Information on Result #1027232
Linear OOA(4259, 89, F4, 3, 207) (dual of [(89, 3), 8, 208]-NRT-code), using juxtaposition based on
- linear OOA(416, 8, F4, 3, 15) (dual of [(8, 3), 8, 16]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(416, 9, F4, 3, 15) (dual of [(9, 3), 11, 16]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,11P) [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,11P) [i] based on function field F/F4 with g(F) = 1 and N(F) ≥ 9, using
- discarding factors / shortening the dual code based on linear OOA(416, 9, F4, 3, 15) (dual of [(9, 3), 11, 16]-NRT-code), using
- linear OOA(4235, 81, F4, 3, 191) (dual of [(81, 3), 8, 192]-NRT-code), using
- repeating each code word 3 times [i] based on linear OOA(473, 27, F4, 3, 63) (dual of [(27, 3), 8, 64]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,17P) [i] based on function field F/F4 with g(F) = 10 and N(F) ≥ 27, using
- repeating each code word 3 times [i] based on linear OOA(473, 27, F4, 3, 63) (dual of [(27, 3), 8, 64]-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(4259, 89, F4, 3, 206) (dual of [(89, 3), 8, 207]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4259, 89, F4, 3, 205) (dual of [(89, 3), 8, 206]-NRT-code) | [i] | ||
| 3 | Linear OOA(4259, 89, F4, 3, 204) (dual of [(89, 3), 8, 205]-NRT-code) | [i] | ||
| 4 | Linear OOA(4259, 89, F4, 3, 203) (dual of [(89, 3), 8, 204]-NRT-code) | [i] | ||
| 5 | Linear OOA(4259, 89, F4, 3, 202) (dual of [(89, 3), 8, 203]-NRT-code) | [i] | ||