Information on Result #1024278
Linear OOA(4140, 48, F4, 3, 119) (dual of [(48, 3), 4, 120]-NRT-code), using repeating each code word 6 times based on linear OOA(420, 8, F4, 3, 19) (dual of [(8, 3), 4, 20]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(420, 9, F4, 3, 19) (dual of [(9, 3), 7, 20]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,7P) [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(3;F,7P) [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(4140, 48, F4, 3, 118) (dual of [(48, 3), 4, 119]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4140, 48, F4, 3, 117) (dual of [(48, 3), 4, 118]-NRT-code) | [i] | ||
| 3 | Linear OOA(4140, 48, F4, 3, 116) (dual of [(48, 3), 4, 117]-NRT-code) | [i] | ||