Information on Result #909856
Linear OOA(470, 37, F4, 2, 57) (dual of [(37, 2), 4, 58]-NRT-code), using juxtaposition based on
- linear OOA(414, 9, F4, 2, 13) (dual of [(9, 2), 4, 14]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,4P) [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,4P) [i] based on function field F/F4 with g(F) = 1 and N(F) ≥ 9, using
- linear OOA(452, 28, F4, 2, 43) (dual of [(28, 2), 4, 44]-NRT-code), using
- repeating each code word 2 times [i] based on linear OOA(424, 14, F4, 2, 21) (dual of [(14, 2), 4, 22]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,6P) [i] based on function field F/F4 with g(F) = 3 and N(F) ≥ 14, using
- repeating each code word 2 times [i] based on linear OOA(424, 14, F4, 2, 21) (dual of [(14, 2), 4, 22]-NRT-code), using
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(470, 37, F4, 2, 56) (dual of [(37, 2), 4, 57]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(470, 37, F4, 2, 55) (dual of [(37, 2), 4, 56]-NRT-code) | [i] | ||
| 3 | Linear OOA(466, 35, F4, 2, 53) (dual of [(35, 2), 4, 54]-NRT-code) | [i] | Truncation for OOAs | |
| 4 | Linear OOA(465, 34, F4, 2, 52) (dual of [(34, 2), 3, 53]-NRT-code) | [i] | ||
| 5 | Linear OOA(464, 34, F4, 2, 51) (dual of [(34, 2), 4, 52]-NRT-code) | [i] | ||
| 6 | Linear OOA(463, 33, F4, 2, 50) (dual of [(33, 2), 3, 51]-NRT-code) | [i] | ||
| 7 | Linear OOA(488, 46, F4, 2, 71) (dual of [(46, 2), 4, 72]-NRT-code) | [i] | Juxtaposition for OOAs | |