Information on Result #1087542
Linear OOA(3229, 59, F3, 4, 187) (dual of [(59, 4), 7, 188]-NRT-code), using juxtaposition based on
- linear OOA(337, 11, F3, 4, 33) (dual of [(11, 4), 7, 34]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(337, 12, F3, 4, 33) (dual of [(12, 4), 11, 34]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,14P) [i] based on function field F/F3 with g(F) = 4 and N(F) ≥ 12, using
- discarding factors / shortening the dual code based on linear OOA(337, 12, F3, 4, 33) (dual of [(12, 4), 11, 34]-NRT-code), using
- linear OOA(3185, 48, F3, 4, 153) (dual of [(48, 4), 7, 154]-NRT-code), using
- repeating each code word 2 times [i] based on linear OOA(389, 24, F3, 4, 76) (dual of [(24, 4), 7, 77]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,19P) [i] based on function field F/F3 with g(F) = 13 and N(F) ≥ 24, using
- repeating each code word 2 times [i] based on linear OOA(389, 24, F3, 4, 76) (dual of [(24, 4), 7, 77]-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(3229, 59, F3, 4, 186) (dual of [(59, 4), 7, 187]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3229, 59, F3, 4, 185) (dual of [(59, 4), 7, 186]-NRT-code) | [i] | ||
| 3 | Linear OOA(3229, 59, F3, 4, 184) (dual of [(59, 4), 7, 185]-NRT-code) | [i] | ||