Information on Result #1087610
Linear OOA(3247, 63, F3, 4, 207) (dual of [(63, 4), 5, 208]-NRT-code), using juxtaposition based on
- linear OOA(319, 6, F3, 4, 18) (dual of [(6, 4), 5, 19]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(319, 7, F3, 4, 18) (dual of [(7, 4), 9, 19]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,9P) [i] based on function field F/F3 with g(F) = 1 and N(F) ≥ 7, using
- discarding factors / shortening the dual code based on linear OOA(319, 7, F3, 4, 18) (dual of [(7, 4), 9, 19]-NRT-code), using
- linear OOA(3223, 57, F3, 4, 188) (dual of [(57, 4), 5, 189]-NRT-code), using
- repeating each code word 3 times [i] based on linear OOA(371, 19, F3, 4, 62) (dual of [(19, 4), 5, 63]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,13P) [i] based on function field F/F3 with g(F) = 9 and N(F) ≥ 19, using
- repeating each code word 3 times [i] based on linear OOA(371, 19, F3, 4, 62) (dual of [(19, 4), 5, 63]-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(3245, 62, F3, 4, 205) (dual of [(62, 4), 3, 206]-NRT-code) | [i] | Truncation for OOAs | |
| 2 | Linear OOA(3244, 62, F3, 4, 204) (dual of [(62, 4), 4, 205]-NRT-code) | [i] | ||
| 3 | Linear OOA(3241, 61, F3, 4, 201) (dual of [(61, 4), 3, 202]-NRT-code) | [i] | ||