Information on Result #1027355
Linear OOA(4210, 72, F4, 3, 173) (dual of [(72, 3), 6, 174]-NRT-code), using juxtaposition based on
- linear OOA(421, 9, F4, 3, 20) (dual of [(9, 3), 6, 21]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,6P) [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,6P) [i] based on function field F/F4 with g(F) = 1 and N(F) ≥ 9, using
- linear OOA(4183, 63, F4, 3, 152) (dual of [(63, 3), 6, 153]-NRT-code), using
- repeating each code word 3 times [i] based on linear OOA(457, 21, F4, 3, 50) (dual of [(21, 3), 6, 51]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,12P) [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(457, 21, F4, 3, 50) (dual of [(21, 3), 6, 51]-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(4210, 72, F4, 3, 172) (dual of [(72, 3), 6, 173]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4210, 72, F4, 3, 171) (dual of [(72, 3), 6, 172]-NRT-code) | [i] | ||
| 3 | Linear OOA(4210, 72, F4, 3, 170) (dual of [(72, 3), 6, 171]-NRT-code) | [i] | ||
| 4 | Linear OOA(4210, 72, F4, 3, 169) (dual of [(72, 3), 6, 170]-NRT-code) | [i] | ||
| 5 | Linear OOA(4210, 72, F4, 3, 168) (dual of [(72, 3), 6, 169]-NRT-code) | [i] | ||
| 6 | Linear OOA(4252, 86, F4, 3, 207) (dual of [(86, 3), 6, 208]-NRT-code) | [i] | Juxtaposition for OOAs | |