Information on Result #1027248
Linear OOA(4202, 70, F4, 3, 163) (dual of [(70, 3), 8, 164]-NRT-code), using juxtaposition based on
- linear OOA(440, 16, F4, 3, 35) (dual of [(16, 3), 8, 36]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(440, 17, F4, 3, 35) (dual of [(17, 3), 11, 36]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,15P) [i] based on function field F/F4 with g(F) = 5 and N(F) ≥ 17, using
- discarding factors / shortening the dual code based on linear OOA(440, 17, F4, 3, 35) (dual of [(17, 3), 11, 36]-NRT-code), using
- linear OOA(4154, 54, F4, 3, 127) (dual of [(54, 3), 8, 128]-NRT-code), using
- repeating each code word 2 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 2 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(4202, 70, F4, 3, 162) (dual of [(70, 3), 8, 163]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4202, 70, F4, 3, 161) (dual of [(70, 3), 8, 162]-NRT-code) | [i] | ||
| 3 | Linear OOA(4202, 70, F4, 3, 160) (dual of [(70, 3), 8, 161]-NRT-code) | [i] | ||
| 4 | Linear OOA(4253, 87, F4, 3, 202) (dual of [(87, 3), 8, 203]-NRT-code) | [i] | Juxtaposition for OOAs | |