Information on Result #1024963
Linear OOA(9146, 50, F9, 3, 137) (dual of [(50, 3), 4, 138]-NRT-code), using repeating each code word 2 times based on linear OOA(971, 25, F9, 3, 68) (dual of [(25, 3), 4, 69]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(971, 28, F9, 3, 68) (dual of [(28, 3), 13, 69]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,15P) [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using
- the Hermitian function field over F9 [i]
- extended algebraic-geometric NRT-code AGe(3;F,15P) [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, 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(9146, 50, F9, 3, 136) (dual of [(50, 3), 4, 137]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(9146, 50, F9, 3, 135) (dual of [(50, 3), 4, 136]-NRT-code) | [i] | ||