Information on Result #907889
Linear OOA(461, 32, F4, 2, 51) (dual of [(32, 2), 3, 52]-NRT-code), using repeating each code word 4 times based on linear OOA(413, 8, F4, 2, 12) (dual of [(8, 2), 3, 13]-NRT-code), using
- discarding factors / shortening the dual code 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
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(461, 32, F4, 2, 50) (dual of [(32, 2), 3, 51]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(461, 32, F4, 2, 49) (dual of [(32, 2), 3, 50]-NRT-code) | [i] | ||
| 3 | Linear OOA(461, 32, F4, 2, 48) (dual of [(32, 2), 3, 49]-NRT-code) | [i] | ||