Information on Result #995151
Linear OOA(420, 9, F4, 3, 19) (dual of [(9, 3), 7, 20]-NRT-code), using extended algebraic-geometric NRT-code AGe(3;F,7P) 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(468, 24, F4, 3, 59) (dual of [(24, 3), 4, 60]-NRT-code) | [i] | Repeating Each Code Word for NRT-Codes | |
| 2 | Linear OOA(492, 32, F4, 3, 79) (dual of [(32, 3), 4, 80]-NRT-code) | [i] | ||
| 3 | Linear OOA(4116, 40, F4, 3, 99) (dual of [(40, 3), 4, 100]-NRT-code) | [i] | ||
| 4 | Linear OOA(4140, 48, F4, 3, 119) (dual of [(48, 3), 4, 120]-NRT-code) | [i] | ||
| 5 | Linear OOA(4164, 56, F4, 3, 139) (dual of [(56, 3), 4, 140]-NRT-code) | [i] | ||
| 6 | Linear OOA(4188, 64, F4, 3, 159) (dual of [(64, 3), 4, 160]-NRT-code) | [i] | ||
| 7 | Linear OOA(4212, 72, F4, 3, 179) (dual of [(72, 3), 4, 180]-NRT-code) | [i] | ||
| 8 | Linear OOA(4236, 80, F4, 3, 199) (dual of [(80, 3), 4, 200]-NRT-code) | [i] | ||
| 9 | Linear OOA(4260, 88, F4, 3, 219) (dual of [(88, 3), 4, 220]-NRT-code) | [i] | ||
| 10 | Linear OOA(4108, 139, F4, 3, 38) (dual of [(139, 3), 309, 39]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 11 | Linear OOA(4110, 139, F4, 3, 39) (dual of [(139, 3), 307, 40]-NRT-code) | [i] | ||
| 12 | Linear OOA(4100, 36, F4, 3, 79) (dual of [(36, 3), 8, 80]-NRT-code) | [i] | Generalized (u, u+v)-Construction for OOAs | |
| 13 | Linear OOA(4101, 36, F4, 3, 84) (dual of [(36, 3), 7, 85]-NRT-code) | [i] | Juxtaposition for OOAs | |
| 14 | Linear OOA(4209, 72, F4, 3, 169) (dual of [(72, 3), 7, 170]-NRT-code) | [i] | ||
| 15 | Linear OOA(462, 22, F4, 3, 55) (dual of [(22, 3), 4, 56]-NRT-code) | [i] | ||
| 16 | Linear OOA(4146, 50, F4, 3, 127) (dual of [(50, 3), 4, 128]-NRT-code) | [i] | ||
| 17 | Linear OOA(4167, 57, F4, 3, 144) (dual of [(57, 3), 4, 145]-NRT-code) | [i] | ||
| 18 | Linear OOA(4170, 58, F4, 3, 147) (dual of [(58, 3), 4, 148]-NRT-code) | [i] | ||
| 19 | Linear OOA(4188, 64, F4, 3, 163) (dual of [(64, 3), 4, 164]-NRT-code) | [i] | ||
| 20 | Linear OOA(4230, 78, F4, 3, 199) (dual of [(78, 3), 4, 200]-NRT-code) | [i] | ||
| 21 | Linear OOA(4251, 85, F4, 3, 216) (dual of [(85, 3), 4, 217]-NRT-code) | [i] | ||
| 22 | Linear OOA(4254, 86, F4, 3, 219) (dual of [(86, 3), 4, 220]-NRT-code) | [i] | ||
| 23 | Linear OOA(4176, 61, F4, 3, 145) (dual of [(61, 3), 7, 146]-NRT-code) | [i] | ||
| 24 | Linear OOA(267, 27, F2, 3, 39) (dual of [(27, 3), 14, 40]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |