i] | ||
| 16 | Linear OOA(4113, 139, F4, 3, 40) (dual of [(139, 3), 304, 41]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 17 | Linear OOA(4115, 139, F4, 3, 41) (dual of [(139, 3), 302, 42]-NRT-code) | [i] | ||
| 18 | Linear OOA(4101, 36, F4, 3, 80) (dual of [(36, 3), 7, 81]-NRT-code) | [i] | Generalized (u, u+v)-Construction for OOAs | |
| 19 | Linear OOA(463, 23, F4, 3, 54) (dual of [(23, 3), 6, 55]-NRT-code) | [i] | Juxtaposition for OOAs | |
| 20 | Linear OOA(4102, 36, F4, 3, 86) (dual of [(36, 3), 6, 87]-NRT-code) | [i] | ||
| 21 | Linear OOA(4105, 37, F4, 3, 88) (dual of [(37, 3), 6, 89]-NRT-code) | [i] | ||
| 22 | Linear OOA(4189, 65, F4, 3, 156) (dual of [(65, 3), 6, 157]-NRT-code) | [i] | ||
| 23 | Linear OOA(4210, 72, F4, 3, 173) (dual of [(72, 3), 6, 174]-NRT-code) | [i] | ||
| 24 | Linear OOA(4177, 61, F4, 3, 148) (dual of [(61, 3), 6, 149]-NRT-code) | [i] | ||