Information on Result #1027286
Linear OOA(4209, 72, F4, 3, 169) (dual of [(72, 3), 7, 170]-NRT-code), using juxtaposition 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
- linear OOA(4182, 63, F4, 3, 149) (dual of [(63, 3), 7, 150]-NRT-code), using
- repeating each code word 3 times [i] based on linear OOA(456, 21, F4, 3, 49) (dual of [(21, 3), 7, 50]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,13P) [i] based on function field F/F4 with g(F) = 7 and N(F) ≥ 21, using
- repeating each code word 3 times [i] based on linear OOA(456, 21, F4, 3, 49) (dual of [(21, 3), 7, 50]-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(4209, 72, F4, 3, 168) (dual of [(72, 3), 7, 169]-NRT-code) | [i] | Strength Reduction for OOAs | |