Information on Result #912657
Linear OOA(3228, 141, F3, 2, 111) (dual of [(141, 2), 54, 112]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(2729, 47, F27, 27) (dual of [47, 18, 28]-code), using
- discarding factors / shortening the dual code based on linear OA(2729, 48, F27, 27) (dual of [48, 19, 28]-code), using
- extended algebraic-geometric code AGe(F,20P) [i] based on function field F/F27 with g(F) = 2 and N(F) ≥ 48, using
- discarding factors / shortening the dual code based on linear OA(2729, 48, F27, 27) (dual of [48, 19, 28]-code), using
- linear OOA(33, 3, F3, 2, 3) (dual of [(3, 2), 3, 4]-NRT-code), using
- Reed–Solomon NRT-code RS(2;3,3) [i]
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(3227, 140, F3, 2, 110) (dual of [(140, 2), 53, 111]-NRT-code) | [i] | Truncation for OOAs | |
| 2 | Linear OOA(3228, 70, F3, 4, 111) (dual of [(70, 4), 52, 112]-NRT-code) | [i] | OOA Folding | |