Information on Result #995154
Linear OOA(423, 9, F4, 3, 22) (dual of [(9, 3), 4, 23]-NRT-code), using extended algebraic-geometric NRT-code AGe(3;F,4P) 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(450, 18, F4, 3, 45) (dual of [(18, 3), 4, 46]-NRT-code) | [i] | Repeating Each Code Word for NRT-Codes | |
| 2 | Linear OOA(477, 27, F4, 3, 68) (dual of [(27, 3), 4, 69]-NRT-code) | [i] | ||
| 3 | Linear OOA(4104, 36, F4, 3, 91) (dual of [(36, 3), 4, 92]-NRT-code) | [i] | ||
| 4 | Linear OOA(4131, 45, F4, 3, 114) (dual of [(45, 3), 4, 115]-NRT-code) | [i] | ||
| 5 | Linear OOA(4158, 54, F4, 3, 137) (dual of [(54, 3), 4, 138]-NRT-code) | [i] | ||
| 6 | Linear OOA(4185, 63, F4, 3, 160) (dual of [(63, 3), 4, 161]-NRT-code) | [i] | ||
| 7 | Linear OOA(4212, 72, F4, 3, 183) (dual of [(72, 3), 4, 184]-NRT-code) | [i] | ||
| 8 | Linear OOA(4239, 81, F4, 3, 206) (dual of [(81, 3), 4, 207]-NRT-code) | [i] | ||
| 9 | Linear OOA(4123, 139, F4, 3, 44) (dual of [(139, 3), 294, 45]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 10 | Linear OOA(4125, 139, F4, 3, 45) (dual of [(139, 3), 292, 46]-NRT-code) | [i] | ||
| 11 | Linear OOA(4179, 540, F4, 3, 45) (dual of [(540, 3), 1441, 46]-NRT-code) | [i] | ||
| 12 | Linear OOA(4112, 39, F4, 3, 89) (dual of [(39, 3), 5, 90]-NRT-code) | [i] | Generalized (u, u+v)-Construction for OOAs | |
| 13 | Linear OOA(465, 23, F4, 3, 58) (dual of [(23, 3), 4, 59]-NRT-code) | [i] | Juxtaposition for OOAs | |
| 14 | Linear OOA(468, 24, F4, 3, 60) (dual of [(24, 3), 4, 61]-NRT-code) | [i] | ||
| 15 | Linear OOA(489, 31, F4, 3, 78) (dual of [(31, 3), 4, 79]-NRT-code) | [i] | ||
| 16 | Linear OOA(492, 32, F4, 3, 81) (dual of [(32, 3), 4, 82]-NRT-code) | [i] | ||
| 17 | Linear OOA(4107, 37, F4, 3, 94) (dual of [(37, 3), 4, 95]-NRT-code) | [i] | ||
| 18 | Linear OOA(4134, 46, F4, 3, 117) (dual of [(46, 3), 4, 118]-NRT-code) | [i] | ||
| 19 | Linear OOA(4149, 51, F4, 3, 130) (dual of [(51, 3), 4, 131]-NRT-code) | [i] | ||
| 20 | Linear OOA(4173, 59, F4, 3, 150) (dual of [(59, 3), 4, 151]-NRT-code) | [i] | ||
| 21 | Linear OOA(4176, 60, F4, 3, 153) (dual of [(60, 3), 4, 154]-NRT-code) | [i] | ||
| 22 | Linear OOA(4191, 65, F4, 3, 166) (dual of [(65, 3), 4, 167]-NRT-code) | [i] | ||
| 23 | Linear OOA(4215, 73, F4, 3, 186) (dual of [(73, 3), 4, 187]-NRT-code) | [i] | ||
| 24 | Linear OOA(4218, 74, F4, 3, 189) (dual of [(74, 3), 4, 190]-NRT-code) | [i] | ||
| 25 | Linear OOA(4233, 79, F4, 3, 202) (dual of [(79, 3), 4, 203]-NRT-code) | [i] | ||
| 26 | Linear OOA(4257, 87, F4, 3, 222) (dual of [(87, 3), 4, 223]-NRT-code) | [i] | ||
| 27 | Linear OOA(4260, 88, F4, 3, 225) (dual of [(88, 3), 4, 226]-NRT-code) | [i] | ||