Information on Result #941905
Linear OOA(4246, 126, F4, 2, 195) (dual of [(126, 2), 6, 196]-NRT-code), using juxtaposition based on
- linear OOA(466, 36, F4, 2, 51) (dual of [(36, 2), 6, 52]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- linear OOA(413, 9, F4, 2, 12) (dual of [(9, 2), 5, 13]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,5P) [i] based on function field F/F4 with g(F) = 1 and N(F) ≥ 9, using
- the Hermitian function field over F4 [i]
- extended algebraic-geometric NRT-code AGe(2;F,5P) [i] based on function field F/F4 with g(F) = 1 and N(F) ≥ 9, using
- linear OOA(417, 9, F4, 2, 17) (dual of [(9, 2), 1, 18]-NRT-code), using
- dual of repetition NRT-code with length 9 [i]
- linear OOA(418, 9, F4, 2, 18) (dual of [(9, 2), 0, 19]-NRT-code), using
- linear OOA(418, 9, F4, 2, 18) (dual of [(9, 2), 0, 19]-NRT-code) (see above)
- linear OOA(413, 9, F4, 2, 12) (dual of [(9, 2), 5, 13]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- linear OOA(4174, 90, F4, 2, 143) (dual of [(90, 2), 6, 144]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OA(1615, 18, F16, 15) (dual of [18, 3, 16]-code or 18-arc in PG(14,16)), using
- Denniston code D(1,16) [i]
- linear OOA(48, 5, F4, 2, 8) (dual of [(5, 2), 2, 9]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;2,4) [i]
- linear OA(1615, 18, F16, 15) (dual of [18, 3, 16]-code or 18-arc in PG(14,16)), using
- concatenation of two NRT-codes [i] based on
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(4238, 122, F4, 2, 187) (dual of [(122, 2), 6, 188]-NRT-code) | [i] | Truncation for OOAs | |
| 2 | Linear OOA(4236, 121, F4, 2, 185) (dual of [(121, 2), 6, 186]-NRT-code) | [i] | ||
| 3 | Linear OOA(4235, 120, F4, 2, 184) (dual of [(120, 2), 5, 185]-NRT-code) | [i] | ||
| 4 | Linear OOA(4233, 119, F4, 2, 182) (dual of [(119, 2), 5, 183]-NRT-code) | [i] | ||
| 5 | Linear OOA(4232, 119, F4, 2, 181) (dual of [(119, 2), 6, 182]-NRT-code) | [i] | ||
| 6 | Linear OOA(4231, 118, F4, 2, 180) (dual of [(118, 2), 5, 181]-NRT-code) | [i] | ||
| 7 | Linear OOA(4230, 118, F4, 2, 179) (dual of [(118, 2), 6, 180]-NRT-code) | [i] | ||
| 8 | Linear OOA(4228, 117, F4, 2, 177) (dual of [(117, 2), 6, 178]-NRT-code) | [i] | ||
| 9 | Linear OOA(4226, 116, F4, 2, 175) (dual of [(116, 2), 6, 176]-NRT-code) | [i] | ||
| 10 | Linear OOA(4223, 114, F4, 2, 172) (dual of [(114, 2), 5, 173]-NRT-code) | [i] | ||
| 11 | Linear OOA(4222, 114, F4, 2, 171) (dual of [(114, 2), 6, 172]-NRT-code) | [i] | ||
| 12 | Linear OOA(4220, 113, F4, 2, 169) (dual of [(113, 2), 6, 170]-NRT-code) | [i] | ||
| 13 | Linear OOA(4254, 129, F4, 2, 200) (dual of [(129, 2), 4, 201]-NRT-code) | [i] | Juxtaposition for OOAs | |