Information on Result #906278
Linear OOA(466, 36, F4, 2, 51) (dual of [(36, 2), 6, 52]-NRT-code), using generalized (u, u+v)-construction 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)
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(466, 36, F4, 2, 50) (dual of [(36, 2), 6, 51]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(466, 36, F4, 2, 49) (dual of [(36, 2), 6, 50]-NRT-code) | [i] | ||
| 3 | Linear OOA(465, 35, F4, 2, 50) (dual of [(35, 2), 5, 51]-NRT-code) | [i] | Truncation for OOAs | |
| 4 | Linear OOA(464, 35, F4, 2, 49) (dual of [(35, 2), 6, 50]-NRT-code) | [i] | ||
| 5 | Linear OOA(463, 34, F4, 2, 48) (dual of [(34, 2), 5, 49]-NRT-code) | [i] | ||
| 6 | Linear OOA(462, 34, F4, 2, 47) (dual of [(34, 2), 6, 48]-NRT-code) | [i] | ||
| 7 | Linear OOA(486, 46, F4, 2, 64) (dual of [(46, 2), 6, 65]-NRT-code) | [i] | Juxtaposition for OOAs | |
| 8 | Linear OOA(4178, 92, F4, 2, 135) (dual of [(92, 2), 6, 136]-NRT-code) | [i] | ||
| 9 | Linear OOA(4246, 126, F4, 2, 195) (dual of [(126, 2), 6, 196]-NRT-code) | [i] | ||