Information on Result #1027368
Linear OOA(4222, 76, F4, 3, 183) (dual of [(76, 3), 6, 184]-NRT-code), using juxtaposition based on
- linear OOA(433, 13, F4, 3, 30) (dual of [(13, 3), 6, 31]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(433, 14, F4, 3, 30) (dual of [(14, 3), 9, 31]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,11P) [i] based on function field F/F4 with g(F) = 3 and N(F) ≥ 14, using
- discarding factors / shortening the dual code based on linear OOA(433, 14, F4, 3, 30) (dual of [(14, 3), 9, 31]-NRT-code), 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(4222, 76, F4, 3, 182) (dual of [(76, 3), 6, 183]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4222, 76, F4, 3, 181) (dual of [(76, 3), 6, 182]-NRT-code) | [i] | ||
| 3 | Linear OOA(4222, 76, F4, 3, 180) (dual of [(76, 3), 6, 181]-NRT-code) | [i] | ||
| 4 | Linear OOA(4222, 76, F4, 3, 179) (dual of [(76, 3), 6, 180]-NRT-code) | [i] | ||
| 5 | Linear OOA(4222, 76, F4, 3, 178) (dual of [(76, 3), 6, 179]-NRT-code) | [i] | ||
| 6 | Linear OOA(4222, 76, F4, 3, 177) (dual of [(76, 3), 6, 178]-NRT-code) | [i] | ||