Information on Result #2437717
Linear OOA(3242, 136, F3, 2, 142) (dual of [(136, 2), 30, 143]-NRT-code), using strength reduction based on linear OOA(3242, 136, F3, 2, 143) (dual of [(136, 2), 30, 144]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OA(2724, 34, F27, 23) (dual of [34, 10, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(2724, 38, F27, 23) (dual of [38, 14, 24]-code), using
- extended algebraic-geometric code AGe(F,14P) [i] based on function field F/F27 with g(F) = 1 and N(F) ≥ 38, using
- discarding factors / shortening the dual code based on linear OA(2724, 38, F27, 23) (dual of [38, 14, 24]-code), using
- linear OOA(35, 4, F3, 2, 5) (dual of [(4, 2), 3, 6]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;3,3) [i]
- linear OA(2724, 34, F27, 23) (dual of [34, 10, 24]-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(3241, 135, F3, 2, 141) (dual of [(135, 2), 29, 142]-NRT-code) | [i] | Truncation for OOAs | |
| 2 | Linear OOA(3242, 68, F3, 4, 142) (dual of [(68, 4), 30, 143]-NRT-code) | [i] | OOA Folding | |