Information on Result #909932
Linear OOA(471, 37, F4, 2, 60) (dual of [(37, 2), 3, 61]-NRT-code), using juxtaposition based on
- linear OOA(47, 5, F4, 2, 7) (dual of [(5, 2), 3, 8]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;3,4) [i]
- linear OOA(461, 32, F4, 2, 52) (dual of [(32, 2), 3, 53]-NRT-code), using
- juxtaposition [i] based on
- linear OOA(47, 5, F4, 2, 7) (dual of [(5, 2), 3, 8]-NRT-code) (see above)
- linear OOA(451, 27, F4, 2, 44) (dual of [(27, 2), 3, 45]-NRT-code), using
- repeating each code word 3 times [i] based on linear OOA(415, 9, F4, 2, 14) (dual of [(9, 2), 3, 15]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,3P) [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,3P) [i] based on function field F/F4 with g(F) = 1 and N(F) ≥ 9, using
- repeating each code word 3 times [i] based on linear OOA(415, 9, F4, 2, 14) (dual of [(9, 2), 3, 15]-NRT-code), using
- juxtaposition [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(471, 37, F4, 2, 59) (dual of [(37, 2), 3, 60]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(471, 37, F4, 2, 58) (dual of [(37, 2), 3, 59]-NRT-code) | [i] | ||
| 3 | Linear OOA(471, 37, F4, 2, 57) (dual of [(37, 2), 3, 58]-NRT-code) | [i] | ||
| 4 | Linear OOA(471, 37, F4, 2, 56) (dual of [(37, 2), 3, 57]-NRT-code) | [i] | ||
| 5 | Linear OOA(467, 35, F4, 2, 56) (dual of [(35, 2), 3, 57]-NRT-code) | [i] | Truncation for OOAs | |
| 6 | Linear OOA(466, 34, F4, 2, 55) (dual of [(34, 2), 2, 56]-NRT-code) | [i] | ||
| 7 | Linear OOA(465, 34, F4, 2, 54) (dual of [(34, 2), 3, 55]-NRT-code) | [i] | ||
| 8 | Linear OOA(463, 33, F4, 2, 52) (dual of [(33, 2), 3, 53]-NRT-code) | [i] | ||